TSTP Solution File: LCL848-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 11:40:45 EDT 2022

% Result   : Unknown 153.04s 154.03s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 05:02:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.52  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.52  % Orientation found
% 0.20/0.52  % 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_753698.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a71dd2 | grep -v "SZS"
% 0.20/0.54  
% 0.20/0.54  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.54  
% 0.20/0.54  % 
% 0.20/0.54  % ------  iProver source info 
% 0.20/0.54  
% 0.20/0.54  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.54  % git: non_committed_changes: true
% 0.20/0.54  % git: last_make_outside_of_git: true
% 0.20/0.54  
% 0.20/0.54  % 
% 0.20/0.54  % ------ Input Options
% 0.20/0.54  
% 0.20/0.54  % --out_options                         all
% 0.20/0.54  % --tptp_safe_out                       true
% 0.20/0.54  % --problem_path                        ""
% 0.20/0.54  % --include_path                        ""
% 0.20/0.54  % --clausifier                          .//eprover
% 0.20/0.54  % --clausifier_options                  --tstp-format  
% 0.20/0.54  % --stdin                               false
% 0.20/0.54  % --dbg_backtrace                       false
% 0.20/0.54  % --dbg_dump_prop_clauses               false
% 0.20/0.54  % --dbg_dump_prop_clauses_file          -
% 0.20/0.54  % --dbg_out_stat                        false
% 0.20/0.54  
% 0.20/0.54  % ------ General Options
% 0.20/0.54  
% 0.20/0.54  % --fof                                 false
% 0.20/0.54  % --time_out_real                       150.
% 0.20/0.54  % --time_out_prep_mult                  0.2
% 0.20/0.54  % --time_out_virtual                    -1.
% 0.20/0.54  % --schedule                            none
% 0.20/0.54  % --ground_splitting                    input
% 0.20/0.54  % --splitting_nvd                       16
% 0.20/0.54  % --non_eq_to_eq                        false
% 0.20/0.54  % --prep_gs_sim                         true
% 0.20/0.54  % --prep_unflatten                      false
% 0.20/0.54  % --prep_res_sim                        true
% 0.20/0.54  % --prep_upred                          true
% 0.20/0.54  % --res_sim_input                       true
% 0.20/0.54  % --clause_weak_htbl                    true
% 0.20/0.54  % --gc_record_bc_elim                   false
% 0.20/0.54  % --symbol_type_check                   false
% 0.20/0.54  % --clausify_out                        false
% 0.20/0.54  % --large_theory_mode                   false
% 0.20/0.54  % --prep_sem_filter                     none
% 0.20/0.54  % --prep_sem_filter_out                 false
% 0.20/0.54  % --preprocessed_out                    false
% 0.20/0.54  % --sub_typing                          false
% 0.20/0.54  % --brand_transform                     false
% 0.20/0.54  % --pure_diseq_elim                     true
% 0.20/0.54  % --min_unsat_core                      false
% 0.20/0.54  % --pred_elim                           true
% 0.20/0.54  % --add_important_lit                   false
% 0.20/0.54  % --soft_assumptions                    false
% 0.20/0.54  % --reset_solvers                       false
% 0.20/0.54  % --bc_imp_inh                          []
% 0.20/0.54  % --conj_cone_tolerance                 1.5
% 0.20/0.54  % --prolific_symb_bound                 500
% 0.20/0.54  % --lt_threshold                        2000
% 0.20/0.54  
% 0.20/0.54  % ------ SAT Options
% 0.20/0.54  
% 0.20/0.54  % --sat_mode                            false
% 0.20/0.54  % --sat_fm_restart_options              ""
% 0.20/0.54  % --sat_gr_def                          false
% 0.20/0.54  % --sat_epr_types                       true
% 0.20/0.54  % --sat_non_cyclic_types                false
% 0.20/0.54  % --sat_finite_models                   false
% 0.20/0.54  % --sat_fm_lemmas                       false
% 0.20/0.54  % --sat_fm_prep                         false
% 0.20/0.54  % --sat_fm_uc_incr                      true
% 0.20/0.54  % --sat_out_model                       small
% 0.20/0.54  % --sat_out_clauses                     false
% 0.20/0.54  
% 0.20/0.54  % ------ QBF Options
% 0.20/0.54  
% 0.20/0.54  % --qbf_mode                            false
% 0.20/0.54  % --qbf_elim_univ                       true
% 0.20/0.54  % --qbf_sk_in                           true
% 0.20/0.54  % --qbf_pred_elim                       true
% 0.20/0.54  % --qbf_split                           32
% 0.20/0.54  
% 0.20/0.54  % ------ BMC1 Options
% 0.20/0.54  
% 0.20/0.54  % --bmc1_incremental                    false
% 0.20/0.54  % --bmc1_axioms                         reachable_all
% 0.20/0.54  % --bmc1_min_bound                      0
% 0.20/0.54  % --bmc1_max_bound                      -1
% 0.20/0.54  % --bmc1_max_bound_default              -1
% 0.20/0.54  % --bmc1_symbol_reachability            true
% 0.20/0.54  % --bmc1_property_lemmas                false
% 0.20/0.54  % --bmc1_k_induction                    false
% 0.20/0.54  % --bmc1_non_equiv_states               false
% 0.20/0.54  % --bmc1_deadlock                       false
% 0.20/0.54  % --bmc1_ucm                            false
% 0.20/0.54  % --bmc1_add_unsat_core                 none
% 0.20/0.54  % --bmc1_unsat_core_children            false
% 0.20/0.54  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.54  % --bmc1_out_stat                       full
% 0.20/0.54  % --bmc1_ground_init                    false
% 0.20/0.54  % --bmc1_pre_inst_next_state            false
% 0.20/0.54  % --bmc1_pre_inst_state                 false
% 0.20/0.54  % --bmc1_pre_inst_reach_state           false
% 0.20/0.54  % --bmc1_out_unsat_core                 false
% 0.20/0.54  % --bmc1_aig_witness_out                false
% 0.20/0.54  % --bmc1_verbose                        false
% 0.20/0.54  % --bmc1_dump_clauses_tptp              false
% 4.66/5.60  % --bmc1_dump_unsat_core_tptp           false
% 4.66/5.60  % --bmc1_dump_file                      -
% 4.66/5.60  % --bmc1_ucm_expand_uc_limit            128
% 4.66/5.60  % --bmc1_ucm_n_expand_iterations        6
% 4.66/5.60  % --bmc1_ucm_extend_mode                1
% 4.66/5.60  % --bmc1_ucm_init_mode                  2
% 4.66/5.60  % --bmc1_ucm_cone_mode                  none
% 4.66/5.60  % --bmc1_ucm_reduced_relation_type      0
% 4.66/5.60  % --bmc1_ucm_relax_model                4
% 4.66/5.60  % --bmc1_ucm_full_tr_after_sat          true
% 4.66/5.60  % --bmc1_ucm_expand_neg_assumptions     false
% 4.66/5.60  % --bmc1_ucm_layered_model              none
% 4.66/5.60  % --bmc1_ucm_max_lemma_size             10
% 4.66/5.60  
% 4.66/5.60  % ------ AIG Options
% 4.66/5.60  
% 4.66/5.60  % --aig_mode                            false
% 4.66/5.60  
% 4.66/5.60  % ------ Instantiation Options
% 4.66/5.60  
% 4.66/5.60  % --instantiation_flag                  true
% 4.66/5.60  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.66/5.60  % --inst_solver_per_active              750
% 4.66/5.60  % --inst_solver_calls_frac              0.5
% 4.66/5.60  % --inst_passive_queue_type             priority_queues
% 4.66/5.60  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.66/5.60  % --inst_passive_queues_freq            [25;2]
% 4.66/5.60  % --inst_dismatching                    true
% 4.66/5.60  % --inst_eager_unprocessed_to_passive   true
% 4.66/5.60  % --inst_prop_sim_given                 true
% 4.66/5.60  % --inst_prop_sim_new                   false
% 4.66/5.60  % --inst_orphan_elimination             true
% 4.66/5.60  % --inst_learning_loop_flag             true
% 4.66/5.60  % --inst_learning_start                 3000
% 4.66/5.60  % --inst_learning_factor                2
% 4.66/5.60  % --inst_start_prop_sim_after_learn     3
% 4.66/5.60  % --inst_sel_renew                      solver
% 4.66/5.60  % --inst_lit_activity_flag              true
% 4.66/5.60  % --inst_out_proof                      true
% 4.66/5.60  
% 4.66/5.60  % ------ Resolution Options
% 4.66/5.60  
% 4.66/5.60  % --resolution_flag                     true
% 4.66/5.60  % --res_lit_sel                         kbo_max
% 4.66/5.60  % --res_to_prop_solver                  none
% 4.66/5.60  % --res_prop_simpl_new                  false
% 4.66/5.60  % --res_prop_simpl_given                false
% 4.66/5.60  % --res_passive_queue_type              priority_queues
% 4.66/5.60  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.66/5.60  % --res_passive_queues_freq             [15;5]
% 4.66/5.60  % --res_forward_subs                    full
% 4.66/5.60  % --res_backward_subs                   full
% 4.66/5.60  % --res_forward_subs_resolution         true
% 4.66/5.60  % --res_backward_subs_resolution        true
% 4.66/5.60  % --res_orphan_elimination              false
% 4.66/5.60  % --res_time_limit                      1000.
% 4.66/5.60  % --res_out_proof                       true
% 4.66/5.60  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_753698.s
% 4.66/5.60  % --modulo                              true
% 4.66/5.60  
% 4.66/5.60  % ------ Combination Options
% 4.66/5.60  
% 4.66/5.60  % --comb_res_mult                       1000
% 4.66/5.60  % --comb_inst_mult                      300
% 4.66/5.60  % ------ 
% 4.66/5.60  
% 4.66/5.60  % ------ Parsing...% successful
% 4.66/5.60  
% 4.66/5.60  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 4.66/5.60  
% 4.66/5.60  % ------ Proving...
% 4.66/5.60  % ------ Problem Properties 
% 4.66/5.60  
% 4.66/5.60  % 
% 4.66/5.60  % EPR                                   false
% 4.66/5.60  % Horn                                  false
% 4.66/5.60  % Has equality                          true
% 4.66/5.60  
% 4.66/5.60  % % ------ Input Options Time Limit: Unbounded
% 4.66/5.60  
% 4.66/5.60  
% 4.66/5.60  Compiling...
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% 4.66/5.60  Compiling...
% 4.66/5.60  Loading plugin: done.
% 4.66/5.60  % % ------ Current options:
% 4.66/5.60  
% 4.66/5.60  % ------ Input Options
% 4.66/5.60  
% 4.66/5.60  % --out_options                         all
% 4.66/5.60  % --tptp_safe_out                       true
% 4.66/5.60  % --problem_path                        ""
% 4.66/5.60  % --include_path                        ""
% 4.66/5.60  % --clausifier                          .//eprover
% 4.66/5.60  % --clausifier_options                  --tstp-format  
% 4.66/5.60  % --stdin                               false
% 4.66/5.60  % --dbg_backtrace                       false
% 4.66/5.60  % --dbg_dump_prop_clauses               false
% 4.66/5.60  % --dbg_dump_prop_clauses_file          -
% 4.66/5.60  % --dbg_out_stat                        false
% 4.66/5.60  
% 4.66/5.60  % ------ General Options
% 4.66/5.60  
% 4.66/5.60  % --fof                                 false
% 4.66/5.60  % --time_out_real                       150.
% 4.66/5.60  % --time_out_prep_mult                  0.2
% 4.66/5.60  % --time_out_virtual                    -1.
% 4.66/5.60  % --schedule                            none
% 4.66/5.60  % --ground_splitting                    input
% 4.66/5.60  % --splitting_nvd                       16
% 4.66/5.60  % --non_eq_to_eq                        false
% 4.66/5.60  % --prep_gs_sim                         true
% 4.66/5.60  % --prep_unflatten                      false
% 4.66/5.60  % --prep_res_sim                        true
% 4.66/5.60  % --prep_upred                          true
% 4.66/5.60  % --res_sim_input                       true
% 4.66/5.60  % --clause_weak_htbl                    true
% 4.66/5.60  % --gc_record_bc_elim                   false
% 4.66/5.60  % --symbol_type_check                   false
% 4.66/5.60  % --clausify_out                        false
% 4.66/5.60  % --large_theory_mode                   false
% 4.66/5.60  % --prep_sem_filter                     none
% 4.66/5.60  % --prep_sem_filter_out                 false
% 4.66/5.60  % --preprocessed_out                    false
% 4.66/5.60  % --sub_typing                          false
% 4.66/5.60  % --brand_transform                     false
% 4.66/5.60  % --pure_diseq_elim                     true
% 4.66/5.60  % --min_unsat_core                      false
% 4.66/5.60  % --pred_elim                           true
% 4.66/5.60  % --add_important_lit                   false
% 4.66/5.60  % --soft_assumptions                    false
% 4.66/5.60  % --reset_solvers                       false
% 4.66/5.60  % --bc_imp_inh                          []
% 4.66/5.60  % --conj_cone_tolerance                 1.5
% 4.66/5.60  % --prolific_symb_bound                 500
% 4.66/5.60  % --lt_threshold                        2000
% 4.66/5.60  
% 4.66/5.60  % ------ SAT Options
% 4.66/5.60  
% 4.66/5.60  % --sat_mode                            false
% 4.66/5.60  % --sat_fm_restart_options              ""
% 4.66/5.60  % --sat_gr_def                          false
% 4.66/5.60  % --sat_epr_types                       true
% 4.66/5.60  % --sat_non_cyclic_types                false
% 4.66/5.60  % --sat_finite_models                   false
% 4.66/5.60  % --sat_fm_lemmas                       false
% 4.66/5.60  % --sat_fm_prep                         false
% 4.66/5.60  % --sat_fm_uc_incr                      true
% 4.66/5.60  % --sat_out_model                       small
% 4.66/5.60  % --sat_out_clauses                     false
% 4.66/5.60  
% 4.66/5.60  % ------ QBF Options
% 4.66/5.60  
% 4.66/5.60  % --qbf_mode                            false
% 4.66/5.60  % --qbf_elim_univ                       true
% 4.66/5.60  % --qbf_sk_in                           true
% 4.66/5.60  % --qbf_pred_elim                       true
% 4.66/5.60  % --qbf_split                           32
% 4.66/5.60  
% 4.66/5.60  % ------ BMC1 Options
% 4.66/5.60  
% 4.66/5.60  % --bmc1_incremental                    false
% 4.66/5.60  % --bmc1_axioms                         reachable_all
% 4.66/5.60  % --bmc1_min_bound                      0
% 4.66/5.60  % --bmc1_max_bound                      -1
% 4.66/5.60  % --bmc1_max_bound_default              -1
% 4.66/5.60  % --bmc1_symbol_reachability            true
% 4.66/5.60  % --bmc1_property_lemmas                false
% 4.66/5.60  % --bmc1_k_induction                    false
% 4.66/5.60  % --bmc1_non_equiv_states               false
% 4.66/5.60  % --bmc1_deadlock                       false
% 4.66/5.60  % --bmc1_ucm                            false
% 4.66/5.60  % --bmc1_add_unsat_core                 none
% 4.66/5.60  % --bmc1_unsat_core_children            false
% 4.66/5.60  % --bmc1_unsat_core_extrapolate_axioms  false
% 4.66/5.60  % --bmc1_out_stat                       full
% 4.66/5.60  % --bmc1_ground_init                    false
% 4.66/5.60  % --bmc1_pre_inst_next_state            false
% 4.66/5.60  % --bmc1_pre_inst_state                 false
% 4.66/5.60  % --bmc1_pre_inst_reach_state           false
% 4.66/5.60  % --bmc1_out_unsat_core                 false
% 4.66/5.60  % --bmc1_aig_witness_out                false
% 4.66/5.60  % --bmc1_verbose                        false
% 4.66/5.60  % --bmc1_dump_clauses_tptp              false
% 4.66/5.60  % --bmc1_dump_unsat_core_tptp           false
% 4.66/5.60  % --bmc1_dump_file                      -
% 4.66/5.60  % --bmc1_ucm_expand_uc_limit            128
% 4.66/5.60  % --bmc1_ucm_n_expand_iterations        6
% 4.66/5.60  % --bmc1_ucm_extend_mode                1
% 4.66/5.60  % --bmc1_ucm_init_mode                  2
% 4.66/5.60  % --bmc1_ucm_cone_mode                  none
% 4.66/5.60  % --bmc1_ucm_reduced_relation_type      0
% 4.66/5.60  % --bmc1_ucm_relax_model                4
% 4.66/5.60  % --bmc1_ucm_full_tr_after_sat          true
% 149.56/150.54  % --bmc1_ucm_expand_neg_assumptions     false
% 149.56/150.54  % --bmc1_ucm_layered_model              none
% 149.56/150.54  % --bmc1_ucm_max_lemma_size             10
% 149.56/150.54  
% 149.56/150.54  % ------ AIG Options
% 149.56/150.54  
% 149.56/150.54  % --aig_mode                            false
% 149.56/150.54  
% 149.56/150.54  % ------ Instantiation Options
% 149.56/150.54  
% 149.56/150.54  % --instantiation_flag                  true
% 149.56/150.54  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 149.56/150.54  % --inst_solver_per_active              750
% 149.56/150.54  % --inst_solver_calls_frac              0.5
% 149.56/150.54  % --inst_passive_queue_type             priority_queues
% 149.56/150.54  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 149.56/150.54  % --inst_passive_queues_freq            [25;2]
% 149.56/150.54  % --inst_dismatching                    true
% 149.56/150.54  % --inst_eager_unprocessed_to_passive   true
% 149.56/150.54  % --inst_prop_sim_given                 true
% 149.56/150.54  % --inst_prop_sim_new                   false
% 149.56/150.54  % --inst_orphan_elimination             true
% 149.56/150.54  % --inst_learning_loop_flag             true
% 149.56/150.54  % --inst_learning_start                 3000
% 149.56/150.54  % --inst_learning_factor                2
% 149.56/150.54  % --inst_start_prop_sim_after_learn     3
% 149.56/150.54  % --inst_sel_renew                      solver
% 149.56/150.54  % --inst_lit_activity_flag              true
% 149.56/150.54  % --inst_out_proof                      true
% 149.56/150.54  
% 149.56/150.54  % ------ Resolution Options
% 149.56/150.54  
% 149.56/150.54  % --resolution_flag                     true
% 149.56/150.54  % --res_lit_sel                         kbo_max
% 149.56/150.54  % --res_to_prop_solver                  none
% 149.56/150.54  % --res_prop_simpl_new                  false
% 149.56/150.54  % --res_prop_simpl_given                false
% 149.56/150.54  % --res_passive_queue_type              priority_queues
% 149.56/150.54  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 149.56/150.54  % --res_passive_queues_freq             [15;5]
% 149.56/150.54  % --res_forward_subs                    full
% 149.56/150.54  % --res_backward_subs                   full
% 149.56/150.54  % --res_forward_subs_resolution         true
% 149.56/150.54  % --res_backward_subs_resolution        true
% 149.56/150.54  % --res_orphan_elimination              false
% 149.56/150.54  % --res_time_limit                      1000.
% 149.56/150.54  % --res_out_proof                       true
% 149.56/150.54  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_753698.s
% 149.56/150.54  % --modulo                              true
% 149.56/150.54  
% 149.56/150.54  % ------ Combination Options
% 149.56/150.54  
% 149.56/150.54  % --comb_res_mult                       1000
% 149.56/150.54  % --comb_inst_mult                      300
% 149.56/150.54  % ------ 
% 149.56/150.54  
% 149.56/150.54  
% 149.56/150.54  
% 149.56/150.54  % ------ Proving...
% 149.56/150.54  % 
% 149.56/150.54  
% 149.56/150.54  
% 149.56/150.54  % Time Out Real
% 149.56/150.54  
% 149.56/150.54  % ------                             Statistics
% 149.56/150.54  
% 149.56/150.54  % ------ General
% 149.56/150.54  
% 149.56/150.54  % num_of_input_clauses:                 1546
% 149.56/150.54  % num_of_input_neg_conjectures:         1
% 149.56/150.54  % num_of_splits:                        0
% 149.56/150.54  % num_of_split_atoms:                   0
% 149.56/150.54  % num_of_sem_filtered_clauses:          0
% 149.56/150.54  % num_of_subtypes:                      0
% 149.56/150.54  % monotx_restored_types:                0
% 149.56/150.54  % sat_num_of_epr_types:                 0
% 149.56/150.54  % sat_num_of_non_cyclic_types:          0
% 149.56/150.54  % sat_guarded_non_collapsed_types:      0
% 149.56/150.54  % is_epr:                               0
% 149.56/150.54  % is_horn:                              0
% 149.56/150.54  % has_eq:                               1
% 149.56/150.54  % num_pure_diseq_elim:                  0
% 149.56/150.54  % simp_replaced_by:                     0
% 149.56/150.54  % res_preprocessed:                     2
% 149.56/150.54  % prep_upred:                           0
% 149.56/150.54  % prep_unflattend:                      0
% 149.56/150.54  % pred_elim_cands:                      0
% 149.56/150.54  % pred_elim:                            0
% 149.56/150.54  % pred_elim_cl:                         0
% 149.56/150.54  % pred_elim_cycles:                     0
% 149.56/150.54  % forced_gc_time:                       0
% 149.56/150.54  % gc_basic_clause_elim:                 0
% 149.56/150.54  % parsing_time:                         0.088
% 149.56/150.54  % sem_filter_time:                      0.
% 149.56/150.54  % pred_elim_time:                       0.
% 149.56/150.54  % out_proof_time:                       0.
% 149.56/150.54  % monotx_time:                          0.
% 149.56/150.54  % subtype_inf_time:                     0.
% 149.56/150.54  % unif_index_cands_time:                0.003
% 149.56/150.54  % unif_index_add_time:                  0.004
% 149.56/150.54  % total_time:                           150.017
% 149.56/150.54  % num_of_symbols:                       122
% 149.56/150.54  % num_of_terms:                         67017
% 149.56/150.54  
% 149.56/150.54  % ------ Propositional Solver
% 149.56/150.54  
% 149.56/150.54  % prop_solver_calls:                    1
% 149.56/150.54  % prop_fast_solver_calls:               3
% 149.56/150.54  % prop_num_of_clauses:                  1456
% 149.56/150.54  % prop_preprocess_simplified:           4602
% 149.56/150.54  % prop_fo_subsumed:                     0
% 149.56/150.55  % prop_solver_time:                     0.
% 149.56/150.55  % prop_fast_solver_time:                0.
% 149.56/150.55  % prop_unsat_core_time:                 0.
% 149.56/150.55  
% 149.56/150.55  % ------ QBF 
% 149.56/150.55  
% 149.56/150.55  % qbf_q_res:                            0
% 149.56/150.55  % qbf_num_tautologies:                  0
% 149.56/150.55  % qbf_prep_cycles:                      0
% 149.56/150.55  
% 149.56/150.55  % ------ BMC1
% 149.56/150.55  
% 149.56/150.55  % bmc1_current_bound:                   -1
% 149.56/150.55  % bmc1_last_solved_bound:               -1
% 149.56/150.55  % bmc1_unsat_core_size:                 -1
% 149.56/150.55  % bmc1_unsat_core_parents_size:         -1
% 149.56/150.55  % bmc1_merge_next_fun:                  0
% 149.56/150.55  % bmc1_unsat_core_clauses_time:         0.
% 149.56/150.55  
% 149.56/150.55  % ------ Instantiation
% 149.56/150.55  
% 149.56/150.55  % inst_num_of_clauses:                  1407
% 149.56/150.55  % inst_num_in_passive:                  0
% 149.56/150.55  % inst_num_in_active:                   0
% 149.56/150.55  % inst_num_in_unprocessed:              1546
% 149.56/150.55  % inst_num_of_loops:                    0
% 149.56/150.55  % inst_num_of_learning_restarts:        0
% 149.56/150.55  % inst_num_moves_active_passive:        0
% 149.56/150.55  % inst_lit_activity:                    0
% 149.56/150.55  % inst_lit_activity_moves:              0
% 149.56/150.55  % inst_num_tautologies:                 0
% 149.56/150.55  % inst_num_prop_implied:                0
% 149.56/150.55  % inst_num_existing_simplified:         0
% 149.56/150.55  % inst_num_eq_res_simplified:           0
% 149.56/150.55  % inst_num_child_elim:                  0
% 149.56/150.55  % inst_num_of_dismatching_blockings:    0
% 149.56/150.55  % inst_num_of_non_proper_insts:         0
% 149.56/150.55  % inst_num_of_duplicates:               0
% 149.56/150.55  % inst_inst_num_from_inst_to_res:       0
% 149.56/150.55  % inst_dismatching_checking_time:       0.
% 149.56/150.55  
% 149.56/150.55  % ------ Resolution
% 149.56/150.55  
% 149.56/150.55  % res_num_of_clauses:                   10471
% 149.56/150.55  % res_num_in_passive:                   8038
% 149.56/150.55  % res_num_in_active:                    1470
% 149.56/150.55  % res_num_of_loops:                     951
% 149.56/150.55  % res_forward_subset_subsumed:          831
% 149.56/150.55  % res_backward_subset_subsumed:         16
% 149.56/150.55  % res_forward_subsumed:                 61
% 149.56/150.55  % res_backward_subsumed:                0
% 149.56/150.55  % res_forward_subsumption_resolution:   0
% 149.56/150.55  % res_backward_subsumption_resolution:  0
% 149.56/150.55  % res_clause_to_clause_subsumption:     47492
% 149.56/150.55  % res_orphan_elimination:               0
% 149.56/150.55  % res_tautology_del:                    0
% 149.56/150.55  % res_num_eq_res_simplified:            0
% 149.56/150.55  % res_num_sel_changes:                  0
% 149.56/150.55  % res_moves_from_active_to_pass:        0
% 149.56/150.55  
% 149.56/150.55  % Status Unknown
% 149.76/150.70  % Orienting using strategy ClausalAll
% 149.76/150.70  % Orientation found
% 149.76/150.70  % 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_753698.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_37ae9e | grep -v "SZS"
% 149.80/150.72  
% 149.80/150.72  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 149.80/150.72  
% 149.80/150.72  % 
% 149.80/150.72  % ------  iProver source info 
% 149.80/150.72  
% 149.80/150.72  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 149.80/150.72  % git: non_committed_changes: true
% 149.80/150.72  % git: last_make_outside_of_git: true
% 149.80/150.72  
% 149.80/150.72  % 
% 149.80/150.72  % ------ Input Options
% 149.80/150.72  
% 149.80/150.72  % --out_options                         all
% 149.80/150.72  % --tptp_safe_out                       true
% 149.80/150.72  % --problem_path                        ""
% 149.80/150.72  % --include_path                        ""
% 149.80/150.72  % --clausifier                          .//eprover
% 149.80/150.72  % --clausifier_options                  --tstp-format  
% 149.80/150.72  % --stdin                               false
% 149.80/150.72  % --dbg_backtrace                       false
% 149.80/150.72  % --dbg_dump_prop_clauses               false
% 149.80/150.72  % --dbg_dump_prop_clauses_file          -
% 149.80/150.72  % --dbg_out_stat                        false
% 149.80/150.72  
% 149.80/150.72  % ------ General Options
% 149.80/150.72  
% 149.80/150.72  % --fof                                 false
% 149.80/150.72  % --time_out_real                       150.
% 149.80/150.72  % --time_out_prep_mult                  0.2
% 149.80/150.72  % --time_out_virtual                    -1.
% 149.80/150.72  % --schedule                            none
% 149.80/150.72  % --ground_splitting                    input
% 149.80/150.72  % --splitting_nvd                       16
% 149.80/150.72  % --non_eq_to_eq                        false
% 149.80/150.72  % --prep_gs_sim                         true
% 149.80/150.72  % --prep_unflatten                      false
% 149.80/150.72  % --prep_res_sim                        true
% 149.80/150.72  % --prep_upred                          true
% 149.80/150.72  % --res_sim_input                       true
% 149.80/150.72  % --clause_weak_htbl                    true
% 149.80/150.72  % --gc_record_bc_elim                   false
% 149.80/150.72  % --symbol_type_check                   false
% 149.80/150.72  % --clausify_out                        false
% 149.80/150.72  % --large_theory_mode                   false
% 149.80/150.72  % --prep_sem_filter                     none
% 149.80/150.72  % --prep_sem_filter_out                 false
% 149.80/150.72  % --preprocessed_out                    false
% 149.80/150.72  % --sub_typing                          false
% 149.80/150.72  % --brand_transform                     false
% 149.80/150.72  % --pure_diseq_elim                     true
% 149.80/150.72  % --min_unsat_core                      false
% 149.80/150.72  % --pred_elim                           true
% 149.80/150.72  % --add_important_lit                   false
% 149.80/150.72  % --soft_assumptions                    false
% 149.80/150.72  % --reset_solvers                       false
% 149.80/150.72  % --bc_imp_inh                          []
% 149.80/150.72  % --conj_cone_tolerance                 1.5
% 149.80/150.72  % --prolific_symb_bound                 500
% 149.80/150.72  % --lt_threshold                        2000
% 149.80/150.72  
% 149.80/150.72  % ------ SAT Options
% 149.80/150.72  
% 149.80/150.72  % --sat_mode                            false
% 149.80/150.72  % --sat_fm_restart_options              ""
% 149.80/150.72  % --sat_gr_def                          false
% 149.80/150.72  % --sat_epr_types                       true
% 149.80/150.72  % --sat_non_cyclic_types                false
% 149.80/150.72  % --sat_finite_models                   false
% 149.80/150.72  % --sat_fm_lemmas                       false
% 149.80/150.72  % --sat_fm_prep                         false
% 149.80/150.72  % --sat_fm_uc_incr                      true
% 149.80/150.72  % --sat_out_model                       small
% 149.80/150.72  % --sat_out_clauses                     false
% 149.80/150.72  
% 149.80/150.72  % ------ QBF Options
% 149.80/150.72  
% 149.80/150.72  % --qbf_mode                            false
% 149.80/150.72  % --qbf_elim_univ                       true
% 149.80/150.72  % --qbf_sk_in                           true
% 149.80/150.72  % --qbf_pred_elim                       true
% 149.80/150.72  % --qbf_split                           32
% 149.80/150.72  
% 149.80/150.72  % ------ BMC1 Options
% 149.80/150.72  
% 149.80/150.72  % --bmc1_incremental                    false
% 149.80/150.72  % --bmc1_axioms                         reachable_all
% 149.80/150.72  % --bmc1_min_bound                      0
% 149.80/150.72  % --bmc1_max_bound                      -1
% 149.80/150.72  % --bmc1_max_bound_default              -1
% 149.80/150.72  % --bmc1_symbol_reachability            true
% 149.80/150.72  % --bmc1_property_lemmas                false
% 149.80/150.72  % --bmc1_k_induction                    false
% 149.80/150.72  % --bmc1_non_equiv_states               false
% 149.80/150.72  % --bmc1_deadlock                       false
% 149.80/150.72  % --bmc1_ucm                            false
% 149.80/150.72  % --bmc1_add_unsat_core                 none
% 149.80/150.72  % --bmc1_unsat_core_children            false
% 149.80/150.72  % --bmc1_unsat_core_extrapolate_axioms  false
% 149.80/150.72  % --bmc1_out_stat                       full
% 149.80/150.72  % --bmc1_ground_init                    false
% 149.80/150.72  % --bmc1_pre_inst_next_state            false
% 149.80/150.72  % --bmc1_pre_inst_state                 false
% 149.80/150.72  % --bmc1_pre_inst_reach_state           false
% 149.80/150.72  % --bmc1_out_unsat_core                 false
% 149.80/150.72  % --bmc1_aig_witness_out                false
% 149.80/150.72  % --bmc1_verbose                        false
% 149.80/150.72  % --bmc1_dump_clauses_tptp              false
% 152.92/153.96  % --bmc1_dump_unsat_core_tptp           false
% 152.92/153.96  % --bmc1_dump_file                      -
% 152.92/153.96  % --bmc1_ucm_expand_uc_limit            128
% 152.92/153.96  % --bmc1_ucm_n_expand_iterations        6
% 152.92/153.96  % --bmc1_ucm_extend_mode                1
% 152.92/153.96  % --bmc1_ucm_init_mode                  2
% 152.92/153.96  % --bmc1_ucm_cone_mode                  none
% 152.92/153.96  % --bmc1_ucm_reduced_relation_type      0
% 152.92/153.96  % --bmc1_ucm_relax_model                4
% 152.92/153.96  % --bmc1_ucm_full_tr_after_sat          true
% 152.92/153.96  % --bmc1_ucm_expand_neg_assumptions     false
% 152.92/153.96  % --bmc1_ucm_layered_model              none
% 152.92/153.96  % --bmc1_ucm_max_lemma_size             10
% 152.92/153.96  
% 152.92/153.96  % ------ AIG Options
% 152.92/153.96  
% 152.92/153.96  % --aig_mode                            false
% 152.92/153.96  
% 152.92/153.96  % ------ Instantiation Options
% 152.92/153.96  
% 152.92/153.96  % --instantiation_flag                  true
% 152.92/153.96  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 152.92/153.96  % --inst_solver_per_active              750
% 152.92/153.96  % --inst_solver_calls_frac              0.5
% 152.92/153.96  % --inst_passive_queue_type             priority_queues
% 152.92/153.96  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.92/153.96  % --inst_passive_queues_freq            [25;2]
% 152.92/153.96  % --inst_dismatching                    true
% 152.92/153.96  % --inst_eager_unprocessed_to_passive   true
% 152.92/153.96  % --inst_prop_sim_given                 true
% 152.92/153.96  % --inst_prop_sim_new                   false
% 152.92/153.96  % --inst_orphan_elimination             true
% 152.92/153.96  % --inst_learning_loop_flag             true
% 152.92/153.96  % --inst_learning_start                 3000
% 152.92/153.96  % --inst_learning_factor                2
% 152.92/153.96  % --inst_start_prop_sim_after_learn     3
% 152.92/153.96  % --inst_sel_renew                      solver
% 152.92/153.96  % --inst_lit_activity_flag              true
% 152.92/153.96  % --inst_out_proof                      true
% 152.92/153.96  
% 152.92/153.96  % ------ Resolution Options
% 152.92/153.96  
% 152.92/153.96  % --resolution_flag                     true
% 152.92/153.96  % --res_lit_sel                         kbo_max
% 152.92/153.96  % --res_to_prop_solver                  none
% 152.92/153.96  % --res_prop_simpl_new                  false
% 152.92/153.96  % --res_prop_simpl_given                false
% 152.92/153.96  % --res_passive_queue_type              priority_queues
% 152.92/153.96  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.92/153.96  % --res_passive_queues_freq             [15;5]
% 152.92/153.96  % --res_forward_subs                    full
% 152.92/153.96  % --res_backward_subs                   full
% 152.92/153.96  % --res_forward_subs_resolution         true
% 152.92/153.96  % --res_backward_subs_resolution        true
% 152.92/153.96  % --res_orphan_elimination              false
% 152.92/153.96  % --res_time_limit                      1000.
% 152.92/153.96  % --res_out_proof                       true
% 152.92/153.96  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_753698.s
% 152.92/153.96  % --modulo                              true
% 152.92/153.96  
% 152.92/153.96  % ------ Combination Options
% 152.92/153.96  
% 152.92/153.96  % --comb_res_mult                       1000
% 152.92/153.96  % --comb_inst_mult                      300
% 152.92/153.96  % ------ 
% 152.92/153.96  
% 152.92/153.96  % ------ Parsing...% successful
% 152.92/153.96  
% 152.92/153.96  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 152.92/153.96  
% 152.92/153.96  % ------ Proving...
% 152.92/153.96  % ------ Problem Properties 
% 152.92/153.96  
% 152.92/153.96  % 
% 152.92/153.96  % EPR                                   false
% 152.92/153.96  % Horn                                  false
% 152.92/153.96  % Has equality                          true
% 152.92/153.96  
% 152.92/153.96  % % ------ Input Options Time Limit: Unbounded
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  Compiling...
% 152.92/153.96  Loading plugin: done.
% 152.92/153.96  % % ------ Current options:
% 152.92/153.96  
% 152.92/153.96  % ------ Input Options
% 152.92/153.96  
% 152.92/153.96  % --out_options                         all
% 152.92/153.96  % --tptp_safe_out                       true
% 152.92/153.96  % --problem_path                        ""
% 152.92/153.96  % --include_path                        ""
% 152.92/153.96  % --clausifier                          .//eprover
% 152.92/153.96  % --clausifier_options                  --tstp-format  
% 152.92/153.96  % --stdin                               false
% 152.92/153.96  % --dbg_backtrace                       false
% 152.92/153.96  % --dbg_dump_prop_clauses               false
% 152.92/153.96  % --dbg_dump_prop_clauses_file          -
% 152.92/153.96  % --dbg_out_stat                        false
% 152.92/153.96  
% 152.92/153.96  % ------ General Options
% 152.92/153.96  
% 152.92/153.96  % --fof                                 false
% 152.92/153.96  % --time_out_real                       150.
% 152.92/153.96  % --time_out_prep_mult                  0.2
% 152.92/153.96  % --time_out_virtual                    -1.
% 152.92/153.96  % --schedule                            none
% 152.92/153.96  % --ground_splitting                    input
% 152.92/153.96  % --splitting_nvd                       16
% 152.92/153.96  % --non_eq_to_eq                        false
% 152.92/153.96  % --prep_gs_sim                         true
% 152.92/153.96  % --prep_unflatten                      false
% 152.92/153.96  % --prep_res_sim                        true
% 152.92/153.96  % --prep_upred                          true
% 152.92/153.96  % --res_sim_input                       true
% 152.92/153.96  % --clause_weak_htbl                    true
% 152.92/153.96  % --gc_record_bc_elim                   false
% 152.92/153.96  % --symbol_type_check                   false
% 152.92/153.96  % --clausify_out                        false
% 152.92/153.96  % --large_theory_mode                   false
% 152.92/153.96  % --prep_sem_filter                     none
% 152.92/153.96  % --prep_sem_filter_out                 false
% 152.92/153.96  % --preprocessed_out                    false
% 152.92/153.96  % --sub_typing                          false
% 152.92/153.96  % --brand_transform                     false
% 152.92/153.96  % --pure_diseq_elim                     true
% 152.92/153.96  % --min_unsat_core                      false
% 152.92/153.96  % --pred_elim                           true
% 152.92/153.96  % --add_important_lit                   false
% 152.92/153.96  % --soft_assumptions                    false
% 152.92/153.96  % --reset_solvers                       false
% 152.92/153.96  % --bc_imp_inh                          []
% 152.92/153.96  % --conj_cone_tolerance                 1.5
% 152.92/153.96  % --prolific_symb_bound                 500
% 152.92/153.96  % --lt_threshold                        2000
% 152.92/153.96  
% 152.92/153.96  % ------ SAT Options
% 152.92/153.96  
% 152.92/153.96  % --sat_mode                            false
% 152.92/153.96  % --sat_fm_restart_options              ""
% 152.92/153.96  % --sat_gr_def                          false
% 152.92/153.96  % --sat_epr_types                       true
% 152.92/153.96  % --sat_non_cyclic_types                false
% 152.92/153.96  % --sat_finite_models                   false
% 152.92/153.96  % --sat_fm_lemmas                       false
% 152.92/153.96  % --sat_fm_prep                         false
% 152.92/153.96  % --sat_fm_uc_incr                      true
% 152.92/153.96  % --sat_out_model                       small
% 152.92/153.96  % --sat_out_clauses                     false
% 152.92/153.96  
% 152.92/153.96  % ------ QBF Options
% 152.92/153.96  
% 152.92/153.96  % --qbf_mode                            false
% 152.92/153.96  % --qbf_elim_univ                       true
% 152.92/153.96  % --qbf_sk_in                           true
% 152.92/153.96  % --qbf_pred_elim                       true
% 152.92/153.96  % --qbf_split                           32
% 152.92/153.96  
% 152.92/153.96  % ------ BMC1 Options
% 152.92/153.96  
% 152.92/153.96  % --bmc1_incremental                    false
% 152.92/153.96  % --bmc1_axioms                         reachable_all
% 152.92/153.96  % --bmc1_min_bound                      0
% 152.92/153.96  % --bmc1_max_bound                      -1
% 152.92/153.96  % --bmc1_max_bound_default              -1
% 152.92/153.96  % --bmc1_symbol_reachability            true
% 152.92/153.96  % --bmc1_property_lemmas                false
% 152.92/153.96  % --bmc1_k_induction                    false
% 152.92/153.96  % --bmc1_non_equiv_states               false
% 152.92/153.96  % --bmc1_deadlock                       false
% 152.92/153.96  % --bmc1_ucm                            false
% 152.92/153.96  % --bmc1_add_unsat_core                 none
% 152.92/153.96  % --bmc1_unsat_core_children            false
% 152.92/153.96  % --bmc1_unsat_core_extrapolate_axioms  false
% 152.92/153.96  % --bmc1_out_stat                       full
% 152.92/153.96  % --bmc1_ground_init                    false
% 152.92/153.96  % --bmc1_pre_inst_next_state            false
% 152.92/153.96  % --bmc1_pre_inst_state                 false
% 152.92/153.96  % --bmc1_pre_inst_reach_state           false
% 152.92/153.96  % --bmc1_out_unsat_core                 false
% 152.92/153.96  % --bmc1_aig_witness_out                false
% 152.92/153.96  % --bmc1_verbose                        false
% 152.92/153.96  % --bmc1_dump_clauses_tptp              false
% 152.92/153.96  % --bmc1_dump_unsat_core_tptp           false
% 152.92/153.96  % --bmc1_dump_file                      -
% 152.92/153.96  % --bmc1_ucm_expand_uc_limit            128
% 152.92/153.96  % --bmc1_ucm_n_expand_iterations        6
% 152.92/153.96  % --bmc1_ucm_extend_mode                1
% 152.92/153.96  % --bmc1_ucm_init_mode                  2
% 152.92/153.96  % --bmc1_ucm_cone_mode                  none
% 152.92/153.96  % --bmc1_ucm_reduced_relation_type      0
% 152.92/153.96  % --bmc1_ucm_relax_model                4
% 152.92/153.96  % --bmc1_ucm_full_tr_after_sat          true
% 152.92/153.96  % --bmc1_ucm_expand_neg_assumptions     false
% 152.92/153.96  % --bmc1_ucm_layered_model              none
% 152.92/153.96  % --bmc1_ucm_max_lemma_size             10
% 152.92/153.96  
% 152.92/153.96  % ------ AIG Options
% 152.92/153.96  
% 152.92/153.96  % --aig_mode                            false
% 152.92/153.96  
% 152.92/153.96  % ------ Instantiation Options
% 152.92/153.96  
% 152.92/153.96  % --instantiation_flag                  true
% 152.92/153.96  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 152.92/153.96  % --inst_solver_per_active              750
% 152.92/153.96  % --inst_solver_calls_frac              0.5
% 152.92/153.96  % --inst_passive_queue_type             priority_queues
% 152.92/153.96  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.92/153.96  % --inst_passive_queues_freq            [25;2]
% 152.92/153.96  % --inst_dismatching                    true
% 152.92/153.96  % --inst_eager_unprocessed_to_passive   true
% 152.92/153.96  % --inst_prop_sim_given                 true
% 152.92/153.96  % --inst_prop_sim_new                   false
% 152.92/153.96  % --inst_orphan_elimination             true
% 152.92/153.96  % --inst_learning_loop_flag             true
% 152.92/153.96  % --inst_learning_start                 3000
% 152.92/153.96  % --inst_learning_factor                2
% 152.92/153.96  % --inst_start_prop_sim_after_learn     3
% 152.92/153.96  % --inst_sel_renew                      solver
% 152.92/153.96  % --inst_lit_activity_flag              true
% 152.92/153.96  % --inst_out_proof                      true
% 152.92/153.96  
% 152.92/153.96  % ------ Resolution Options
% 152.92/153.96  
% 152.92/153.96  % --resolution_flag                     true
% 152.92/153.96  % --res_lit_sel                         kbo_max
% 152.92/153.96  % --res_to_prop_solver                  none
% 152.92/153.96  % --res_prop_simpl_new                  false
% 152.92/153.96  % --res_prop_simpl_given                false
% 152.92/153.96  % --res_passive_queue_type              priority_queues
% 152.92/153.96  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.92/153.96  % --res_passive_queues_freq             [15;5]
% 152.92/153.96  % --res_forward_subs                    full
% 152.92/153.96  % --res_backward_subs                   full
% 152.92/153.96  % --res_forward_subs_resolution         true
% 152.92/153.96  % --res_backward_subs_resolution        true
% 152.92/153.96  % --res_orphan_elimination              false
% 152.92/153.96  % --res_time_limit                      1000.
% 152.92/153.96  % --res_out_proof                       true
% 152.92/153.96  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_753698.s
% 152.92/153.96  % --modulo                              true
% 152.92/153.96  
% 152.92/153.96  % ------ Combination Options
% 152.92/153.96  
% 152.92/153.96  % --comb_res_mult                       1000
% 152.92/153.96  % --comb_inst_mult                      300
% 152.92/153.96  % ------ 
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  % ------ Proving...
% 152.92/153.96  % warning:  shown sat in sat incomplete mode 
% 152.92/153.96  % 
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  
% 152.92/153.96  cnf(c_1534,plain,
% 152.92/153.96      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2893_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6546,plain,
% 152.92/153.96      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1534]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6547,plain,
% 152.92/153.96      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.96      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6546]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1524,plain,
% 152.92/153.96      ( X0 = X1
% 152.92/153.96      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.92/153.96      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2898_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6526,plain,
% 152.92/153.96      ( X0 = X1
% 152.92/153.96      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.92/153.96      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1524]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6527,plain,
% 152.92/153.96      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.92/153.96      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.92/153.96      | X3 = X4 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6526]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1470,plain,
% 152.92/153.96      ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 152.92/153.96      | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2927_1) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6418,plain,
% 152.92/153.96      ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 152.92/153.96      | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1470]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6419,plain,
% 152.92/153.96      ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 152.92/153.96      | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6418]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1451,plain,
% 152.92/153.96      ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.92/153.96      | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2936_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6380,plain,
% 152.92/153.96      ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.92/153.96      | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1451]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6381,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.92/153.96      | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6380]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1442,plain,
% 152.92/153.96      ( X0 = X1
% 152.92/153.96      | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2939_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6362,plain,
% 152.92/153.96      ( X0 = X1
% 152.92/153.96      | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1442]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6363,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.92/153.96      | X1 = X2 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6362]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1424,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2957_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6326,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1424]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6327,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.92/153.96      | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6326]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1412,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.96      | hBOOL(hAPP(X0,c_List_Onth(X2,X1,X3)))
% 152.92/153.96      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2963_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6302,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.96      | hBOOL(hAPP(X0,c_List_Onth(X2,X1,X3)))
% 152.92/153.96      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1412]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6303,plain,
% 152.92/153.96      ( hBOOL(hAPP(X0,c_List_Onth(X1,X2,X3)))
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat)
% 152.92/153.96      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6302]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1409,plain,
% 152.92/153.96      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.96      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2964_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6296,plain,
% 152.92/153.96      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.96      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1409]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6297,plain,
% 152.92/153.96      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6296]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1406,plain,
% 152.92/153.96      ( hAPP(X0,X1) = hAPP(X2,X1)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X3,X4),X4)
% 152.92/153.96      | c_List_Omap(X0,X3,X4,X5) != c_List_Omap(X2,X3,X4,X5) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2965_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6290,plain,
% 152.92/153.96      ( hAPP(X0,X1) = hAPP(X2,X1)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X3,X4),X4)
% 152.92/153.96      | c_List_Omap(X0,X3,X4,X5) != c_List_Omap(X2,X3,X4,X5) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1406]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6291,plain,
% 152.92/153.96      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.96      | hAPP(X3,X0) = hAPP(X4,X0)
% 152.92/153.96      | c_List_Omap(X3,X1,X2,X5) != c_List_Omap(X4,X1,X2,X5) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6290]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1403,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),X1,tc_nat)
% 152.92/153.96      | hBOOL(hAPP(X0,c_List_Onth(X2,X1,X3)))
% 152.92/153.96      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2973_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6284,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),X1,tc_nat)
% 152.92/153.96      | hBOOL(hAPP(X0,c_List_Onth(X2,X1,X3)))
% 152.92/153.96      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1403]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6285,plain,
% 152.92/153.96      ( hBOOL(hAPP(X0,c_List_Onth(X1,X2,X3)))
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),X2,tc_nat)
% 152.92/153.96      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6284]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1396,plain,
% 152.92/153.96      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.96      | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2976_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6270,plain,
% 152.92/153.96      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.96      | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1396]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6271,plain,
% 152.92/153.96      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 152.92/153.96      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6270]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1383,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | X2 = X1
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2983_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6244,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | X2 = X1
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1383]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6245,plain,
% 152.92/153.96      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.96      | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.92/153.96      | X2 = X1 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6244]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1344,plain,
% 152.92/153.96      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3006_1) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6166,plain,
% 152.92/153.96      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1344]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6167,plain,
% 152.92/153.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6166]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1342,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3006_3) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6162,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1342]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6163,plain,
% 152.92/153.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6162]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1332,plain,
% 152.92/153.96      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3)
% 152.92/153.96      | ~ c_lessequals(X0,X1,X3)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3010_3) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6142,plain,
% 152.92/153.96      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3)
% 152.92/153.96      | ~ c_lessequals(X0,X1,X3)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1332]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6143,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.96      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X0),X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6142]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1325,plain,
% 152.92/153.96      ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 152.92/153.96      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3012_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6128,plain,
% 152.92/153.96      ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 152.92/153.96      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1325]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6129,plain,
% 152.92/153.96      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.96      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 152.92/153.96      | X3 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X4,X1) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6128]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1318,plain,
% 152.92/153.96      ( c_List_Onth(X0,X1,X2) = X3
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | c_List_Olist__update(X0,X1,X3,X2) != X0 ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3015_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6114,plain,
% 152.92/153.96      ( c_List_Onth(X0,X1,X2) = X3
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | c_List_Olist__update(X0,X1,X3,X2) != X0 ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1318]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6115,plain,
% 152.92/153.96      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | c_List_Onth(X1,X0,X2) = X3
% 152.92/153.96      | c_List_Olist__update(X1,X0,X3,X2) != X1 ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6114]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1303,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3019_3) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6084,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1303]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6085,plain,
% 152.92/153.96      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.96      | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6084]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1290,plain,
% 152.92/153.96      ( c_lessequals(c_List_Onth(X0,X1,X2),c_List_Onth(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Orev(X0,X2),X2)
% 152.92/153.96      | ~ c_lessequals(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3022_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6058,plain,
% 152.92/153.96      ( c_lessequals(c_List_Onth(X0,X1,X2),c_List_Onth(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Orev(X0,X2),X2)
% 152.92/153.96      | ~ c_lessequals(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1290]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6059,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | c_lessequals(c_List_Onth(X1,X2,X0),c_List_Onth(X1,X3,X0),X0)
% 152.92/153.96      | ~ c_lessequals(X3,X2,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X0)),tc_nat)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Orev(X1,X0),X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6058]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1285,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3023_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6048,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1285]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6049,plain,
% 152.92/153.96      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6048]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1280,plain,
% 152.92/153.96      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_lessequals(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3024_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6038,plain,
% 152.92/153.96      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_lessequals(X3,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1280]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6039,plain,
% 152.92/153.96      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.96      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.96      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 152.92/153.96      | ~ c_lessequals(X3,X2,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6038]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1271,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3027_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6020,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/153.96      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1271]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_6021,plain,
% 152.92/153.96      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.96      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_6020]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1245,plain,
% 152.92/153.96      ( c_lessequals(c_List_Onth(X0,X1,X2),c_List_Onth(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3040_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5968,plain,
% 152.92/153.96      ( c_lessequals(c_List_Onth(X0,X1,X2),c_List_Onth(X0,X3,X2),X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(X0,X2)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1245]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5969,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | c_lessequals(c_List_Onth(X1,X2,X0),c_List_Onth(X1,X3,X0),X0)
% 152.92/153.96      | ~ c_lessequals(X2,X3,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X0)),tc_nat)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(X1,X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_5968]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1237,plain,
% 152.92/153.96      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X0,tc_nat) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3043_1) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5952,plain,
% 152.92/153.96      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X2,X0,tc_nat) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1237]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5953,plain,
% 152.92/153.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_5952]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1235,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3043_3) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5948,plain,
% 152.92/153.96      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1235]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5949,plain,
% 152.92/153.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.96      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.96      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 152.92/153.96      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_5948]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1232,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X2,X0),X0)
% 152.92/153.96      | c_lessequals(X3,X1,X0)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X4,X2,X0),X0)
% 152.92/153.96      | ~ c_in(X3,c_List_Oset(X4,X0),X0) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3044_2) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5942,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X2,X0),X0)
% 152.92/153.96      | c_lessequals(X3,X1,X0)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X4,X2,X0),X0)
% 152.92/153.96      | ~ c_in(X3,c_List_Oset(X4,X0),X0) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1232]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5943,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | c_lessequals(X1,X2,X0)
% 152.92/153.96      | ~ c_in(X2,c_List_Oset(X3,X0),X0)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X4,X0),X0)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X4,X3,X0),X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_5942]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1230,plain,
% 152.92/153.96      ( c_lessequals(X0,X1,X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X4,X2),X2)
% 152.92/153.96      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X4,X2),X2)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3044_4) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5938,plain,
% 152.92/153.96      ( c_lessequals(X0,X1,X2)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X4,X2),X2)
% 152.92/153.96      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X4,X2),X2)
% 152.92/153.96      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1230]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5939,plain,
% 152.92/153.96      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.96      | c_lessequals(X1,X2,X0)
% 152.92/153.96      | ~ c_in(X1,c_List_Oset(X3,X0),X0)
% 152.92/153.96      | ~ c_in(X2,c_List_Oset(X4,X0),X0)
% 152.92/153.96      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X4,X0),X0) ),
% 152.92/153.96      inference(rewriting,[status(thm)],[c_5938]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_1227,plain,
% 152.92/153.96      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.96      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.96      | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.92/153.96      | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.92/153.96      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3046_0) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5932,plain,
% 152.92/153.96      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.96      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.96      | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.92/153.96      | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.92/153.96      inference(copy,[status(esa)],[c_1227]) ).
% 152.92/153.96  
% 152.92/153.96  cnf(c_5933,plain,
% 152.92/153.96      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.96      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.92/153.96      | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.92/153.97      | ~ c_lessequals(X3,X4,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5932]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1214,plain,
% 152.92/153.97      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X2,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3050_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5906,plain,
% 152.92/153.97      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X2,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1214]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5907,plain,
% 152.92/153.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5906]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1195,plain,
% 152.92/153.97      ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 152.92/153.97      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3057_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5868,plain,
% 152.92/153.97      ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 152.92/153.97      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1195]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5869,plain,
% 152.92/153.97      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 152.92/153.97      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5868]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1191,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.92/153.97      | X1 = X3
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3060_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5860,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.92/153.97      | X1 = X3
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1191]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5861,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 152.92/153.97      | X2 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5860]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1187,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3060_5) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5852,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1187]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5853,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 152.92/153.97      | X1 = X2 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5852]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1167,plain,
% 152.92/153.97      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3066_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5812,plain,
% 152.92/153.97      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1167]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5813,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.97      | ~ c_lessequals(X2,X3,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5812]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1161,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3069_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5800,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1161]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5801,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5800]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1155,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.97      | ~ c_lessequals(X1,X3,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3070_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5788,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.97      | ~ c_lessequals(X1,X3,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1155]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5789,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5788]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1149,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.92/153.97      | ~ c_lessequals(X3,X4,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3072_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5776,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.92/153.97      | ~ c_lessequals(X3,X4,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1149]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5777,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.97      | ~ c_lessequals(X2,X4,X0)
% 152.92/153.97      | ~ c_lessequals(X1,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5776]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1142,plain,
% 152.92/153.97      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3076_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5762,plain,
% 152.92/153.97      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1142]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5763,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5762]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1116,plain,
% 152.92/153.97      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3092_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5710,plain,
% 152.92/153.97      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1116]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5711,plain,
% 152.92/153.97      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.97      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 152.92/153.97      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5710]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1112,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.92/153.97      | X1 = X3
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3094_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5702,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.92/153.97      | X1 = X3
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1112]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5703,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 152.92/153.97      | X2 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5702]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1109,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3094_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5696,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1109]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5697,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 152.92/153.97      | X1 = X2 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5696]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1100,plain,
% 152.92/153.97      ( c_lessequals(X0,X1,X2)
% 152.92/153.97      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X3,X2),X2)
% 152.92/153.97      | ~ c_in(X1,c_List_Oset(X3,X2),X2)
% 152.92/153.97      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3099_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5678,plain,
% 152.92/153.97      ( c_lessequals(X0,X1,X2)
% 152.92/153.97      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X3,X2),X2)
% 152.92/153.97      | ~ c_in(X1,c_List_Oset(X3,X2),X2)
% 152.92/153.97      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1100]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5679,plain,
% 152.92/153.97      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.97      | c_lessequals(X1,X2,X0)
% 152.92/153.97      | ~ c_in(X2,c_List_Oset(X3,X0),X0)
% 152.92/153.97      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X3,X0),X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5678]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1096,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3100_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5670,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1096]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5671,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5670]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1093,plain,
% 152.92/153.97      ( hBOOL(hAPP(X0,X1))
% 152.92/153.97      | c_List_OtakeWhile(X0,c_List_Oappend(X2,X3,X4),X4) = c_List_OtakeWhile(X0,X2,X4)
% 152.92/153.97      | ~ c_in(X1,c_List_Oset(X2,X4),X4) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3102_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5664,plain,
% 152.92/153.97      ( hBOOL(hAPP(X0,X1))
% 152.92/153.97      | c_List_OtakeWhile(X0,c_List_Oappend(X2,X3,X4),X4) = c_List_OtakeWhile(X0,X2,X4)
% 152.92/153.97      | ~ c_in(X1,c_List_Oset(X2,X4),X4) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1093]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5665,plain,
% 152.92/153.97      ( hBOOL(hAPP(X0,X1))
% 152.92/153.97      | ~ c_in(X1,c_List_Oset(X2,X3),X3)
% 152.92/153.97      | c_List_OtakeWhile(X0,c_List_Oappend(X2,X4,X3),X3) = c_List_OtakeWhile(X0,X2,X3) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5664]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1089,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3104_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5656,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1089]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5657,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5656]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1085,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3105_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5648,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1085]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5649,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5648]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1075,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3107_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5628,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1075]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5629,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5628]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1071,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3108_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5620,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1071]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5621,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5620]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1065,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3110_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5608,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1065]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5609,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.97      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5608]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1061,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3111_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5600,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1061]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5601,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5600]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1048,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3118_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5574,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1048]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5575,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5574]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1038,plain,
% 152.92/153.97      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.92/153.97      | ~ c_lessequals(X0,X2,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3120_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5554,plain,
% 152.92/153.97      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.92/153.97      | ~ c_lessequals(X0,X2,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1038]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5555,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 152.92/153.97      | ~ c_lessequals(X2,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5554]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1033,plain,
% 152.92/153.97      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_lessequals(X0,X3,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3121_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5544,plain,
% 152.92/153.97      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_lessequals(X0,X3,X1)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1033]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5545,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.97      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/153.97      | ~ c_lessequals(X2,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5544]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1001,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3131_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5480,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_1001]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5481,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5480]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_995,plain,
% 152.92/153.97      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.97      | X0 = X2
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3135_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5468,plain,
% 152.92/153.97      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.97      | X0 = X2
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_995]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5469,plain,
% 152.92/153.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 152.92/153.97      | X2 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5468]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_993,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3135_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5464,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_993]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5465,plain,
% 152.92/153.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.97      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 152.92/153.97      | X1 = X2 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5464]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_990,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3136_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5458,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_990]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5459,plain,
% 152.92/153.97      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5458]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_988,plain,
% 152.92/153.97      ( ~ c_List_Olistsp(X0,X1,X2)
% 152.92/153.97      | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.92/153.97      | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3137_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5454,plain,
% 152.92/153.97      ( ~ c_List_Olistsp(X0,X1,X2)
% 152.92/153.97      | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.92/153.97      | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_988]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5455,plain,
% 152.92/153.97      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.92/153.97      | ~ c_List_Olistsp(X0,X2,X3)
% 152.92/153.97      | ~ c_List_Olistsp(X0,X1,X3) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5454]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_956,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3160_0) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5390,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_956]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5391,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5390]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_952,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3161_0) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5382,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_952]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5383,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5382]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_948,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_lessequals(X4,X3,X0)
% 152.92/153.97      | c_lessequals(X2,X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3162_0) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5374,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_lessequals(X4,X3,X0)
% 152.92/153.97      | c_lessequals(X2,X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_948]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5375,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_lessequals(X3,X4,X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5374]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_944,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_lessequals(X2,X1,X0)
% 152.92/153.97      | c_lessequals(X4,X3,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3163_0) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5366,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.92/153.97      | ~ c_lessequals(X2,X1,X0)
% 152.92/153.97      | c_lessequals(X4,X3,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_944]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5367,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_lessequals(X3,X4,X0)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5366]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_920,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3176_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5318,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_920]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5319,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5318]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_917,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3176_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5312,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_917]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5313,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5312]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_915,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3177_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5308,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_915]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5309,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5308]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_912,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3177_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5302,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_912]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5303,plain,
% 152.92/153.97      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.97      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.97      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5302]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_895,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.97      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3183_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5268,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.97      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_895]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5269,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 152.92/153.97      | X2 = X3 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5268]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_814,plain,
% 152.92/153.97      ( ~ class_Orderings_Oorder(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.97      | ~ c_lessequals(X2,X3,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3219_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5106,plain,
% 152.92/153.97      ( ~ class_Orderings_Oorder(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.97      | ~ c_lessequals(X2,X3,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_814]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5107,plain,
% 152.92/153.97      ( ~ class_Orderings_Oorder(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5106]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_812,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | ~ c_lessequals(X3,X1,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.92/153.97      | ~ class_Orderings_Oorder(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3219_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5102,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | ~ c_lessequals(X3,X1,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.92/153.97      | ~ class_Orderings_Oorder(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_812]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5103,plain,
% 152.92/153.97      ( ~ class_Orderings_Oorder(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5102]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_806,plain,
% 152.92/153.97      ( ~ class_Orderings_Opreorder(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.92/153.97      | ~ c_lessequals(X3,X1,X0) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3221_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5090,plain,
% 152.92/153.97      ( ~ class_Orderings_Opreorder(X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.92/153.97      | ~ c_lessequals(X3,X1,X0) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_806]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5091,plain,
% 152.92/153.97      ( ~ class_Orderings_Opreorder(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5090]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_804,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | ~ c_lessequals(X0,X3,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.92/153.97      | ~ class_Orderings_Opreorder(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3221_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5086,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | ~ c_lessequals(X0,X3,X2)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.92/153.97      | ~ class_Orderings_Opreorder(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_804]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5087,plain,
% 152.92/153.97      ( ~ class_Orderings_Opreorder(X0)
% 152.92/153.97      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5086]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_782,plain,
% 152.92/153.97      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3230_1) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5042,plain,
% 152.92/153.97      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_782]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_5043,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_5042]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_745,plain,
% 152.92/153.97      ( c_lessequals(X0,X1,X2)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.92/153.97      | ~ c_lessequals(X1,X0,X2)
% 152.92/153.97      | ~ class_Orderings_Opreorder(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3253_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4968,plain,
% 152.92/153.97      ( c_lessequals(X0,X1,X2)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.92/153.97      | ~ c_lessequals(X1,X0,X2)
% 152.92/153.97      | ~ class_Orderings_Opreorder(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_745]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4969,plain,
% 152.92/153.97      ( ~ class_Orderings_Opreorder(X0)
% 152.92/153.97      | c_lessequals(X1,X2,X0)
% 152.92/153.97      | ~ c_lessequals(X2,X1,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4968]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_724,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.92/153.97      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3267_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4926,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.92/153.97      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_724]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4927,plain,
% 152.92/153.97      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.97      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.92/153.97      | X2 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4926]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_670,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3284_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4818,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_670]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4819,plain,
% 152.92/153.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 152.92/153.97      | X1 = X0 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4818]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_656,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3290_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4790,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_656]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4791,plain,
% 152.92/153.97      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | X0 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4790]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_632,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | X1 = X0
% 152.92/153.97      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3301_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4742,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | X1 = X0
% 152.92/153.97      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_632]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4743,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 152.92/153.97      | X1 = X0 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4742]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_629,plain,
% 152.92/153.97      ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3302_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4736,plain,
% 152.92/153.97      ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_629]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4737,plain,
% 152.92/153.97      ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4736]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_559,plain,
% 152.92/153.97      ( c_Suc(X0) = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3333_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4596,plain,
% 152.92/153.97      ( c_Suc(X0) = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_559]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4597,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.92/153.97      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_Suc(X0) = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4596]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_496,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3366_5) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4470,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_496]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4471,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.92/153.97      | ~ class_Power_Opower(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4470]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_491,plain,
% 152.92/153.97      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3367_4) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4460,plain,
% 152.92/153.97      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_491]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4461,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.92/153.97      | ~ class_Power_Opower(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4460]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_467,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3375_3) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4412,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.92/153.97      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_467]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4413,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.92/153.97      | X1 = X2 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4412]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_416,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3400_2) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4310,plain,
% 152.92/153.97      ( X0 = X1
% 152.92/153.97      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_416]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4311,plain,
% 152.92/153.97      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.92/153.97      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.92/153.97      | X0 = X1 ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4310]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_371,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3416_5) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4220,plain,
% 152.92/153.97      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.92/153.97      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.92/153.97      | ~ class_Power_Opower(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.92/153.97      inference(copy,[status(esa)],[c_371]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_4221,plain,
% 152.92/153.97      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.92/153.97      | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.92/153.97      | ~ class_Power_Opower(X0)
% 152.92/153.97      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.92/153.97      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.92/153.97      inference(rewriting,[status(thm)],[c_4220]) ).
% 152.92/153.97  
% 152.92/153.97  cnf(c_1545,negated_conjecture,
% 152.92/153.97      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_4) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_2052,negated_conjecture,
% 152.92/153.98      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1545]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_2056,negated_conjecture,
% 152.92/153.98      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_2052]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_2057,negated_conjecture,
% 152.92/153.98      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_2056]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_2058,negated_conjecture,
% 152.92/153.98      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_2057]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6568,negated_conjecture,
% 152.92/153.98      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_2058]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1543,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2889_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6564,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1543]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6565,plain,
% 152.92/153.98      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6564]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1541,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2890_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6560,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1541]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6561,plain,
% 152.92/153.98      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.92/153.98      | c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6560]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1539,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2891_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6556,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1539]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1537,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2892_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6552,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1537]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1531,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Osorted(c_List_Omap(X0,X1,X2,X3),X3)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X0,c_List_Olinorder__class_Oinsort__key(X0,X4,X1,X2,X3),X2,X3),X3)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2895_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6540,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Osorted(c_List_Omap(X0,X1,X2,X3),X3)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X0,c_List_Olinorder__class_Oinsort__key(X0,X4,X1,X2,X3),X2,X3),X3)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1531]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6541,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X0),X4,X0),X0)
% 152.92/153.98      | c_List_Olinorder__class_Osorted(c_List_Omap(X1,X3,X4,X0),X0) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6540]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1527,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2897_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6532,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1527]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1525,plain,
% 152.92/153.98      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.92/153.98      | X4 = X3
% 152.92/153.98      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2898_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6528,plain,
% 152.92/153.98      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.92/153.98      | X4 = X3
% 152.92/153.98      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1525]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6529,plain,
% 152.92/153.98      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.92/153.98      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.92/153.98      | X4 = X3 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6528]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1520,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2900_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6518,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1520]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1516,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2902_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6510,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1516]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1514,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)
% 152.92/153.98      | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2903_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6506,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)
% 152.92/153.98      | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1514]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6507,plain,
% 152.92/153.98      ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB)),X1) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6506]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1511,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Osorted(c_List_Omap(X0,c_List_Olinorder__class_Oinsort__key(X0,X1,X2,X3,X4),X3,X4),X4)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X0,X2,X3,X4),X4)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X4) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2905_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6500,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Osorted(c_List_Omap(X0,c_List_Olinorder__class_Oinsort__key(X0,X1,X2,X3,X4),X3,X4),X4)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X0,X2,X3,X4),X4)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X4) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1511]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6501,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X0),X4,X0),X0)
% 152.92/153.98      | ~ c_List_Olinorder__class_Osorted(c_List_Omap(X1,X3,X4,X0),X0) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6500]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1509,plain,
% 152.92/153.98      ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.92/153.98      | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2906_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6496,plain,
% 152.92/153.98      ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.92/153.98      | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1509]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1507,plain,
% 152.92/153.98      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2907_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6492,plain,
% 152.92/153.98      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.92/153.98      | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1507]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1504,plain,
% 152.92/153.98      ( c_lessequals(hAPP(X0,X1),hAPP(X0,X2),X3)
% 152.92/153.98      | c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_OCons(X2,X4,X5),X5,X3) = c_List_Olist_OCons(X2,c_List_Olinorder__class_Oinsort__key(X0,X1,X4,X5,X3),X5)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2909_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6486,plain,
% 152.92/153.98      ( c_lessequals(hAPP(X0,X1),hAPP(X0,X2),X3)
% 152.92/153.98      | c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_OCons(X2,X4,X5),X5,X3) = c_List_Olist_OCons(X2,c_List_Olinorder__class_Oinsort__key(X0,X1,X4,X5,X3),X5)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1504]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6487,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X0)
% 152.92/153.98      | c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X4,X5),X5,X0) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X4,X5,X0),X5) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6486]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1501,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,c_List_Onth(X1,X2,X3)))
% 152.92/153.98      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3)
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),X3))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2910_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6480,plain,
% 152.92/153.98      ( hBOOL(hAPP(X0,c_List_Onth(X1,X2,X3)))
% 152.92/153.98      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3)
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),X3))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1501]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6481,plain,
% 152.92/153.98      ( ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),X3)))
% 152.92/153.98      | hBOOL(hAPP(X0,c_List_Onth(X1,X2,X3)))
% 152.92/153.98      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6480]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1499,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2911_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6476,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1499]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6477,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X1 = X3 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6476]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1497,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2912_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6472,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1497]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6473,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X0 = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6472]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1495,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2913_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6468,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1495]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6469,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X1 = X3 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6468]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1493,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2914_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6464,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1493]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6465,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X0 = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6464]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1491,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 152.92/153.98      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2915_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6460,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 152.92/153.98      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1491]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6461,plain,
% 152.92/153.98      ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.92/153.98      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6460]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1489,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2917_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6456,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1489]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6457,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X0 = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6456]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1487,plain,
% 152.92/153.98      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 152.92/153.98      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2918_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6452,plain,
% 152.92/153.98      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 152.92/153.98      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1487]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6453,plain,
% 152.92/153.98      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.92/153.98      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6452]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1484,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X3,X1,X2) = c_List_Otake(X0,X1,X2)
% 152.92/153.98      | ~ hBOOL(hAPP(X3,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X3,X0,X1,X2),X2))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2919_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6446,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X3,X1,X2) = c_List_Otake(X0,X1,X2)
% 152.92/153.98      | ~ hBOOL(hAPP(X3,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X3,X0,X1,X2),X2))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1484]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6447,plain,
% 152.92/153.98      ( ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X2,X1,X3),X3)))
% 152.92/153.98      | c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X0,X1,X3) = c_List_Otake(X2,X1,X3) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6446]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1481,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X0),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2920_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6440,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X0),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1481]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6441,plain,
% 152.92/153.98      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X0,X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.92/153.98      | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6440]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1479,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2921_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6436,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1479]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1476,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X0),c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X0
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2922_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6430,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X0),c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X0
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1476]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6431,plain,
% 152.92/153.98      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X0,X1,X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X3
% 152.92/153.98      | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6430]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1474,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),X2))) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2924_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6426,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),X2))) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1474]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6427,plain,
% 152.92/153.98      ( ~ hBOOL(hAPP(X0,c_List_Onth(X1,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),X2)))
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6426]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1472,plain,
% 152.92/153.98      ( c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X0,X1,X2,X3,X4),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))
% 152.92/153.98      | ~ class_Orderings_Olinorder(X4) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2925_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6422,plain,
% 152.92/153.98      ( c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X0,X1,X2,X3,X4),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))
% 152.92/153.98      | ~ class_Orderings_Olinorder(X4) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1472]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6423,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X0),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6422]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1468,plain,
% 152.92/153.98      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 152.92/153.98      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) != X3 ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2927_3) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6414,plain,
% 152.92/153.98      ( c_List_Oappend(X0,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) = c_List_Oappend(X2,X3,X1)
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 152.92/153.98      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X3,X1),X1) != X3 ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1468]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6415,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) != X3
% 152.92/153.98      | c_List_Oappend(X2,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1),X1) = c_List_Oappend(X0,X3,X1)
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 152.92/153.98      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6414]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1466,plain,
% 152.92/153.98      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2928_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6410,plain,
% 152.92/153.98      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1466]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6411,plain,
% 152.92/153.98      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6410]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1464,plain,
% 152.92/153.98      ( c_Lambda_OdB_OVar(X0) = X1
% 152.92/153.98      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2930_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6406,plain,
% 152.92/153.98      ( c_Lambda_OdB_OVar(X0) = X1
% 152.92/153.98      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1464]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6407,plain,
% 152.92/153.98      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OVar(X0) = X1 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6406]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1462,plain,
% 152.92/153.98      ( c_Lambda_OdB_OAbs(X0) = X1
% 152.92/153.98      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2931_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6402,plain,
% 152.92/153.98      ( c_Lambda_OdB_OAbs(X0) = X1
% 152.92/153.98      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1462]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6403,plain,
% 152.92/153.98      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OAbs(X0) = X1 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6402]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1460,plain,
% 152.92/153.98      ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2932_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6398,plain,
% 152.92/153.98      ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1460]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6399,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.92/153.98      | X0 = c_Lambda_OdB_OAbs(X2) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6398]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1458,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2933_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6394,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1458]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6395,plain,
% 152.92/153.98      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6394]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1456,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2934_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6390,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1456]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6391,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.92/153.98      | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6390]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1454,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2935_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6386,plain,
% 152.92/153.98      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.92/153.98      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1454]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6387,plain,
% 152.92/153.98      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.92/153.98      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6386]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1448,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.92/153.98      | X1 = X2
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2937_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6374,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.92/153.98      | X1 = X2
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1448]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6375,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.92/153.98      | c_ListOrder_Ostep1(X0,X1,X4,X3)
% 152.92/153.98      | X1 = X4 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6374]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1445,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4)
% 152.92/153.98      | ~ c_lessequals(hAPP(X0,X1),hAPP(X0,X2),X5)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X5) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2938_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6368,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4)
% 152.92/153.98      | ~ c_lessequals(hAPP(X0,X1),hAPP(X0,X2),X5)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X5) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1445]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6369,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X0)
% 152.92/153.98      | c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X4,X5),X5,X0) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X5),X5) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6368]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1440,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2941_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6358,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1440]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6359,plain,
% 152.92/153.98      ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X4,X5,X3) = c_List_Olist__update(c_List_Olist__update(X0,X4,X5,X3),X1,X2,X3)
% 152.92/153.98      | X1 = X4 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6358]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1439,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.92/153.98      | X1 = X4
% 152.92/153.98      | X2 = X5 ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2942_0) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6356,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.92/153.98      | X1 = X4
% 152.92/153.98      | X2 = X5 ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1439]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1437,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | X2 = X3
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2942_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6352,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | X2 = X3
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1437]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6353,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.92/153.98      | X2 = X5
% 152.92/153.98      | X1 = X4 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6352]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1435,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(X1,c_List_Olist__update(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X4,X2),X2) = c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2944_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6348,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(X1,c_List_Olist__update(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X4,X2),X2) = c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1435]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1433,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2947_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6344,plain,
% 152.92/153.98      ( c_List_Olinorder__class_Oinsort__key(X0,X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.92/153.98      | ~ class_Orderings_Olinorder(X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1433]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6345,plain,
% 152.92/153.98      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.98      | c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X0) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6344]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1431,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 152.92/153.98      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2948_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6340,plain,
% 152.92/153.98      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 152.92/153.98      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1431]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6341,plain,
% 152.92/153.98      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.92/153.98      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6340]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1429,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2951_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6336,plain,
% 152.92/153.98      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.92/153.98      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1429]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1427,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Olist__update(X1,X2,X0,X3),X3),X3)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2956_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6332,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Olist__update(X1,X2,X0,X3),X3),X3)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1427]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6333,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_in(X3,c_List_Oset(c_List_Olist__update(X1,X0,X3,X2),X2),X2) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6332]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1420,plain,
% 152.92/153.98      ( c_List_Olist__update(c_List_Oappend(X0,X1,X2),X3,X4,X2) = c_List_Oappend(c_List_Olist__update(X0,X3,X4,X2),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2959_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6318,plain,
% 152.92/153.98      ( c_List_Olist__update(c_List_Oappend(X0,X1,X2),X3,X4,X2) = c_List_Oappend(c_List_Olist__update(X0,X3,X4,X2),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1420]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6319,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Olist__update(c_List_Oappend(X1,X3,X2),X0,X4,X2) = c_List_Oappend(c_List_Olist__update(X1,X0,X4,X2),X3,X2) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6318]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1417,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2961_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6312,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1417]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6313,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.92/153.98      | c_ListOrder_Ostep1(X0,X2,X5,X3)
% 152.92/153.98      | X5 = X2 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6312]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1415,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X0,X1,X2),X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2962_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6308,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X0,X1,X2),X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1415]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6309,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X0,X1,X2),X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6308]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1401,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2974_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6280,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1401]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6281,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = c_List_Olist__update(X1,X0,X3,X2) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6280]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1399,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = X1
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2975_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6276,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = X1
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1399]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6277,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Odrop(c_Suc(X0),X1,X2),X2),X2) = X1 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6276]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1394,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2977_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6266,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1394]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1392,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2978_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6262,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1392]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1390,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2979_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6258,plain,
% 152.92/153.98      ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1390]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1388,plain,
% 152.92/153.98      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 152.92/153.98      | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2980_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6254,plain,
% 152.92/153.98      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 152.92/153.98      | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1388]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1386,plain,
% 152.92/153.98      ( c_List_Onth(c_List_Omap(X0,X1,X2,X3),X4,X3) = hAPP(X0,c_List_Onth(X1,X4,X2))
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2981_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6250,plain,
% 152.92/153.98      ( c_List_Onth(c_List_Omap(X0,X1,X2,X3),X4,X3) = hAPP(X0,c_List_Onth(X1,X4,X2))
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1386]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6251,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Onth(c_List_Omap(X3,X1,X2,X4),X0,X4) = hAPP(X3,c_List_Onth(X1,X0,X2)) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6250]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1376,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2988_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6230,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1376]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1374,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3),X3),X3)
% 152.92/153.98      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X1,X3),X3),X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2990_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6226,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3),X3),X3)
% 152.92/153.98      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X1,X3),X3),X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1374]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1372,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3),X3),X3)
% 152.92/153.98      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2991_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6222,plain,
% 152.92/153.98      ( c_in(X0,c_List_Oset(c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3),X3),X3)
% 152.92/153.98      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1372]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1369,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2993_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6216,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1369]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6217,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X4,X2) = c_List_Onth(X1,X4,X2)
% 152.92/153.98      | X0 = X4 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6216]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1366,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),X1,tc_nat)
% 152.92/153.98      | c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2994_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6210,plain,
% 152.92/153.98      ( c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X0,X1,X2,X3),X1,tc_nat)
% 152.92/153.98      | c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 152.92/153.98      | c_List_OtakeWhile(X0,X2,X3) = c_List_Otake(X1,X2,X3) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1366]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1365,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.92/153.98      | X4 = X1
% 152.92/153.98      | X5 = X2 ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2995_0) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6208,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.92/153.98      | X4 = X1
% 152.92/153.98      | X5 = X2 ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1365]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1363,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | X2 = X3
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2995_2) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6204,plain,
% 152.92/153.98      ( X0 = X1
% 152.92/153.98      | X2 = X3
% 152.92/153.98      | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1363]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6205,plain,
% 152.92/153.98      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.92/153.98      | X5 = X2
% 152.92/153.98      | X4 = X1 ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6204]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1361,plain,
% 152.92/153.98      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 152.92/153.98      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2996_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6200,plain,
% 152.92/153.98      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 152.92/153.98      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1361]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6201,plain,
% 152.92/153.98      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.92/153.98      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 152.92/153.98      inference(rewriting,[status(thm)],[c_6200]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_1359,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2998_1) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6196,plain,
% 152.92/153.98      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2)
% 152.92/153.98      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.98      inference(copy,[status(esa)],[c_1359]) ).
% 152.92/153.98  
% 152.92/153.98  cnf(c_6197,plain,
% 152.92/153.98      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.98      | c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_Suc(X0),X1,X2) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6196]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1357,plain,
% 152.92/153.99      ( c_List_Onth(c_List_OtakeWhile(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2999_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6192,plain,
% 152.92/153.99      ( c_List_Onth(c_List_OtakeWhile(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1357]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6193,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),tc_nat)
% 152.92/153.99      | c_List_Onth(c_List_OtakeWhile(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6192]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1353,plain,
% 152.92/153.99      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3001_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6184,plain,
% 152.92/153.99      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1353]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6185,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6184]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1350,plain,
% 152.92/153.99      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X1,X2),X2)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,c_List_Olist_OCons(X0,X1,X2),X2),X2)
% 152.92/153.99      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3002_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6178,plain,
% 152.92/153.99      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X1,X2),X2)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,c_List_Olist_OCons(X0,X1,X2),X2),X2)
% 152.92/153.99      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1350]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6179,plain,
% 152.92/153.99      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0)
% 152.92/153.99      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X0),X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6178]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1349,plain,
% 152.92/153.99      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.99      | c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3005_0) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6176,plain,
% 152.92/153.99      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.99      | c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1349]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1348,plain,
% 152.92/153.99      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | c_lessequals(X0,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3005_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6174,plain,
% 152.92/153.99      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | c_lessequals(X0,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1348]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1346,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3005_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6170,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X2,X0,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1346]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6171,plain,
% 152.92/153.99      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | c_lessequals(X0,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6170]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1340,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3007_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6158,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1340]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1338,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3008_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6154,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1338]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1336,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3009_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6150,plain,
% 152.92/153.99      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1336]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1328,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3011_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6134,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1328]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6135,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 152.92/153.99      | c_lessequals(X2,X1,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6134]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1323,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3013_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6124,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1323]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6125,plain,
% 152.92/153.99      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 152.92/153.99      | X1 = X4 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6124]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1321,plain,
% 152.92/153.99      ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3014_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6120,plain,
% 152.92/153.99      ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.92/153.99      | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1321]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6121,plain,
% 152.92/153.99      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.92/153.99      | c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X3,X4),X4) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6120]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1315,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X3,X2),X2),X2)
% 152.92/153.99      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3016_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6108,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X3,X2),X2),X2)
% 152.92/153.99      | ~ class_Orderings_Olinorder(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1315]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6109,plain,
% 152.92/153.99      ( ~ class_Orderings_Olinorder(X0)
% 152.92/153.99      | c_lessequals(X1,X2,X0)
% 152.92/153.99      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6108]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1311,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3017_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6100,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1311]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6101,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6100]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1295,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3021_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6068,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1295]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6069,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.99      | c_lessequals(X2,X3,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6068]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1278,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3025_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6034,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1278]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6035,plain,
% 152.92/153.99      ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 152.92/153.99      | X0 = X3 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6034]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1276,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3026_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6030,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1276]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6031,plain,
% 152.92/153.99      ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 152.92/153.99      | X1 = X4 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6030]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1268,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3028_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6014,plain,
% 152.92/153.99      ( X0 = X1
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1268]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6015,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),X3)
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | X0 = X1 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6014]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1264,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3030_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6006,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1264]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6007,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 152.92/153.99      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6006]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1262,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X3,X1,X2),X2),X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3031_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6002,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X3,X1,X2),X2),X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1262]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_6003,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_OtakeWhile(X1,X2,X3),X3),X3)
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_6002]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1260,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Odrop(X3,X1,X2),X2),X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3032_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5998,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Odrop(X3,X1,X2),X2),X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1260]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5999,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_Odrop(X1,X2,X3),X3),X3)
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5998]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1258,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Otake(X3,X1,X2),X2),X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3033_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5994,plain,
% 152.92/153.99      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 152.92/153.99      | ~ c_in(X0,c_List_Oset(c_List_Otake(X3,X1,X2),X2),X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1258]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5995,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_Otake(X1,X2,X3),X3),X3)
% 152.92/153.99      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5994]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1255,plain,
% 152.92/153.99      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.99      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 152.92/153.99      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3034_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5988,plain,
% 152.92/153.99      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 152.92/153.99      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 152.92/153.99      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1255]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1243,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3041_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5964,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1243]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5965,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5964]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1239,plain,
% 152.92/153.99      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3042_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5956,plain,
% 152.92/153.99      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1239]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1228,plain,
% 152.92/153.99      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3045_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5934,plain,
% 152.92/153.99      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1228]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5935,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5934]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1224,plain,
% 152.92/153.99      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.99      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.92/153.99      | ~ c_lessequals(X4,X3,X1)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3046_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5926,plain,
% 152.92/153.99      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/153.99      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.92/153.99      | ~ c_lessequals(X4,X3,X1)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1224]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5927,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.92/153.99      | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.92/153.99      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.92/153.99      | ~ c_lessequals(X4,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5926]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1221,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.92/153.99      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3047_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5920,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.92/153.99      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1221]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1219,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,X1))
% 152.92/153.99      | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X0,X2,X3),X3),X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3048_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5916,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,X1))
% 152.92/153.99      | ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X0,X2,X3),X3),X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1219]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1217,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Onth(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X2) = c_List_Onth(c_List_Oappend(X1,X3,X2),X0,X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3049_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5912,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Onth(X3,c_HOL_Ominus__class_Ominus(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),X2) = c_List_Onth(c_List_Oappend(X1,X3,X2),X0,X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1217]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1215,plain,
% 152.92/153.99      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3050_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5908,plain,
% 152.92/153.99      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X0,X2,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1215]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5909,plain,
% 152.92/153.99      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X0,X2,tc_nat)
% 152.92/153.99      | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5908]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1212,plain,
% 152.92/153.99      ( c_List_Olist_OCons(c_List_Onth(X0,X1,X2),c_List_Odrop(c_Suc(X1),X0,X2),X2) = c_List_Odrop(X1,X0,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3051_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5902,plain,
% 152.92/153.99      ( c_List_Olist_OCons(c_List_Onth(X0,X1,X2),c_List_Odrop(c_Suc(X1),X0,X2),X2) = c_List_Odrop(X1,X0,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1212]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5903,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Olist_OCons(c_List_Onth(X1,X0,X2),c_List_Odrop(c_Suc(X0),X1,X2),X2) = c_List_Odrop(X0,X1,X2) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5902]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1210,plain,
% 152.92/153.99      ( c_List_Onth(X0,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Suc(X2),tc_nat),X1) = c_List_Onth(c_List_Orev(X0,X1),X2,X1)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3052_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5898,plain,
% 152.92/153.99      ( c_List_Onth(X0,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Suc(X2),tc_nat),X1) = c_List_Onth(c_List_Orev(X0,X1),X2,X1)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1210]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5899,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/153.99      | c_List_Onth(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Suc(X0),tc_nat),X2) = c_List_Onth(c_List_Orev(X1,X2),X0,X2) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5898]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1207,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3053_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5892,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1207]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5893,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5892]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1204,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3054_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5886,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1204]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5887,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5886]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1201,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3055_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5880,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1201]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5881,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/153.99      | c_lessequals(X1,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5880]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1198,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3056_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5874,plain,
% 152.92/153.99      ( c_lessequals(X0,X1,X2)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1198]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5875,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/153.99      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/153.99      | c_lessequals(X2,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5874]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1193,plain,
% 152.92/153.99      ( X0 = X1 | ~ c_in(X0,c_List_Oset(c_List_Oreplicate(X2,X1,X3),X3),X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3059_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5864,plain,
% 152.92/153.99      ( X0 = X1 | ~ c_in(X0,c_List_Oset(c_List_Oreplicate(X2,X1,X3),X3),X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1193]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5865,plain,
% 152.92/153.99      ( ~ c_in(X0,c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3),X3) | X0 = X2 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5864]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1185,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,X1))
% 152.92/153.99      | c_List_OtakeWhile(X0,c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4) = c_List_OtakeWhile(X0,X2,X4) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3061_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5848,plain,
% 152.92/153.99      ( hBOOL(hAPP(X0,X1))
% 152.92/153.99      | c_List_OtakeWhile(X0,c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4) = c_List_OtakeWhile(X0,X2,X4) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1185]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1183,plain,
% 152.92/153.99      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.92/153.99      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3062_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5844,plain,
% 152.92/153.99      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.92/153.99      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1183]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1179,plain,
% 152.92/153.99      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.99      | ~ c_lessequals(X0,X3,X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3063_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5836,plain,
% 152.92/153.99      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.92/153.99      | ~ c_lessequals(X0,X3,X2)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1179]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5837,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.92/153.99      | ~ c_lessequals(X1,X3,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5836]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1171,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3065_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5820,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1171]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5821,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5820]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1163,plain,
% 152.92/153.99      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.99      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3067_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5804,plain,
% 152.92/153.99      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.92/153.99      | ~ c_lessequals(X1,X3,tc_nat)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.92/153.99      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1163]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5805,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/153.99      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.92/153.99      | ~ c_lessequals(X2,X3,tc_nat) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5804]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1159,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3069_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5796,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1159]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5797,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5796]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1151,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.99      | ~ c_lessequals(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3071_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5780,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/153.99      | ~ c_lessequals(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1151]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5781,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/153.99      | ~ c_lessequals(X1,X2,X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5780]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1147,plain,
% 152.92/153.99      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_lessequals(X1,X3,X0)
% 152.92/153.99      | ~ c_lessequals(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3072_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5772,plain,
% 152.92/153.99      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_lessequals(X1,X3,X0)
% 152.92/153.99      | ~ c_lessequals(X2,X4,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1147]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5773,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.92/153.99      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.92/153.99      | ~ c_lessequals(X1,X3,X0)
% 152.92/153.99      | ~ c_lessequals(X2,X4,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5772]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1144,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3075_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5766,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.92/153.99      | ~ c_lessequals(X1,X0,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1144]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5767,plain,
% 152.92/153.99      ( ~ c_lessequals(X0,X1,tc_nat)
% 152.92/153.99      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5766]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1141,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3076_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5760,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1141]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1137,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3079_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5752,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1137]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5753,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5752]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1135,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3080_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5748,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1135]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5749,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5748]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1131,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3082_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5740,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 152.92/153.99      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1131]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5741,plain,
% 152.92/153.99      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5740]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1128,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,c_List_Olist_Olist__size(X1,X2,X3),tc_nat)
% 152.92/153.99      | ~ c_in(X4,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X0,hAPP(X1,X4),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3085_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5734,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(X0,c_List_Olist_Olist__size(X1,X2,X3),tc_nat)
% 152.92/153.99      | ~ c_in(X4,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X0,hAPP(X1,X4),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1128]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5735,plain,
% 152.92/153.99      ( ~ c_HOL_Oord__class_Oless(X0,hAPP(X1,X2),tc_nat)
% 152.92/153.99      | c_HOL_Oord__class_Oless(X0,c_List_Olist_Olist__size(X1,X3,X4),tc_nat)
% 152.92/153.99      | ~ c_in(X2,c_List_Oset(X3,X4),X4) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5734]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1125,plain,
% 152.92/153.99      ( c_lessequals(X0,c_List_Olist_Olist__size(X1,X2,X3),tc_nat)
% 152.92/153.99      | ~ c_in(X4,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_lessequals(X0,hAPP(X1,X4),tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3086_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5728,plain,
% 152.92/153.99      ( c_lessequals(X0,c_List_Olist_Olist__size(X1,X2,X3),tc_nat)
% 152.92/153.99      | ~ c_in(X4,c_List_Oset(X2,X3),X3)
% 152.92/153.99      | ~ c_lessequals(X0,hAPP(X1,X4),tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1125]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5729,plain,
% 152.92/153.99      ( ~ c_lessequals(X0,hAPP(X1,X2),tc_nat)
% 152.92/153.99      | c_lessequals(X0,c_List_Olist_Olist__size(X1,X3,X4),tc_nat)
% 152.92/153.99      | ~ c_in(X2,c_List_Oset(X3,X4),X4) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5728]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1123,plain,
% 152.92/153.99      ( X0 = c_List_Olist_ONil(X1)
% 152.92/153.99      | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3087_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5724,plain,
% 152.92/153.99      ( X0 = c_List_Olist_ONil(X1)
% 152.92/153.99      | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1123]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5725,plain,
% 152.92/153.99      ( c_List_Olist__update(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.92/153.99      | X0 = c_List_Olist_ONil(X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5724]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1119,plain,
% 152.92/153.99      ( X0 = c_List_Olist_ONil(X1)
% 152.92/153.99      | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3089_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5716,plain,
% 152.92/153.99      ( X0 = c_List_Olist_ONil(X1)
% 152.92/153.99      | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1119]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5717,plain,
% 152.92/153.99      ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.92/153.99      | X1 = c_List_Olist_ONil(X2) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5716]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1114,plain,
% 152.92/153.99      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 152.92/153.99      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3093_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5706,plain,
% 152.92/153.99      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 152.92/153.99      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1114]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5707,plain,
% 152.92/153.99      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 152.92/153.99      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5706]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1107,plain,
% 152.92/153.99      ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 152.92/153.99      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3095_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5692,plain,
% 152.92/153.99      ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 152.92/153.99      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1107]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1104,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 152.92/153.99      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3096_2) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5686,plain,
% 152.92/153.99      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 152.92/153.99      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1104]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5687,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 152.92/153.99      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5686]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1091,plain,
% 152.92/153.99      ( c_List_OtakeWhile(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_OtakeWhile(X0,X2,X3),X3)
% 152.92/153.99      | ~ hBOOL(hAPP(X0,X1)) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3103_1) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5660,plain,
% 152.92/153.99      ( c_List_OtakeWhile(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_OtakeWhile(X0,X2,X3),X3)
% 152.92/153.99      | ~ hBOOL(hAPP(X0,X1)) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1091]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5661,plain,
% 152.92/153.99      ( ~ hBOOL(hAPP(X0,X1))
% 152.92/153.99      | c_List_OtakeWhile(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_OtakeWhile(X0,X2,X3),X3) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5660]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1087,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3104_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5652,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1087]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5653,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5652]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1083,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3105_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5644,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1083]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5645,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5644]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1079,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3106_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5636,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1079]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5637,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.99      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5636]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1067,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3109_3) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5612,plain,
% 152.92/153.99      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/153.99      inference(copy,[status(esa)],[c_1067]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_5613,plain,
% 152.92/153.99      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/153.99      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/153.99      inference(rewriting,[status(thm)],[c_5612]) ).
% 152.92/153.99  
% 152.92/153.99  cnf(c_1063,plain,
% 152.92/153.99      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/153.99      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3110_3) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5604,plain,
% 152.92/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/154.00      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/154.00      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1063]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5605,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/154.00      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.92/154.00      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5604]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1059,plain,
% 152.92/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3111_3) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5596,plain,
% 152.92/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1059]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5597,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.92/154.00      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.92/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5596]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1057,plain,
% 152.92/154.00      ( c_List_Onth(c_List_Oappend(X0,X1,X2),X3,X2) = c_List_Onth(X0,X3,X2)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3115_1) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5592,plain,
% 152.92/154.00      ( c_List_Onth(c_List_Oappend(X0,X1,X2),X3,X2) = c_List_Onth(X0,X3,X2)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1057]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5593,plain,
% 152.92/154.00      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 152.92/154.00      | c_List_Onth(c_List_Oappend(X1,X3,X2),X0,X2) = c_List_Onth(X1,X0,X2) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5592]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1053,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.92/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3116_3) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5584,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.92/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1053]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5585,plain,
% 152.92/154.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.92/154.00      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5584]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1043,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/154.00      | ~ c_lessequals(X0,X3,X1)
% 152.92/154.00      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3119_4) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5564,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.92/154.00      | ~ c_lessequals(X0,X3,X1)
% 152.92/154.00      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1043]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5565,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/154.00      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.92/154.00      | ~ c_lessequals(X1,X2,X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.92/154.00      | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5564]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1030,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3122_2) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5538,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1030]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5539,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5538]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1027,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3123_2) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5532,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1027]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5533,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.92/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5532]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1024,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3124_2) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5526,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.92/154.00      inference(copy,[status(esa)],[c_1024]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5527,plain,
% 152.92/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.92/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.92/154.00      inference(rewriting,[status(thm)],[c_5526]) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_1021,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.92/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.92/154.00      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.92/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3125_2) ).
% 152.92/154.00  
% 152.92/154.00  cnf(c_5520,plain,
% 152.92/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1021]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5521,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5520]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_1018,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3126_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5514,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1018]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5515,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.04/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5514]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_1015,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3127_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5508,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1015]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5509,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.04/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5508]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_1012,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3128_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5502,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1012]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5503,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.04/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5502]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_1009,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3129_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5496,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1009]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5497,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 153.04/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.04/154.00      | ~ c_lessequals(X2,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5496]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_1005,plain,
% 153.04/154.00      ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.04/154.00      | ~ class_Int_Onumber(X1)
% 153.04/154.00      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3130_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5488,plain,
% 153.04/154.00      ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.04/154.00      | ~ class_Int_Onumber(X1)
% 153.04/154.00      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_1005]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5489,plain,
% 153.04/154.00      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.00      | ~ class_Int_Onumber(X0)
% 153.04/154.00      | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5488]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_999,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3132_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5476,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_lessequals(X0,X2,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_999]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_997,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3133_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5472,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_997]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_991,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3136_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5460,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_991]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5461,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5460]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_987,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.04/154.00      | ~ c_List_Olistsp(X0,X1,X3)
% 153.04/154.00      | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3137_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5452,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.04/154.00      | ~ c_List_Olistsp(X0,X1,X3)
% 153.04/154.00      | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_987]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_983,plain,
% 153.04/154.00      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3140_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5444,plain,
% 153.04/154.00      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_983]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5445,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 153.04/154.00      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5444]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_980,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3142_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5438,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_980]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5439,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5438]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_977,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3143_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5432,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_977]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5433,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | c_lessequals(X1,X2,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5432]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_974,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3144_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5426,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_974]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5427,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5426]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_971,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3145_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5420,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_971]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5421,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5420]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_968,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3146_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5414,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_968]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5415,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5414]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_965,plain,
% 153.04/154.00      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3147_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5408,plain,
% 153.04/154.00      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_965]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5409,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5408]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_962,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3148_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5402,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_962]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5403,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5402]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_959,plain,
% 153.04/154.00      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.00      | c_List_Ohd(c_List_Odrop(X2,X0,X1),X1) = c_List_Onth(X0,X2,X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3149_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5396,plain,
% 153.04/154.00      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.00      | c_List_Ohd(c_List_Odrop(X2,X0,X1),X1) = c_List_Onth(X0,X2,X1)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_959]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5397,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 153.04/154.00      | c_List_Ohd(c_List_Odrop(X0,X1,X2),X2) = c_List_Onth(X1,X0,X2)
% 153.04/154.00      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5396]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_957,plain,
% 153.04/154.00      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1)
% 153.04/154.00      | ~ c_in(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3150_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5392,plain,
% 153.04/154.00      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1)
% 153.04/154.00      | ~ c_in(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_957]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5393,plain,
% 153.04/154.00      ( ~ c_in(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.00      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X0,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5392]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_953,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3160_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5384,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_953]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5385,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5384]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_949,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3161_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5376,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_949]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5377,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5376]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_945,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3162_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5368,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_945]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5369,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_lessequals(X1,X2,X0)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X0)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5368]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_941,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3163_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5360,plain,
% 153.04/154.00      ( c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X2)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_941]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5361,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_lessequals(X1,X2,X0)
% 153.04/154.00      | ~ c_lessequals(X3,X4,X0)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5360]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_939,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3165_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5356,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_939]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5357,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5356]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_937,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3166_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5352,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_937]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5353,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5352]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_935,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3167_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5348,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.04/154.00      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_935]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5349,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5348]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_932,plain,
% 153.04/154.00      ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 153.04/154.00      | ~ c_lessequals(X2,X0,tc_nat)
% 153.04/154.00      | ~ class_Ring__and__Field_Oring__1(X1) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3168_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5342,plain,
% 153.04/154.00      ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 153.04/154.00      | ~ c_lessequals(X2,X0,tc_nat)
% 153.04/154.00      | ~ class_Ring__and__Field_Oring__1(X1) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_932]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5343,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oring__1(X0)
% 153.04/154.00      | ~ c_lessequals(X1,X2,tc_nat)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5342]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_930,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,X1,X2)
% 153.04/154.00      | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3170_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5338,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,X1,X2)
% 153.04/154.00      | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_930]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5339,plain,
% 153.04/154.00      ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.04/154.00      | c_List_Olistsp(X0,X2,X3) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5338]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_928,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,X1,X2)
% 153.04/154.00      | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3171_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5334,plain,
% 153.04/154.00      ( c_List_Olistsp(X0,X1,X2)
% 153.04/154.00      | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_928]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5335,plain,
% 153.04/154.00      ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.04/154.00      | c_List_Olistsp(X0,X1,X3) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5334]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_926,plain,
% 153.04/154.00      ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 153.04/154.00      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3172_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5330,plain,
% 153.04/154.00      ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 153.04/154.00      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_926]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5331,plain,
% 153.04/154.00      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 153.04/154.00      | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5330]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_924,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3174_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5326,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_924]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5327,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5326]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_922,plain,
% 153.04/154.00      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3175_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5322,plain,
% 153.04/154.00      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_922]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5323,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.00      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5322]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_908,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3178_3) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5294,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_908]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5295,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5294]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_906,plain,
% 153.04/154.00      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 153.04/154.00      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X1,X2),X2),X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3179_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5290,plain,
% 153.04/154.00      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 153.04/154.00      | ~ c_in(X0,c_List_Oset(c_List_Obutlast(X1,X2),X2),X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_906]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5291,plain,
% 153.04/154.00      ( ~ c_in(X0,c_List_Oset(c_List_Obutlast(X1,X2),X2),X2)
% 153.04/154.00      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5290]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_903,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3180_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5284,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_903]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5285,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5284]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_901,plain,
% 153.04/154.00      ( c_List_Otake(X0,c_List_Obutlast(X1,X2),X2) = c_List_Otake(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3181_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5280,plain,
% 153.04/154.00      ( c_List_Otake(X0,c_List_Obutlast(X1,X2),X2) = c_List_Otake(X0,X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_901]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5281,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 153.04/154.00      | c_List_Otake(X0,c_List_Obutlast(X1,X2),X2) = c_List_Otake(X0,X1,X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5280]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_899,plain,
% 153.04/154.00      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3182_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5276,plain,
% 153.04/154.00      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_899]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5277,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 153.04/154.00      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5276]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_893,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.04/154.00      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3184_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5264,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.04/154.00      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_893]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5265,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5264]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_890,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3185_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5258,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_890]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5259,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5258]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_887,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3186_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5252,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_887]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5253,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.00      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5252]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_884,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3187_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5246,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_884]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5247,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.00      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5246]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_881,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3189_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5240,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_881]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5241,plain,
% 153.04/154.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5240]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_878,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3190_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5234,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_878]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5235,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5234]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_875,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3191_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5228,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_875]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5229,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5228]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_872,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3192_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5222,plain,
% 153.04/154.00      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_872]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5223,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5222]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_869,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3193_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5216,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.04/154.00      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_869]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5217,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.00      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.04/154.00      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5216]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_867,plain,
% 153.04/154.00      ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 153.04/154.00      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3194_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5212,plain,
% 153.04/154.00      ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 153.04/154.00      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_867]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_865,plain,
% 153.04/154.00      ( c_List_Olength__unique(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olength__unique(X1,X2)
% 153.04/154.00      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3195_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5208,plain,
% 153.04/154.00      ( c_List_Olength__unique(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olength__unique(X1,X2)
% 153.04/154.00      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_865]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5209,plain,
% 153.04/154.00      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 153.04/154.00      | c_List_Olength__unique(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olength__unique(X1,X2) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5208]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_862,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3196_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5202,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_862]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5203,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5202]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_859,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3197_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5196,plain,
% 153.04/154.00      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.04/154.00      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.00      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_859]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5197,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.04/154.00      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.00      | ~ c_lessequals(X1,X2,X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5196]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_858,plain,
% 153.04/154.00      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.04/154.00      | ~ c_Type_Otyping(X2,X0,X3)
% 153.04/154.00      | c_Type_Otyping(X2,X1,X3) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3198_0) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5194,plain,
% 153.04/154.00      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.04/154.00      | ~ c_Type_Otyping(X2,X0,X3)
% 153.04/154.00      | c_Type_Otyping(X2,X1,X3) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_858]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_856,plain,
% 153.04/154.00      ( c_Type_Otyping(X0,X1,X2)
% 153.04/154.00      | ~ c_Type_Otyping(X0,X3,X2)
% 153.04/154.00      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3198_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5190,plain,
% 153.04/154.00      ( c_Type_Otyping(X0,X1,X2)
% 153.04/154.00      | ~ c_Type_Otyping(X0,X3,X2)
% 153.04/154.00      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_856]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5191,plain,
% 153.04/154.00      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.04/154.00      | c_Type_Otyping(X2,X1,X3)
% 153.04/154.00      | ~ c_Type_Otyping(X2,X0,X3) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5190]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_854,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3199_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5186,plain,
% 153.04/154.00      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 153.04/154.00      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_854]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5187,plain,
% 153.04/154.00      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.04/154.00      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5186]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_852,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3200_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5182,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_852]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5183,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.00      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5182]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_850,plain,
% 153.04/154.00      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.00      | c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0 ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3201_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5178,plain,
% 153.04/154.00      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.00      | c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0 ),
% 153.04/154.00      inference(copy,[status(esa)],[c_850]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5179,plain,
% 153.04/154.00      ( c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0
% 153.04/154.00      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5178]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_848,plain,
% 153.04/154.00      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 153.04/154.00      | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3207_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5174,plain,
% 153.04/154.00      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 153.04/154.00      | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_848]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5175,plain,
% 153.04/154.00      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.00      | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5174]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_846,plain,
% 153.04/154.00      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3208_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5170,plain,
% 153.04/154.00      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_846]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5171,plain,
% 153.04/154.00      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.00      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5170]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_843,plain,
% 153.04/154.00      ( hBOOL(hAPP(X0,X1))
% 153.04/154.00      | ~ c_in(X1,c_List_Oset(X2,X3),X3)
% 153.04/154.00      | c_List_OtakeWhile(X0,X2,X3) != X2 ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3209_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5164,plain,
% 153.04/154.00      ( hBOOL(hAPP(X0,X1))
% 153.04/154.00      | ~ c_in(X1,c_List_Oset(X2,X3),X3)
% 153.04/154.00      | c_List_OtakeWhile(X0,X2,X3) != X2 ),
% 153.04/154.00      inference(copy,[status(esa)],[c_843]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_841,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3210_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5160,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_841]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_838,plain,
% 153.04/154.00      ( hBOOL(hAPP(X0,X1))
% 153.04/154.00      | ~ c_List_Olistsp(X0,X2,X3)
% 153.04/154.00      | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3211_2) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5154,plain,
% 153.04/154.00      ( hBOOL(hAPP(X0,X1))
% 153.04/154.00      | ~ c_List_Olistsp(X0,X2,X3)
% 153.04/154.00      | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_838]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_836,plain,
% 153.04/154.00      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 153.04/154.00      | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3212_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5150,plain,
% 153.04/154.00      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 153.04/154.00      | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_836]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5151,plain,
% 153.04/154.00      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.00      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 153.04/154.00      inference(rewriting,[status(thm)],[c_5150]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_834,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3213_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5146,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_834]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_832,plain,
% 153.04/154.00      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.04/154.00      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3214_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5142,plain,
% 153.04/154.00      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.04/154.00      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_832]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_831,plain,
% 153.04/154.00      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3215_0) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5140,plain,
% 153.04/154.00      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_831]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_830,plain,
% 153.04/154.00      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.04/154.00      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3215_1) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_5138,plain,
% 153.04/154.00      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.00      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.04/154.00      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.04/154.00      inference(copy,[status(esa)],[c_830]) ).
% 153.04/154.00  
% 153.04/154.00  cnf(c_828,plain,
% 153.04/154.00      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3215_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5134,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_828]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5135,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5134]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_827,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3216_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5132,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_827]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_826,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3216_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5130,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_826]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_824,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3216_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5126,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_824]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5127,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5126]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_823,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.01      | c_lessequals(X1,X3,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3217_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5124,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X3,X0)
% 153.04/154.01      | c_lessequals(X1,X3,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_823]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_822,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X1,X3,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X3,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3217_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5122,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X1,X3,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X3,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_822]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_820,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3217_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5118,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_820]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5119,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X1,X3,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5118]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_819,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3218_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5116,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_819]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_816,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3218_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5110,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_816]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5111,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5110]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_811,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X0)
% 153.04/154.01      | c_lessequals(X3,X2,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3220_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5100,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X0)
% 153.04/154.01      | c_lessequals(X3,X2,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_811]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_810,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X3,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3220_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5098,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X3,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_810]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_808,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3220_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5094,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X3,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_808]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5095,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X1,X3,X0)
% 153.04/154.01      | ~ c_lessequals(X3,X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5094]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_803,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3222_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5084,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_803]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_800,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3222_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5078,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.04/154.01      | ~ c_lessequals(X3,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_800]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5079,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5078]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_798,plain,
% 153.04/154.01      ( c_in(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.01      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X0,X2) = c_List_Olist_ONil(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3223_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5074,plain,
% 153.04/154.01      ( c_in(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.01      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X0,X2) = c_List_Olist_ONil(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_798]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_796,plain,
% 153.04/154.01      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.04/154.01      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3224_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5070,plain,
% 153.04/154.01      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.04/154.01      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_796]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_794,plain,
% 153.04/154.01      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 153.04/154.01      | c_List_Olength__unique(c_List_Olist_OCons(X0,X1,X2),X2) = c_Suc(c_List_Olength__unique(X1,X2)) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3225_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5066,plain,
% 153.04/154.01      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 153.04/154.01      | c_List_Olength__unique(c_List_Olist_OCons(X0,X1,X2),X2) = c_Suc(c_List_Olength__unique(X1,X2)) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_794]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_791,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3226_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5060,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_791]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5061,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5060]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_788,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3227_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5054,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_788]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5055,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.04/154.01      | c_lessequals(X1,X2,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5054]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_784,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.04/154.01      | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.04/154.01      | ~ class_Int_Onumber(X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3228_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5046,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.04/154.01      | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.04/154.01      | ~ class_Int_Onumber(X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_784]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5047,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ class_Int_Onumber(X0)
% 153.04/154.01      | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5046]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_781,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3230_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5040,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_781]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_779,plain,
% 153.04/154.01      ( c_List_Onth(X0,X1,X2) = X3
% 153.04/154.01      | c_List_Odrop(X1,X0,X2) != c_List_Olist_OCons(X3,X4,X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3231_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5036,plain,
% 153.04/154.01      ( c_List_Onth(X0,X1,X2) = X3
% 153.04/154.01      | c_List_Odrop(X1,X0,X2) != c_List_Olist_OCons(X3,X4,X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_779]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5037,plain,
% 153.04/154.01      ( c_List_Odrop(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.04/154.01      | c_List_Onth(X1,X0,X2) = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5036]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_777,plain,
% 153.04/154.01      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3232_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5032,plain,
% 153.04/154.01      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_777]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5033,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.01      | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5032]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_775,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 153.04/154.01      | ~ c_in(X2,c_List_Oset(X0,X1),X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3239_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5028,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 153.04/154.01      | ~ c_in(X2,c_List_Oset(X0,X1),X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_775]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_774,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X0,tc_nat)
% 153.04/154.01      | c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3240_0) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5026,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X0,tc_nat)
% 153.04/154.01      | c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_774]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_773,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | c_lessequals(X2,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3240_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5024,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | c_lessequals(X2,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_773]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_772,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X0,X2,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3240_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5022,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X0,X2,tc_nat)
% 153.04/154.01      | ~ c_lessequals(X2,X1,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_772]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_770,plain,
% 153.04/154.01      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.04/154.01      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3243_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5018,plain,
% 153.04/154.01      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.04/154.01      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_770]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_768,plain,
% 153.04/154.01      ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 153.04/154.01      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3244_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5014,plain,
% 153.04/154.01      ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 153.04/154.01      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_768]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_765,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X0,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3245_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5008,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X0,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_765]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5009,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X0),X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5008]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_762,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X0,X2,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3246_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5002,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X0,X2,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_762]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_5003,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X0),X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_5002]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_759,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X0,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3247_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4996,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(X0,X1)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X0,X1),X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_759]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4997,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X0),X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4996]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_757,plain,
% 153.04/154.01      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,tc_nat),X2) = X0
% 153.04/154.01      | c_Int_Onumber__class_Onumber__of(X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3248_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4992,plain,
% 153.04/154.01      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,tc_nat),X2) = X0
% 153.04/154.01      | c_Int_Onumber__class_Onumber__of(X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_757]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_755,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3249_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4988,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_755]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4989,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4988]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_753,plain,
% 153.04/154.01      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.01      | c_List_Olist_OCons(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3250_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4984,plain,
% 153.04/154.01      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.01      | c_List_Olist_OCons(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_753]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4985,plain,
% 153.04/154.01      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 153.04/154.01      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4984]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_751,plain,
% 153.04/154.01      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.01      | c_List_Oappend(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Oappend(X2,X0,X1),X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3251_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4980,plain,
% 153.04/154.01      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.01      | c_List_Oappend(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Oappend(X2,X0,X1),X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_751]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4981,plain,
% 153.04/154.01      ( c_List_Oappend(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X0,X1,X2),X2)
% 153.04/154.01      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4980]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_749,plain,
% 153.04/154.01      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 153.04/154.01      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3252_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4976,plain,
% 153.04/154.01      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 153.04/154.01      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_749]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4977,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4976]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_747,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X2,X1,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3253_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4972,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_lessequals(X2,X1,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_747]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_743,plain,
% 153.04/154.01      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3254_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4964,plain,
% 153.04/154.01      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_743]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4965,plain,
% 153.04/154.01      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 153.04/154.01      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil(X1) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4964]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_740,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3259_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4958,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_740]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4959,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4958]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_738,plain,
% 153.04/154.01      ( c_List_Otake(X0,X1,X2) = X1
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3260_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4954,plain,
% 153.04/154.01      ( c_List_Otake(X0,X1,X2) = X1
% 153.04/154.01      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_738]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4955,plain,
% 153.04/154.01      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 153.04/154.01      | c_List_Otake(X2,X0,X1) = X0 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4954]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_736,plain,
% 153.04/154.01      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3261_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4950,plain,
% 153.04/154.01      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_736]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4951,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4950]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_733,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3262_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4944,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_733]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4945,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4944]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_730,plain,
% 153.04/154.01      ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.04/154.01      | ~ c_lessequals(X0,X2,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3263_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4938,plain,
% 153.04/154.01      ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.04/154.01      | ~ c_lessequals(X0,X2,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_730]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4939,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4938]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_728,plain,
% 153.04/154.01      ( hBOOL(hAPP(X0,X1))
% 153.04/154.01      | c_List_OtakeWhile(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3264_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4934,plain,
% 153.04/154.01      ( hBOOL(hAPP(X0,X1))
% 153.04/154.01      | c_List_OtakeWhile(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_728]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_726,plain,
% 153.04/154.01      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.04/154.01      | X2 = X1 ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3267_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4930,plain,
% 153.04/154.01      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.04/154.01      | X2 = X1 ),
% 153.04/154.01      inference(copy,[status(esa)],[c_726]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_722,plain,
% 153.04/154.01      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 153.04/154.01      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3268_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4922,plain,
% 153.04/154.01      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 153.04/154.01      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_722]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_719,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3269_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4916,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_719]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4917,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4916]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_707,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3272_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4892,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_707]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4893,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X1,X0)
% 153.04/154.01      | X2 = X1 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4892]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_709,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | X1 = X2
% 153.04/154.01      | ~ c_lessequals(X2,X1,X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3272_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4896,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | X1 = X2
% 153.04/154.01      | ~ c_lessequals(X2,X1,X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_709]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4897,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_lessequals(X2,X1,X0)
% 153.04/154.01      | X1 = X2 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4896]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_703,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3273_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4884,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.01      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_703]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4885,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.04/154.01      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.04/154.01      | X2 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4884]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_700,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.04/154.01      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3274_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4878,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.04/154.01      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_700]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4879,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 153.04/154.01      | X2 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4878]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_697,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.04/154.01      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3275_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4872,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.04/154.01      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_697]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4873,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 153.04/154.01      | X1 = X2 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4872]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_691,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3277_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4860,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_691]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4861,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4860]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_688,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3278_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4854,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_688]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4855,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4854]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_685,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3279_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4848,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_685]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4849,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4848]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_682,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3280_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4842,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_682]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4843,plain,
% 153.04/154.01      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4842]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_676,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3282_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4830,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_676]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4831,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4830]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_673,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.04/154.01      | ~ c_lessequals(X0,X0,X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3283_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4824,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.04/154.01      | ~ c_lessequals(X0,X0,X1)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_673]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4825,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X1,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4824]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_668,plain,
% 153.04/154.01      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.04/154.01      | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3285_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4814,plain,
% 153.04/154.01      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.04/154.01      | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_668]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4815,plain,
% 153.04/154.01      ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 153.04/154.01      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4814]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_666,plain,
% 153.04/154.01      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.04/154.01      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3286_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4810,plain,
% 153.04/154.01      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 153.04/154.01      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_666]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4811,plain,
% 153.04/154.01      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 153.04/154.01      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4810]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_663,plain,
% 153.04/154.01      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X2
% 153.04/154.01      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3287_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4804,plain,
% 153.04/154.01      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X2
% 153.04/154.01      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_663]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4805,plain,
% 153.04/154.01      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 153.04/154.01      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X4 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4804]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_661,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3288_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4800,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_661]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_659,plain,
% 153.04/154.01      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3289_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4796,plain,
% 153.04/154.01      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_659]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_657,plain,
% 153.04/154.01      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X0
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3290_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4792,plain,
% 153.04/154.01      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X0
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_657]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4793,plain,
% 153.04/154.01      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.01      | X1 = X0 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4792]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_654,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3291_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4786,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.04/154.01      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_654]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4787,plain,
% 153.04/154.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4786]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_652,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3293_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4782,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_652]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4783,plain,
% 153.04/154.01      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.04/154.01      | X0 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4782]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_650,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3294_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4778,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_650]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4779,plain,
% 153.04/154.01      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.04/154.01      | X1 = X4 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4778]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_648,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3295_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4774,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_648]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4775,plain,
% 153.04/154.01      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4774]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_646,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3296_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4770,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_646]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4771,plain,
% 153.04/154.01      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4770]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_644,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3297_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4766,plain,
% 153.04/154.01      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_644]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4767,plain,
% 153.04/154.01      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4766]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_641,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3298_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4760,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_641]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4761,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.04/154.01      | X2 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4760]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_638,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3299_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4754,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_638]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4755,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.04/154.01      | X2 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4754]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_635,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3300_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4748,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.04/154.01      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_635]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4749,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.04/154.01      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 153.04/154.01      | X1 = X3 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4748]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_630,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3302_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4738,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_630]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4739,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4738]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_627,plain,
% 153.04/154.01      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.04/154.01      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3308_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4732,plain,
% 153.04/154.01      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.04/154.01      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_627]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4733,plain,
% 153.04/154.01      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.04/154.01      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4732]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_625,plain,
% 153.04/154.01      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.04/154.01      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3309_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4728,plain,
% 153.04/154.01      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.04/154.01      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_625]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4729,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.04/154.01      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4728]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_623,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3313_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4724,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_623]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4725,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4724]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_621,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3314_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4720,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_621]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4721,plain,
% 153.04/154.01      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4720]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_618,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | X0 = c_Suc(X1)
% 153.04/154.01      | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3315_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4714,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | X0 = c_Suc(X1)
% 153.04/154.01      | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_618]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4715,plain,
% 153.04/154.01      ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 153.04/154.01      | c_lessequals(X0,X1,tc_nat)
% 153.04/154.01      | X0 = c_Suc(X1) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4714]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_615,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_Otake(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3316_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4708,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_Otake(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_615]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4709,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(c_List_Otake(X1,X2,X0),X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4708]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_612,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_Odrop(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3317_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4702,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_Odrop(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_612]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4703,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(c_List_Odrop(X1,X2,X0),X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4702]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_609,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3318_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4696,plain,
% 153.04/154.01      ( c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X0,X1,X2),X2)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_609]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4697,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X1,X2,X0),X0)
% 153.04/154.01      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4696]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_601,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3320_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4680,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_601]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4681,plain,
% 153.04/154.01      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | X1 = X2 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4680]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_585,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3324_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4648,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_585]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4649,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | X1 = X2 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4648]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_577,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3326_3) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4632,plain,
% 153.04/154.01      ( X0 = X1
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.01      | ~ c_lessequals(X1,X0,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_577]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4633,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | ~ c_lessequals(X1,X2,X0)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.01      | X2 = X1 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4632]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_573,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3328_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4624,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_573]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_571,plain,
% 153.04/154.01      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3329_1) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4620,plain,
% 153.04/154.01      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.04/154.01      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_571]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_565,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X1 = X0
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3331_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4608,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X1 = X0
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_565]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4609,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X1 = X0 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4608]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_562,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3332_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4602,plain,
% 153.04/154.01      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X0 = X1
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_562]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4603,plain,
% 153.04/154.01      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.01      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.01      | X0 = X1 ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4602]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_556,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3334_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4590,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Oorder(X2) ),
% 153.04/154.01      inference(copy,[status(esa)],[c_556]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4591,plain,
% 153.04/154.01      ( ~ class_Orderings_Oorder(X0)
% 153.04/154.01      | c_lessequals(X1,X2,X0)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.01      inference(rewriting,[status(thm)],[c_4590]) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_553,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.01      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.01      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3335_2) ).
% 153.04/154.01  
% 153.04/154.01  cnf(c_4584,plain,
% 153.04/154.01      ( c_lessequals(X0,X1,X2)
% 153.04/154.01      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.02      | ~ class_Orderings_Opreorder(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_553]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4585,plain,
% 153.04/154.02      ( ~ class_Orderings_Opreorder(X0)
% 153.04/154.02      | c_lessequals(X1,X2,X0)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4584]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_551,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3339_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4580,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_551]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4581,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4580]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_549,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3340_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4576,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_549]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_545,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3342_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4568,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_545]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4569,plain,
% 153.04/154.02      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4568]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_543,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3343_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4564,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_543]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4565,plain,
% 153.04/154.02      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4564]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_541,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3344_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4560,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_541]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4561,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4560]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_539,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3345_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4556,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_539]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_535,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3347_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4548,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_535]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4549,plain,
% 153.04/154.02      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4548]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_531,plain,
% 153.04/154.02      ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3349_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4540,plain,
% 153.04/154.02      ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_531]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_529,plain,
% 153.04/154.02      ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3350_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4536,plain,
% 153.04/154.02      ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_529]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_527,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3351_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4532,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_527]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_525,plain,
% 153.04/154.02      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X1)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3352_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4528,plain,
% 153.04/154.02      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X1)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_525]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4529,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4528]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_523,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Olist_OCons(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3353_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4524,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Olist_OCons(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_523]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4525,plain,
% 153.04/154.02      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4524]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_521,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Oappend(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3354_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4520,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Oappend(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_521]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4521,plain,
% 153.04/154.02      ( c_List_Olast(c_List_Oappend(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4520]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_519,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Ohd(c_List_Oappend(X0,X2,X1),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3355_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4516,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Ohd(c_List_Oappend(X0,X2,X1),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_519]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4517,plain,
% 153.04/154.02      ( c_List_Ohd(c_List_Oappend(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4516]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_510,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3358_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4498,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_510]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4499,plain,
% 153.04/154.02      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | X0 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4498]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_508,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3359_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4494,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_508]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4495,plain,
% 153.04/154.02      ( ~ c_lessequals(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4494]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_506,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3360_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4490,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_506]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4491,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4490]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_502,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3363_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4482,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_502]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_489,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3368_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4456,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 153.04/154.02      inference(copy,[status(esa)],[c_489]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4457,plain,
% 153.04/154.02      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4456]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_487,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3369_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4452,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 153.04/154.02      inference(copy,[status(esa)],[c_487]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4453,plain,
% 153.04/154.02      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4452]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_474,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | X1 = X2
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3374_0) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4426,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | X1 = X2
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_474]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4427,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.04/154.02      | X2 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4426]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_471,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.02      | X0 = X1
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3374_3) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4420,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.02      | X0 = X1
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_471]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4421,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4420]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_469,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.02      | X2 = X1
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3375_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4416,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.02      | X2 = X1
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_469]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4417,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.04/154.02      | X2 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4416]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_465,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3376_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4408,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_465]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4409,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.04/154.02      | X1 = X3 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4408]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_463,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3377_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4404,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_463]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4405,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.04/154.02      | X0 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4404]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_461,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3379_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4400,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_461]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4401,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4400]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_458,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,X2)
% 153.04/154.02      | c_lessequals(X1,X0,X2)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3380_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4394,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,X2)
% 153.04/154.02      | c_lessequals(X1,X0,X2)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_458]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4395,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_lessequals(X1,X2,X0)
% 153.04/154.02      | c_lessequals(X2,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4394]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_449,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3383_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4376,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_449]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4377,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_lessequals(X1,X1,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4376]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_446,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,X2)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3384_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4370,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,X2)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_446]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4371,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_lessequals(X1,X2,X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4370]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_444,plain,
% 153.04/154.02      ( hBOOL(hAPP(X0,X1)) | ~ c_in(X1,X0,X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3385_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4366,plain,
% 153.04/154.02      ( hBOOL(hAPP(X0,X1)) | ~ c_in(X1,X0,X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_444]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_442,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3387_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4362,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_442]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4363,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4362]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_438,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3389_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4354,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_438]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4355,plain,
% 153.04/154.02      ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4354]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_436,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3390_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4350,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_436]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4351,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4350]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_434,plain,
% 153.04/154.02      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3391_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4346,plain,
% 153.04/154.02      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_434]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4347,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4346]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_432,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3392_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4342,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_432]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4343,plain,
% 153.04/154.02      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4342]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_430,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3393_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4338,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_430]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4339,plain,
% 153.04/154.02      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4338]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_426,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3395_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4330,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_426]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4331,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4330]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_424,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3396_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4326,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_424]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4327,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4326]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_422,plain,
% 153.04/154.02      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3398_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4322,plain,
% 153.04/154.02      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_422]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4323,plain,
% 153.04/154.02      ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4322]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_417,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | X1 = X0
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3400_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4312,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | X1 = X0
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_417]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4313,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.04/154.02      | X1 = X0 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4312]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_412,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3401_3) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4302,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_412]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4303,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4302]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_410,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3402_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4298,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_410]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4299,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4298]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_408,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3403_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4294,plain,
% 153.04/154.02      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_408]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_405,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3404_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4288,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_405]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4289,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4288]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_401,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.04/154.02      | ~ class_Int_Onumber__ring(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3405_3) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4280,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.04/154.02      | ~ class_Int_Onumber__ring(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_401]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4281,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 153.04/154.02      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4280]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_399,plain,
% 153.04/154.02      ( c_in(X0,X1,X2) | ~ hBOOL(hAPP(X1,X0)) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3406_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4276,plain,
% 153.04/154.02      ( c_in(X0,X1,X2) | ~ hBOOL(hAPP(X1,X0)) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_399]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4277,plain,
% 153.04/154.02      ( ~ hBOOL(hAPP(X0,X1)) | c_in(X1,X0,X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4276]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_396,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3407_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4270,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_396]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4271,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4270]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_393,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3408_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4264,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_393]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4265,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4264]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_390,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2)
% 153.04/154.02      | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3409_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4258,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2)
% 153.04/154.02      | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_390]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4259,plain,
% 153.04/154.02      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4258]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_387,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3410_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4252,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_387]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4253,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4252]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_385,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3411_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4248,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_385]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4249,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4248]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_379,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3414_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4236,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_379]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4237,plain,
% 153.04/154.02      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4236]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_377,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3415_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4232,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_377]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4233,plain,
% 153.04/154.02      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.04/154.02      | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4232]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_367,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3418_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4212,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_367]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4213,plain,
% 153.04/154.02      ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4212]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_363,plain,
% 153.04/154.02      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3420_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4204,plain,
% 153.04/154.02      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_363]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4205,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4204]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_361,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3421_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4200,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_361]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4201,plain,
% 153.04/154.02      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4200]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_359,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3422_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4196,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_359]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4197,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4196]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_357,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3423_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4192,plain,
% 153.04/154.02      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_357]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4193,plain,
% 153.04/154.02      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4192]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_353,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3427_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4184,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.04/154.02      inference(copy,[status(esa)],[c_353]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4185,plain,
% 153.04/154.02      ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4184]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_349,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3429_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4176,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.04/154.02      inference(copy,[status(esa)],[c_349]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4177,plain,
% 153.04/154.02      ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4176]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_347,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3430_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4172,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_347]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4173,plain,
% 153.04/154.02      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4172]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_345,plain,
% 153.04/154.02      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3436_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4168,plain,
% 153.04/154.02      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_345]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4169,plain,
% 153.04/154.02      ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4168]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_342,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3440_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4162,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_342]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4163,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4162]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_338,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Power_Opower(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3443_3) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4154,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Power_Opower(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_338]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4155,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4154]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_336,plain,
% 153.04/154.02      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.04/154.02      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3444_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4150,plain,
% 153.04/154.02      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.04/154.02      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_336]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_333,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3445_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4144,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_333]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4145,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.04/154.02      | ~ class_Power_Opower(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4144]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_331,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3446_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4140,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_331]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4141,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4140]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_329,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Onth(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3447_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4136,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Onth(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_329]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4137,plain,
% 153.04/154.02      ( c_List_Onth(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_List_Ohd(X0,X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4136]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_327,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3448_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4132,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_327]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4133,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4132]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_325,plain,
% 153.04/154.02      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3449_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4128,plain,
% 153.04/154.02      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_325]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4129,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.04/154.02      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4128]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_322,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3450_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4122,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_322]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4123,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4122]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_319,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3451_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4116,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_319]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4117,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4116]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_315,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3453_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4108,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_315]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4109,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4108]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_313,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3454_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4104,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_313]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4105,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4104]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_311,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3455_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4100,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_311]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4101,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4100]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_309,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3456_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4096,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_309]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4097,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4096]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_307,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3459_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4092,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_307]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4093,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4092]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_305,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3460_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4088,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_305]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4089,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4088]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_303,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.04/154.02      | ~ class_Power_Opower(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3461_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4084,plain,
% 153.04/154.02      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.04/154.02      | ~ class_Power_Opower(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_303]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4085,plain,
% 153.04/154.02      ( ~ class_Power_Opower(X0)
% 153.04/154.02      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4084]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_301,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3463_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4080,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_301]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4081,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4080]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_299,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3464_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4076,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_299]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4077,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4076]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_297,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3465_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4072,plain,
% 153.04/154.02      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_297]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4073,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.04/154.02      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4072]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_295,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3467_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4068,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_295]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4069,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4068]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_291,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3469_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4060,plain,
% 153.04/154.02      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_291]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4061,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.04/154.02      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4060]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_289,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3483_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4056,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_289]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4057,plain,
% 153.04/154.02      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4056]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_287,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3484_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4052,plain,
% 153.04/154.02      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_287]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4053,plain,
% 153.04/154.02      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4052]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_285,plain,
% 153.04/154.02      ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3495_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4048,plain,
% 153.04/154.02      ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 153.04/154.02      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_285]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4049,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.04/154.02      | c_List_Olistsum(c_List_Orev(X1,X0),X0) = c_List_Olistsum(X1,X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4048]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_281,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.02      | ~ class_Int_Oring__char__0(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3497_3) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4040,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X2)
% 153.04/154.02      | ~ class_Int_Oring__char__0(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_281]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4041,plain,
% 153.04/154.02      ( ~ class_Int_Oring__char__0(X0)
% 153.04/154.02      | ~ class_Int_Onumber__ring(X0)
% 153.04/154.02      | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4040]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_279,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3498_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4036,plain,
% 153.04/154.02      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_279]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4037,plain,
% 153.04/154.02      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.04/154.02      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4036]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_277,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Orev(X0,X1),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3499_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4032,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Olast(c_List_Orev(X0,X1),X1) = c_List_Ohd(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_277]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4033,plain,
% 153.04/154.02      ( c_List_Olast(c_List_Orev(X0,X1),X1) = c_List_Ohd(X0,X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4032]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_275,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Ohd(c_List_Orev(X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3500_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4028,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Ohd(c_List_Orev(X0,X1),X1) = c_List_Olast(X0,X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_275]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4029,plain,
% 153.04/154.02      ( c_List_Ohd(c_List_Orev(X0,X1),X1) = c_List_Olast(X0,X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4028]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_272,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.04/154.02      | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3511_2) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4022,plain,
% 153.04/154.02      ( X0 = X1
% 153.04/154.02      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.04/154.02      | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_272]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4023,plain,
% 153.04/154.02      ( ~ class_Nat_Osemiring__char__0(X0)
% 153.04/154.02      | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 153.04/154.02      | X1 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4022]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_270,plain,
% 153.04/154.02      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3514_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4018,plain,
% 153.04/154.02      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_270]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4019,plain,
% 153.04/154.02      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4018]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_268,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3515_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4014,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_268]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4015,plain,
% 153.04/154.02      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_4014]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_266,plain,
% 153.04/154.02      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3520_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4010,plain,
% 153.04/154.02      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_266]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_264,plain,
% 153.04/154.02      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.04/154.02      | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3521_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_4006,plain,
% 153.04/154.02      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.04/154.02      | ~ class_Orderings_Opreorder(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_264]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_260,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3523_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3998,plain,
% 153.04/154.02      ( X0 = c_List_Olist_ONil(X1)
% 153.04/154.02      | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_260]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3999,plain,
% 153.04/154.02      ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 153.04/154.02      | X0 = c_List_Olist_ONil(X1) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3998]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_258,plain,
% 153.04/154.02      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3524_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3994,plain,
% 153.04/154.02      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_258]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3995,plain,
% 153.04/154.02      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.04/154.02      | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3994]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_256,plain,
% 153.04/154.02      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3526_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3990,plain,
% 153.04/154.02      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_256]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3991,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.04/154.02      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3990]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_254,plain,
% 153.04/154.02      ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3527_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3986,plain,
% 153.04/154.02      ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0)
% 153.04/154.02      | ~ class_Orderings_Olinorder(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_254]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3987,plain,
% 153.04/154.02      ( ~ class_Orderings_Olinorder(X0)
% 153.04/154.02      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3986]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_250,plain,
% 153.04/154.02      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3536_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3978,plain,
% 153.04/154.02      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.04/154.02      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_250]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3979,plain,
% 153.04/154.02      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.04/154.02      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3978]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_248,plain,
% 153.04/154.02      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3537_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3974,plain,
% 153.04/154.02      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_248]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3975,plain,
% 153.04/154.02      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3974]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_246,plain,
% 153.04/154.02      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3538_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3970,plain,
% 153.04/154.02      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_246]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3971,plain,
% 153.04/154.02      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3970]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_242,plain,
% 153.04/154.02      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3540_1) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3962,plain,
% 153.04/154.02      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_242]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3963,plain,
% 153.04/154.02      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 153.04/154.02      inference(rewriting,[status(thm)],[c_3962]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_241,plain,
% 153.04/154.02      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2916_0) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3960,plain,
% 153.04/154.02      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_241]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_240,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2929_0) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_3958,plain,
% 153.04/154.02      ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.04/154.02      inference(copy,[status(esa)],[c_240]) ).
% 153.04/154.02  
% 153.04/154.02  cnf(c_239,plain,
% 153.04/154.02      ( ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.02      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3035_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3956,plain,
% 153.04/154.03      ( ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_239]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_238,plain,
% 153.04/154.03      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3090_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3954,plain,
% 153.04/154.03      ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_238]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_237,plain,
% 153.04/154.03      ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3091_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3952,plain,
% 153.04/154.03      ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_237]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_236,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3306_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3950,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_236]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_235,plain,
% 153.04/154.03      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3311_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3948,plain,
% 153.04/154.03      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_235]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_234,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3424_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3946,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_234]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_233,plain,
% 153.04/154.03      ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3425_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3944,plain,
% 153.04/154.03      ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_233]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_230,plain,
% 153.04/154.03      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3433_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3938,plain,
% 153.04/154.03      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_230]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_228,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3435_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3934,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_228]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_226,plain,
% 153.04/154.03      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3438_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3930,plain,
% 153.04/154.03      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.04/154.03      inference(copy,[status(esa)],[c_226]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_224,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3442_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3926,plain,
% 153.04/154.03      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_224]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_223,plain,
% 153.04/154.03      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3475_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3924,plain,
% 153.04/154.03      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_223]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_222,plain,
% 153.04/154.03      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3476_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3922,plain,
% 153.04/154.03      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_222]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_221,plain,
% 153.04/154.03      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3477_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3920,plain,
% 153.04/154.03      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_221]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_220,plain,
% 153.04/154.03      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3478_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3918,plain,
% 153.04/154.03      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_220]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_219,plain,
% 153.04/154.03      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3541_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3916,plain,
% 153.04/154.03      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_219]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_218,plain,
% 153.04/154.03      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3542_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3914,plain,
% 153.04/154.03      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_218]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_216,plain,
% 153.04/154.03      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3545_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3910,plain,
% 153.04/154.03      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_216]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_214,plain,
% 153.04/154.03      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3547_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3906,plain,
% 153.04/154.03      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_214]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_212,plain,
% 153.04/154.03      ( c_Suc(X0) != X0 ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3549_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3902,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_212]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_187,plain,
% 153.04/154.03      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2982_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3876,plain,
% 153.04/154.03      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_187]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_182,plain,
% 153.04/154.03      ( c_in(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),X3) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_2997_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3870,plain,
% 153.04/154.03      ( c_in(X0,c_List_Oset(c_List_Oappend(X1,c_List_Olist_OCons(X0,X2,X3),X3),X3),X3) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_182]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_179,plain,
% 153.04/154.03      ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3036_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3866,plain,
% 153.04/154.03      ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_179]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_162,plain,
% 153.04/154.03      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3134_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3848,plain,
% 153.04/154.03      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_162]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_149,plain,
% 153.04/154.03      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3169_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3834,plain,
% 153.04/154.03      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_149]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_148,plain,
% 153.04/154.03      ( c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3173_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3832,plain,
% 153.04/154.03      ( c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_148]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_121,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3310_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3804,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_121]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_120,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3312_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3802,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_120]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_111,plain,
% 153.04/154.03      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3386_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3792,plain,
% 153.04/154.03      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_111]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_109,plain,
% 153.04/154.03      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3439_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3789,plain,
% 153.04/154.03      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_109]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_106,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3462_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3785,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_106]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_104,plain,
% 153.04/154.03      ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3470_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3782,plain,
% 153.04/154.03      ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_104]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_96,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3482_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3772,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_96]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_85,plain,
% 153.04/154.03      ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3496_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3760,plain,
% 153.04/154.03      ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_85]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_84,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3501_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3758,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_84]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_82,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3503_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3754,plain,
% 153.04/154.03      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_82]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_78,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3507_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3749,plain,
% 153.04/154.03      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_78]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_76,plain,
% 153.04/154.03      ( c_fequal(X0,X0,X1) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3509_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3746,plain,
% 153.04/154.03      ( c_fequal(X0,X0,X1) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_76]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_73,plain,
% 153.04/154.03      ( c_lessequals(X0,X0,tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3513_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3741,plain,
% 153.04/154.03      ( c_lessequals(X0,X0,tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_73]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_69,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3519_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3736,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_69]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_67,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,v_ta____)) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3528_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3733,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,v_ta____)) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_67]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_66,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,v_s____)) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3529_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3731,plain,
% 153.04/154.03      ( hBOOL(hAPP(c_InductTermi_OIT,v_s____)) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_66]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_59,plain,
% 153.04/154.03      ( class_Int_Onumber(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3550_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3723,plain,
% 153.04/154.03      ( class_Int_Onumber(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_59]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_58,plain,
% 153.04/154.03      ( class_Power_Opower(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3551_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3721,plain,
% 153.04/154.03      ( class_Power_Opower(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_58]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_57,plain,
% 153.04/154.03      ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3552_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3719,plain,
% 153.04/154.03      ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_57]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_56,plain,
% 153.04/154.03      ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3553_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3717,plain,
% 153.04/154.03      ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_56]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_55,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3554_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3715,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_55]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_54,plain,
% 153.04/154.03      ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3555_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3713,plain,
% 153.04/154.03      ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_54]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_53,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3556_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3711,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_53]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_52,plain,
% 153.04/154.03      ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3557_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3709,plain,
% 153.04/154.03      ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_52]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_51,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3558_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3707,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_51]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_50,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3559_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3705,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_50]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_49,plain,
% 153.04/154.03      ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3560_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3703,plain,
% 153.04/154.03      ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_49]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_48,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3561_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3701,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_48]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_47,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3562_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3699,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_47]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_46,plain,
% 153.04/154.03      ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3563_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3697,plain,
% 153.04/154.03      ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_46]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_45,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3564_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3695,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_45]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_44,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3565_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3693,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_44]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_43,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3566_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3691,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_43]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_42,plain,
% 153.04/154.03      ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3567_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3689,plain,
% 153.04/154.03      ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_42]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_41,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3568_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3687,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_41]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_40,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3569_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3685,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_40]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_39,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3570_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3683,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_39]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_38,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3571_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3681,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_38]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_37,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3572_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3679,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_37]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_36,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3573_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3677,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_36]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_35,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3574_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3675,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_35]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_34,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3575_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3673,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_34]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_33,plain,
% 153.04/154.03      ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3576_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3671,plain,
% 153.04/154.03      ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_33]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_32,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3577_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3669,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_32]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_31,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3578_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3667,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_31]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_30,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3579_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3665,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_30]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_29,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3580_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3663,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_29]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_28,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3581_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3661,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_28]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_27,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3582_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3659,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_27]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_26,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3583_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3657,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_26]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_25,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_bool) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3584_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3655,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_bool) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_25]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_24,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_bool) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3585_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3653,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_bool) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_24]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_23,plain,
% 153.04/154.03      ( class_Int_Onumber(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3586_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3651,plain,
% 153.04/154.03      ( class_Int_Onumber(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_23]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_22,plain,
% 153.04/154.03      ( class_Power_Opower(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3587_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3649,plain,
% 153.04/154.03      ( class_Power_Opower(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_22]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_21,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3588_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3647,plain,
% 153.04/154.03      ( class_Orderings_Oorder(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_21]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_20,plain,
% 153.04/154.03      ( class_Orderings_Olinorder(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3589_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3645,plain,
% 153.04/154.03      ( class_Orderings_Olinorder(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_20]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_19,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3590_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3643,plain,
% 153.04/154.03      ( class_Orderings_Opreorder(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_19]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_18,plain,
% 153.04/154.03      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3591_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3641,plain,
% 153.04/154.03      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_18]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_17,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3592_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3639,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_17]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_16,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3593_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3637,plain,
% 153.04/154.03      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_16]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_15,plain,
% 153.04/154.03      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3594_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3635,plain,
% 153.04/154.03      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_15]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_14,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3595_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3633,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_14]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_13,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3596_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3631,plain,
% 153.04/154.03      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_13]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_12,plain,
% 153.04/154.03      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3597_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3629,plain,
% 153.04/154.03      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_12]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_11,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3598_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3627,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_11]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_10,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3599_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3625,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_10]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_9,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3600_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3623,plain,
% 153.04/154.03      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_9]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_8,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3601_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3621,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_8]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_7,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3602_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3619,plain,
% 153.04/154.03      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_7]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_6,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3603_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3617,plain,
% 153.04/154.03      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_6]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_5,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3604_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3615,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_5]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_4,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3605_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3613,plain,
% 153.04/154.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_4]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3606_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3611,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_3]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_2,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3607_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3609,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_2]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_1,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3608_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3607,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_1]) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_0,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      file('/export/starexec/sandbox/tmp/iprover_modulo_7cbe67.p', c_0_3609_0) ).
% 153.04/154.03  
% 153.04/154.03  cnf(c_3605,plain,
% 153.04/154.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.04/154.03      inference(copy,[status(esa)],[c_0]) ).
% 153.04/154.03  
% 153.04/154.03  
% 153.04/154.03  
% 153.04/154.03  % ------                             Statistics
% 153.04/154.03  
% 153.04/154.03  % ------ General
% 153.04/154.03  
% 153.04/154.03  % num_of_input_clauses:                 1546
% 153.04/154.03  % num_of_input_neg_conjectures:         1
% 153.04/154.03  % num_of_splits:                        0
% 153.04/154.03  % num_of_split_atoms:                   0
% 153.04/154.03  % num_of_sem_filtered_clauses:          0
% 153.04/154.03  % num_of_subtypes:                      0
% 153.04/154.03  % monotx_restored_types:                0
% 153.04/154.03  % sat_num_of_epr_types:                 0
% 153.04/154.03  % sat_num_of_non_cyclic_types:          0
% 153.04/154.03  % sat_guarded_non_collapsed_types:      0
% 153.04/154.03  % is_epr:                               0
% 153.04/154.03  % is_horn:                              0
% 153.04/154.03  % has_eq:                               1
% 153.04/154.03  % num_pure_diseq_elim:                  0
% 153.04/154.03  % simp_replaced_by:                     0
% 153.04/154.03  % res_preprocessed:                     2
% 153.04/154.03  % prep_upred:                           0
% 153.04/154.03  % prep_unflattend:                      0
% 153.04/154.03  % pred_elim_cands:                      0
% 153.04/154.03  % pred_elim:                            0
% 153.04/154.03  % pred_elim_cl:                         0
% 153.04/154.03  % pred_elim_cycles:                     0
% 153.04/154.03  % forced_gc_time:                       0
% 153.04/154.03  % gc_basic_clause_elim:                 0
% 153.04/154.03  % parsing_time:                         0.039
% 153.04/154.03  % sem_filter_time:                      0.
% 153.04/154.03  % pred_elim_time:                       0.
% 153.04/154.03  % out_proof_time:                       0.
% 153.04/154.03  % monotx_time:                          0.
% 153.04/154.03  % subtype_inf_time:                     0.
% 153.04/154.03  % unif_index_cands_time:                0.
% 153.04/154.03  % unif_index_add_time:                  0.001
% 153.04/154.03  % total_time:                           3.322
% 153.04/154.03  % num_of_symbols:                       122
% 153.04/154.03  % num_of_terms:                         3905
% 153.04/154.03  
% 153.04/154.03  % ------ Propositional Solver
% 153.04/154.03  
% 153.04/154.03  % prop_solver_calls:                    1
% 153.04/154.03  % prop_fast_solver_calls:               3
% 153.04/154.03  % prop_num_of_clauses:                  1515
% 153.04/154.03  % prop_preprocess_simplified:           4543
% 153.04/154.03  % prop_fo_subsumed:                     0
% 153.04/154.03  % prop_solver_time:                     0.
% 153.04/154.03  % prop_fast_solver_time:                0.
% 153.04/154.03  % prop_unsat_core_time:                 0.
% 153.04/154.03  
% 153.04/154.03  % ------ QBF 
% 153.04/154.03  
% 153.04/154.03  % qbf_q_res:                            0
% 153.04/154.03  % qbf_num_tautologies:                  0
% 153.04/154.03  % qbf_prep_cycles:                      0
% 153.04/154.03  
% 153.04/154.03  % ------ BMC1
% 153.04/154.03  
% 153.04/154.03  % bmc1_current_bound:                   -1
% 153.04/154.03  % bmc1_last_solved_bound:               -1
% 153.04/154.03  % bmc1_unsat_core_size:                 -1
% 153.04/154.03  % bmc1_unsat_core_parents_size:         -1
% 153.04/154.03  % bmc1_merge_next_fun:                  0
% 153.04/154.03  % bmc1_unsat_core_clauses_time:         0.
% 153.04/154.03  
% 153.04/154.03  % ------ Instantiation
% 153.04/154.03  
% 153.04/154.03  % inst_num_of_clauses:                  1396
% 153.04/154.03  % inst_num_in_passive:                  0
% 153.04/154.03  % inst_num_in_active:                   0
% 153.04/154.03  % inst_num_in_unprocessed:              1546
% 153.04/154.03  % inst_num_of_loops:                    0
% 153.04/154.03  % inst_num_of_learning_restarts:        0
% 153.04/154.03  % inst_num_moves_active_passive:        0
% 153.04/154.03  % inst_lit_activity:                    0
% 153.04/154.03  % inst_lit_activity_moves:              0
% 153.04/154.03  % inst_num_tautologies:                 0
% 153.04/154.03  % inst_num_prop_implied:                0
% 153.04/154.03  % inst_num_existing_simplified:         0
% 153.04/154.03  % inst_num_eq_res_simplified:           0
% 153.04/154.03  % inst_num_child_elim:                  0
% 153.04/154.03  % inst_num_of_dismatching_blockings:    0
% 153.04/154.03  % inst_num_of_non_proper_insts:         0
% 153.04/154.03  % inst_num_of_duplicates:               0
% 153.04/154.03  % inst_inst_num_from_inst_to_res:       0
% 153.04/154.03  % inst_dismatching_checking_time:       0.
% 153.04/154.03  
% 153.04/154.03  % ------ Resolution
% 153.04/154.03  
% 153.04/154.03  % res_num_of_clauses:                   1479
% 153.04/154.03  % res_num_in_passive:                   0
% 153.04/154.03  % res_num_in_active:                    586
% 153.04/154.03  % res_num_of_loops:                     2
% 153.04/154.03  % res_forward_subset_subsumed:          833
% 153.04/154.03  % res_backward_subset_subsumed:         0
% 153.04/154.03  % res_forward_subsumed:                 0
% 153.04/154.03  % res_backward_subsumed:                0
% 153.04/154.03  % res_forward_subsumption_resolution:   0
% 153.04/154.03  % res_backward_subsumption_resolution:  0
% 153.04/154.03  % res_clause_to_clause_subsumption:     0
% 153.04/154.03  % res_orphan_elimination:               0
% 153.04/154.03  % res_tautology_del:                    0
% 153.04/154.03  % res_num_eq_res_simplified:            0
% 153.04/154.03  % res_num_sel_changes:                  0
% 153.04/154.03  % res_moves_from_active_to_pass:        0
% 153.04/154.03  
% 153.04/154.03  % Status Unknown
% 153.04/154.03  % Last status :
% 153.04/154.03  % SZS status Unknown
%------------------------------------------------------------------------------