TSTP Solution File: LCL805-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL805-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n015.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 11:40:00 EDT 2022

% Result   : Unknown 156.48s 156.73s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL805-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 04:47:31 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.19/0.54  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.54  % Orientation found
% 0.19/0.54  % 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/sandbox2/tmp/iprover_proof_7e5f1f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_719f1e | grep -v "SZS"
% 0.19/0.56  
% 0.19/0.56  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.56  
% 0.19/0.56  % 
% 0.19/0.56  % ------  iProver source info 
% 0.19/0.56  
% 0.19/0.56  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.56  % git: non_committed_changes: true
% 0.19/0.56  % git: last_make_outside_of_git: true
% 0.19/0.56  
% 0.19/0.56  % 
% 0.19/0.56  % ------ Input Options
% 0.19/0.56  
% 0.19/0.56  % --out_options                         all
% 0.19/0.56  % --tptp_safe_out                       true
% 0.19/0.56  % --problem_path                        ""
% 0.19/0.56  % --include_path                        ""
% 0.19/0.56  % --clausifier                          .//eprover
% 0.19/0.56  % --clausifier_options                  --tstp-format  
% 0.19/0.56  % --stdin                               false
% 0.19/0.56  % --dbg_backtrace                       false
% 0.19/0.56  % --dbg_dump_prop_clauses               false
% 0.19/0.56  % --dbg_dump_prop_clauses_file          -
% 0.19/0.56  % --dbg_out_stat                        false
% 0.19/0.56  
% 0.19/0.56  % ------ General Options
% 0.19/0.56  
% 0.19/0.56  % --fof                                 false
% 0.19/0.56  % --time_out_real                       150.
% 0.19/0.56  % --time_out_prep_mult                  0.2
% 0.19/0.56  % --time_out_virtual                    -1.
% 0.19/0.56  % --schedule                            none
% 0.19/0.56  % --ground_splitting                    input
% 0.19/0.56  % --splitting_nvd                       16
% 0.19/0.56  % --non_eq_to_eq                        false
% 0.19/0.56  % --prep_gs_sim                         true
% 0.19/0.56  % --prep_unflatten                      false
% 0.19/0.56  % --prep_res_sim                        true
% 0.19/0.56  % --prep_upred                          true
% 0.19/0.56  % --res_sim_input                       true
% 0.19/0.56  % --clause_weak_htbl                    true
% 0.19/0.56  % --gc_record_bc_elim                   false
% 0.19/0.56  % --symbol_type_check                   false
% 0.19/0.56  % --clausify_out                        false
% 0.19/0.56  % --large_theory_mode                   false
% 0.19/0.56  % --prep_sem_filter                     none
% 0.19/0.56  % --prep_sem_filter_out                 false
% 0.19/0.56  % --preprocessed_out                    false
% 0.19/0.56  % --sub_typing                          false
% 0.19/0.56  % --brand_transform                     false
% 0.19/0.56  % --pure_diseq_elim                     true
% 0.19/0.56  % --min_unsat_core                      false
% 0.19/0.56  % --pred_elim                           true
% 0.19/0.56  % --add_important_lit                   false
% 0.19/0.56  % --soft_assumptions                    false
% 0.19/0.56  % --reset_solvers                       false
% 0.19/0.56  % --bc_imp_inh                          []
% 0.19/0.56  % --conj_cone_tolerance                 1.5
% 0.19/0.56  % --prolific_symb_bound                 500
% 0.19/0.56  % --lt_threshold                        2000
% 0.19/0.56  
% 0.19/0.56  % ------ SAT Options
% 0.19/0.56  
% 0.19/0.56  % --sat_mode                            false
% 0.19/0.56  % --sat_fm_restart_options              ""
% 0.19/0.56  % --sat_gr_def                          false
% 0.19/0.56  % --sat_epr_types                       true
% 0.19/0.56  % --sat_non_cyclic_types                false
% 0.19/0.56  % --sat_finite_models                   false
% 0.19/0.56  % --sat_fm_lemmas                       false
% 0.19/0.56  % --sat_fm_prep                         false
% 0.19/0.56  % --sat_fm_uc_incr                      true
% 0.19/0.56  % --sat_out_model                       small
% 0.19/0.56  % --sat_out_clauses                     false
% 0.19/0.56  
% 0.19/0.56  % ------ QBF Options
% 0.19/0.56  
% 0.19/0.56  % --qbf_mode                            false
% 0.19/0.56  % --qbf_elim_univ                       true
% 0.19/0.56  % --qbf_sk_in                           true
% 0.19/0.56  % --qbf_pred_elim                       true
% 0.19/0.56  % --qbf_split                           32
% 0.19/0.56  
% 0.19/0.56  % ------ BMC1 Options
% 0.19/0.56  
% 0.19/0.56  % --bmc1_incremental                    false
% 0.19/0.56  % --bmc1_axioms                         reachable_all
% 0.19/0.56  % --bmc1_min_bound                      0
% 0.19/0.56  % --bmc1_max_bound                      -1
% 0.19/0.56  % --bmc1_max_bound_default              -1
% 0.19/0.56  % --bmc1_symbol_reachability            true
% 0.19/0.56  % --bmc1_property_lemmas                false
% 0.19/0.56  % --bmc1_k_induction                    false
% 0.19/0.56  % --bmc1_non_equiv_states               false
% 0.19/0.56  % --bmc1_deadlock                       false
% 0.19/0.56  % --bmc1_ucm                            false
% 0.19/0.56  % --bmc1_add_unsat_core                 none
% 0.19/0.56  % --bmc1_unsat_core_children            false
% 0.19/0.56  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.56  % --bmc1_out_stat                       full
% 0.19/0.56  % --bmc1_ground_init                    false
% 0.19/0.56  % --bmc1_pre_inst_next_state            false
% 0.19/0.56  % --bmc1_pre_inst_state                 false
% 0.19/0.56  % --bmc1_pre_inst_reach_state           false
% 0.19/0.56  % --bmc1_out_unsat_core                 false
% 0.19/0.56  % --bmc1_aig_witness_out                false
% 0.19/0.56  % --bmc1_verbose                        false
% 0.19/0.56  % --bmc1_dump_clauses_tptp              false
% 4.86/5.16  % --bmc1_dump_unsat_core_tptp           false
% 4.86/5.16  % --bmc1_dump_file                      -
% 4.86/5.16  % --bmc1_ucm_expand_uc_limit            128
% 4.86/5.16  % --bmc1_ucm_n_expand_iterations        6
% 4.86/5.16  % --bmc1_ucm_extend_mode                1
% 4.86/5.16  % --bmc1_ucm_init_mode                  2
% 4.86/5.16  % --bmc1_ucm_cone_mode                  none
% 4.86/5.16  % --bmc1_ucm_reduced_relation_type      0
% 4.86/5.16  % --bmc1_ucm_relax_model                4
% 4.86/5.16  % --bmc1_ucm_full_tr_after_sat          true
% 4.86/5.16  % --bmc1_ucm_expand_neg_assumptions     false
% 4.86/5.16  % --bmc1_ucm_layered_model              none
% 4.86/5.16  % --bmc1_ucm_max_lemma_size             10
% 4.86/5.16  
% 4.86/5.16  % ------ AIG Options
% 4.86/5.16  
% 4.86/5.16  % --aig_mode                            false
% 4.86/5.16  
% 4.86/5.16  % ------ Instantiation Options
% 4.86/5.16  
% 4.86/5.16  % --instantiation_flag                  true
% 4.86/5.16  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.86/5.16  % --inst_solver_per_active              750
% 4.86/5.16  % --inst_solver_calls_frac              0.5
% 4.86/5.16  % --inst_passive_queue_type             priority_queues
% 4.86/5.16  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.86/5.16  % --inst_passive_queues_freq            [25;2]
% 4.86/5.16  % --inst_dismatching                    true
% 4.86/5.16  % --inst_eager_unprocessed_to_passive   true
% 4.86/5.16  % --inst_prop_sim_given                 true
% 4.86/5.16  % --inst_prop_sim_new                   false
% 4.86/5.16  % --inst_orphan_elimination             true
% 4.86/5.16  % --inst_learning_loop_flag             true
% 4.86/5.16  % --inst_learning_start                 3000
% 4.86/5.16  % --inst_learning_factor                2
% 4.86/5.16  % --inst_start_prop_sim_after_learn     3
% 4.86/5.16  % --inst_sel_renew                      solver
% 4.86/5.16  % --inst_lit_activity_flag              true
% 4.86/5.16  % --inst_out_proof                      true
% 4.86/5.16  
% 4.86/5.16  % ------ Resolution Options
% 4.86/5.16  
% 4.86/5.16  % --resolution_flag                     true
% 4.86/5.16  % --res_lit_sel                         kbo_max
% 4.86/5.16  % --res_to_prop_solver                  none
% 4.86/5.16  % --res_prop_simpl_new                  false
% 4.86/5.16  % --res_prop_simpl_given                false
% 4.86/5.16  % --res_passive_queue_type              priority_queues
% 4.86/5.16  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.86/5.16  % --res_passive_queues_freq             [15;5]
% 4.86/5.16  % --res_forward_subs                    full
% 4.86/5.16  % --res_backward_subs                   full
% 4.86/5.16  % --res_forward_subs_resolution         true
% 4.86/5.16  % --res_backward_subs_resolution        true
% 4.86/5.16  % --res_orphan_elimination              false
% 4.86/5.16  % --res_time_limit                      1000.
% 4.86/5.16  % --res_out_proof                       true
% 4.86/5.16  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_7e5f1f.s
% 4.86/5.16  % --modulo                              true
% 4.86/5.16  
% 4.86/5.16  % ------ Combination Options
% 4.86/5.16  
% 4.86/5.16  % --comb_res_mult                       1000
% 4.86/5.16  % --comb_inst_mult                      300
% 4.86/5.16  % ------ 
% 4.86/5.16  
% 4.86/5.16  % ------ Parsing...% successful
% 4.86/5.16  
% 4.86/5.16  % ------ 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 % 
% 4.86/5.16  
% 4.86/5.16  % ------ Proving...
% 4.86/5.16  % ------ Problem Properties 
% 4.86/5.16  
% 4.86/5.16  % 
% 4.86/5.16  % EPR                                   false
% 4.86/5.16  % Horn                                  false
% 4.86/5.16  % Has equality                          true
% 4.86/5.16  
% 4.86/5.16  % % ------ Input Options Time Limit: Unbounded
% 4.86/5.16  
% 4.86/5.16  
% 4.86/5.16  Compiling...
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% 5.47/5.76  % % ------ Current options:
% 5.47/5.76  
% 5.47/5.76  % ------ Input Options
% 5.47/5.76  
% 5.47/5.76  % --out_options                         all
% 5.47/5.76  % --tptp_safe_out                       true
% 5.47/5.76  % --problem_path                        ""
% 5.47/5.76  % --include_path                        ""
% 5.47/5.76  % --clausifier                          .//eprover
% 5.47/5.76  % --clausifier_options                  --tstp-format  
% 5.47/5.76  % --stdin                               false
% 5.47/5.76  % --dbg_backtrace                       false
% 5.47/5.76  % --dbg_dump_prop_clauses               false
% 5.47/5.76  % --dbg_dump_prop_clauses_file          -
% 5.47/5.76  % --dbg_out_stat                        false
% 5.47/5.76  
% 5.47/5.76  % ------ General Options
% 5.47/5.76  
% 5.47/5.76  % --fof                                 false
% 5.47/5.76  % --time_out_real                       150.
% 5.47/5.76  % --time_out_prep_mult                  0.2
% 5.47/5.76  % --time_out_virtual                    -1.
% 5.47/5.76  % --schedule                            none
% 5.47/5.76  % --ground_splitting                    input
% 5.47/5.76  % --splitting_nvd                       16
% 5.47/5.76  % --non_eq_to_eq                        false
% 5.47/5.76  % --prep_gs_sim                         true
% 5.47/5.76  % --prep_unflatten                      false
% 5.47/5.76  % --prep_res_sim                        true
% 5.47/5.76  % --prep_upred                          true
% 5.47/5.76  % --res_sim_input                       true
% 5.47/5.76  % --clause_weak_htbl                    true
% 5.47/5.76  % --gc_record_bc_elim                   false
% 5.47/5.76  % --symbol_type_check                   false
% 5.47/5.76  % --clausify_out                        false
% 5.47/5.76  % --large_theory_mode                   false
% 5.47/5.76  % --prep_sem_filter                     none
% 5.47/5.76  % --prep_sem_filter_out                 false
% 5.47/5.76  % --preprocessed_out                    false
% 5.47/5.76  % --sub_typing                          false
% 5.47/5.76  % --brand_transform                     false
% 5.47/5.76  % --pure_diseq_elim                     true
% 5.47/5.76  % --min_unsat_core                      false
% 5.47/5.76  % --pred_elim                           true
% 5.47/5.76  % --add_important_lit                   false
% 5.47/5.76  % --soft_assumptions                    false
% 5.47/5.76  % --reset_solvers                       false
% 5.47/5.76  % --bc_imp_inh                          []
% 5.47/5.76  % --conj_cone_tolerance                 1.5
% 5.47/5.76  % --prolific_symb_bound                 500
% 5.47/5.76  % --lt_threshold                        2000
% 5.47/5.76  
% 5.47/5.76  % ------ SAT Options
% 5.47/5.76  
% 5.47/5.76  % --sat_mode                            false
% 5.47/5.76  % --sat_fm_restart_options              ""
% 5.47/5.76  % --sat_gr_def                          false
% 5.47/5.76  % --sat_epr_types                       true
% 5.47/5.76  % --sat_non_cyclic_types                false
% 5.47/5.76  % --sat_finite_models                   false
% 5.47/5.76  % --sat_fm_lemmas                       false
% 5.47/5.76  % --sat_fm_prep                         false
% 5.47/5.76  % --sat_fm_uc_incr                      true
% 5.47/5.76  % --sat_out_model                       small
% 5.47/5.76  % --sat_out_clauses                     false
% 5.47/5.76  
% 5.47/5.76  % ------ QBF Options
% 5.47/5.76  
% 5.47/5.76  % --qbf_mode                            false
% 5.47/5.76  % --qbf_elim_univ                       true
% 5.47/5.76  % --qbf_sk_in                           true
% 5.47/5.76  % --qbf_pred_elim                       true
% 5.47/5.76  % --qbf_split                           32
% 5.47/5.76  
% 5.47/5.76  % ------ BMC1 Options
% 5.47/5.76  
% 5.47/5.76  % --bmc1_incremental                    false
% 5.47/5.76  % --bmc1_axioms                         reachable_all
% 5.47/5.76  % --bmc1_min_bound                      0
% 5.47/5.76  % --bmc1_max_bound                      -1
% 5.47/5.76  % --bmc1_max_bound_default              -1
% 5.47/5.76  % --bmc1_symbol_reachability            true
% 5.47/5.76  % --bmc1_property_lemmas                false
% 5.47/5.76  % --bmc1_k_induction                    false
% 5.47/5.76  % --bmc1_non_equiv_states               false
% 5.47/5.76  % --bmc1_deadlock                       false
% 5.47/5.76  % --bmc1_ucm                            false
% 5.47/5.76  % --bmc1_add_unsat_core                 none
% 5.47/5.76  % --bmc1_unsat_core_children            false
% 5.47/5.76  % --bmc1_unsat_core_extrapolate_axioms  false
% 5.47/5.76  % --bmc1_out_stat                       full
% 5.47/5.76  % --bmc1_ground_init                    false
% 5.47/5.76  % --bmc1_pre_inst_next_state            false
% 5.47/5.76  % --bmc1_pre_inst_state                 false
% 5.47/5.76  % --bmc1_pre_inst_reach_state           false
% 5.47/5.76  % --bmc1_out_unsat_core                 false
% 5.47/5.76  % --bmc1_aig_witness_out                false
% 5.47/5.76  % --bmc1_verbose                        false
% 5.47/5.76  % --bmc1_dump_clauses_tptp              false
% 5.47/5.76  % --bmc1_dump_unsat_core_tptp           false
% 5.47/5.76  % --bmc1_dump_file                      -
% 5.47/5.76  % --bmc1_ucm_expand_uc_limit            128
% 150.24/150.56  % --bmc1_ucm_n_expand_iterations        6
% 150.24/150.56  % --bmc1_ucm_extend_mode                1
% 150.24/150.56  % --bmc1_ucm_init_mode                  2
% 150.24/150.56  % --bmc1_ucm_cone_mode                  none
% 150.24/150.56  % --bmc1_ucm_reduced_relation_type      0
% 150.24/150.56  % --bmc1_ucm_relax_model                4
% 150.24/150.56  % --bmc1_ucm_full_tr_after_sat          true
% 150.24/150.56  % --bmc1_ucm_expand_neg_assumptions     false
% 150.24/150.56  % --bmc1_ucm_layered_model              none
% 150.24/150.56  % --bmc1_ucm_max_lemma_size             10
% 150.24/150.56  
% 150.24/150.56  % ------ AIG Options
% 150.24/150.56  
% 150.24/150.56  % --aig_mode                            false
% 150.24/150.56  
% 150.24/150.56  % ------ Instantiation Options
% 150.24/150.56  
% 150.24/150.56  % --instantiation_flag                  true
% 150.24/150.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.24/150.56  % --inst_solver_per_active              750
% 150.24/150.56  % --inst_solver_calls_frac              0.5
% 150.24/150.56  % --inst_passive_queue_type             priority_queues
% 150.24/150.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.24/150.56  % --inst_passive_queues_freq            [25;2]
% 150.24/150.56  % --inst_dismatching                    true
% 150.24/150.56  % --inst_eager_unprocessed_to_passive   true
% 150.24/150.56  % --inst_prop_sim_given                 true
% 150.24/150.56  % --inst_prop_sim_new                   false
% 150.24/150.56  % --inst_orphan_elimination             true
% 150.24/150.56  % --inst_learning_loop_flag             true
% 150.24/150.56  % --inst_learning_start                 3000
% 150.24/150.56  % --inst_learning_factor                2
% 150.24/150.56  % --inst_start_prop_sim_after_learn     3
% 150.24/150.56  % --inst_sel_renew                      solver
% 150.24/150.56  % --inst_lit_activity_flag              true
% 150.24/150.56  % --inst_out_proof                      true
% 150.24/150.56  
% 150.24/150.56  % ------ Resolution Options
% 150.24/150.56  
% 150.24/150.56  % --resolution_flag                     true
% 150.24/150.56  % --res_lit_sel                         kbo_max
% 150.24/150.56  % --res_to_prop_solver                  none
% 150.24/150.56  % --res_prop_simpl_new                  false
% 150.24/150.56  % --res_prop_simpl_given                false
% 150.24/150.56  % --res_passive_queue_type              priority_queues
% 150.24/150.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.24/150.56  % --res_passive_queues_freq             [15;5]
% 150.24/150.56  % --res_forward_subs                    full
% 150.24/150.56  % --res_backward_subs                   full
% 150.24/150.56  % --res_forward_subs_resolution         true
% 150.24/150.56  % --res_backward_subs_resolution        true
% 150.24/150.56  % --res_orphan_elimination              false
% 150.24/150.56  % --res_time_limit                      1000.
% 150.24/150.56  % --res_out_proof                       true
% 150.24/150.56  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_7e5f1f.s
% 150.24/150.56  % --modulo                              true
% 150.24/150.56  
% 150.24/150.56  % ------ Combination Options
% 150.24/150.56  
% 150.24/150.56  % --comb_res_mult                       1000
% 150.24/150.56  % --comb_inst_mult                      300
% 150.24/150.56  % ------ 
% 150.24/150.56  
% 150.24/150.56  
% 150.24/150.56  
% 150.24/150.56  % ------ Proving...
% 150.24/150.56  % 
% 150.24/150.56  
% 150.24/150.56  
% 150.24/150.56  % Time Out Real
% 150.24/150.56  
% 150.24/150.56  % ------                             Statistics
% 150.24/150.56  
% 150.24/150.56  % ------ General
% 150.24/150.56  
% 150.24/150.56  % num_of_input_clauses:                 1904
% 150.24/150.56  % num_of_input_neg_conjectures:         1
% 150.24/150.56  % num_of_splits:                        0
% 150.24/150.56  % num_of_split_atoms:                   0
% 150.24/150.56  % num_of_sem_filtered_clauses:          0
% 150.24/150.56  % num_of_subtypes:                      0
% 150.24/150.56  % monotx_restored_types:                0
% 150.24/150.56  % sat_num_of_epr_types:                 0
% 150.24/150.56  % sat_num_of_non_cyclic_types:          0
% 150.24/150.56  % sat_guarded_non_collapsed_types:      0
% 150.24/150.56  % is_epr:                               0
% 150.24/150.56  % is_horn:                              0
% 150.24/150.56  % has_eq:                               1
% 150.24/150.56  % num_pure_diseq_elim:                  0
% 150.24/150.56  % simp_replaced_by:                     2
% 150.24/150.56  % res_preprocessed:                     2
% 150.24/150.56  % prep_upred:                           0
% 150.24/150.56  % prep_unflattend:                      0
% 150.24/150.56  % pred_elim_cands:                      0
% 150.24/150.56  % pred_elim:                            0
% 150.24/150.56  % pred_elim_cl:                         0
% 150.24/150.56  % pred_elim_cycles:                     0
% 150.24/150.56  % forced_gc_time:                       0
% 150.24/150.56  % gc_basic_clause_elim:                 0
% 150.24/150.56  % parsing_time:                         0.104
% 150.24/150.56  % sem_filter_time:                      0.
% 150.24/150.56  % pred_elim_time:                       0.
% 150.24/150.56  % out_proof_time:                       0.
% 150.24/150.56  % monotx_time:                          0.
% 150.24/150.56  % subtype_inf_time:                     0.
% 150.24/150.56  % unif_index_cands_time:                0.291
% 150.24/150.56  % unif_index_add_time:                  0.137
% 150.24/150.56  % total_time:                           150.017
% 150.24/150.56  % num_of_symbols:                       163
% 150.24/150.57  % num_of_terms:                         484762
% 150.24/150.57  
% 150.24/150.57  % ------ Propositional Solver
% 150.24/150.57  
% 150.24/150.57  % prop_solver_calls:                    24
% 150.24/150.57  % prop_fast_solver_calls:               3
% 150.24/150.57  % prop_num_of_clauses:                  81810
% 150.24/150.57  % prop_preprocess_simplified:           105019
% 150.24/150.57  % prop_fo_subsumed:                     0
% 150.24/150.57  % prop_solver_time:                     0.036
% 150.24/150.57  % prop_fast_solver_time:                0.
% 150.24/150.57  % prop_unsat_core_time:                 0.
% 150.24/150.57  
% 150.24/150.57  % ------ QBF 
% 150.24/150.57  
% 150.24/150.57  % qbf_q_res:                            0
% 150.24/150.57  % qbf_num_tautologies:                  0
% 150.24/150.57  % qbf_prep_cycles:                      0
% 150.24/150.57  
% 150.24/150.57  % ------ BMC1
% 150.24/150.57  
% 150.24/150.57  % bmc1_current_bound:                   -1
% 150.24/150.57  % bmc1_last_solved_bound:               -1
% 150.24/150.57  % bmc1_unsat_core_size:                 -1
% 150.24/150.57  % bmc1_unsat_core_parents_size:         -1
% 150.24/150.57  % bmc1_merge_next_fun:                  0
% 150.24/150.57  % bmc1_unsat_core_clauses_time:         0.
% 150.24/150.57  
% 150.24/150.57  % ------ Instantiation
% 150.24/150.57  
% 150.24/150.57  % inst_num_of_clauses:                  33769
% 150.24/150.57  % inst_num_in_passive:                  29667
% 150.24/150.57  % inst_num_in_active:                   3968
% 150.24/150.57  % inst_num_in_unprocessed:              132
% 150.24/150.57  % inst_num_of_loops:                    4199
% 150.24/150.57  % inst_num_of_learning_restarts:        1
% 150.24/150.57  % inst_num_moves_active_passive:        228
% 150.24/150.57  % inst_lit_activity:                    18851
% 150.24/150.57  % inst_lit_activity_moves:              2
% 150.24/150.57  % inst_num_tautologies:                 2
% 150.24/150.57  % inst_num_prop_implied:                0
% 150.24/150.57  % inst_num_existing_simplified:         0
% 150.24/150.57  % inst_num_eq_res_simplified:           0
% 150.24/150.57  % inst_num_child_elim:                  0
% 150.24/150.57  % inst_num_of_dismatching_blockings:    46737
% 150.24/150.57  % inst_num_of_non_proper_insts:         34428
% 150.24/150.57  % inst_num_of_duplicates:               49840
% 150.24/150.57  % inst_inst_num_from_inst_to_res:       0
% 150.24/150.57  % inst_dismatching_checking_time:       3.33
% 150.24/150.57  
% 150.24/150.57  % ------ Resolution
% 150.24/150.57  
% 150.24/150.57  % res_num_of_clauses:                   213980
% 150.24/150.57  % res_num_in_passive:                   195308
% 150.24/150.57  % res_num_in_active:                    17506
% 150.24/150.57  % res_num_of_loops:                     24539
% 150.24/150.57  % res_forward_subset_subsumed:          62561
% 150.24/150.57  % res_backward_subset_subsumed:         168
% 150.24/150.57  % res_forward_subsumed:                 7534
% 150.24/150.57  % res_backward_subsumed:                18
% 150.24/150.57  % res_forward_subsumption_resolution:   1635
% 150.24/150.57  % res_backward_subsumption_resolution:  0
% 150.24/150.57  % res_clause_to_clause_subsumption:     679422
% 150.24/150.57  % res_orphan_elimination:               0
% 150.24/150.57  % res_tautology_del:                    0
% 150.24/150.57  % res_num_eq_res_simplified:            0
% 150.24/150.57  % res_num_sel_changes:                  0
% 150.24/150.57  % res_moves_from_active_to_pass:        0
% 150.24/150.57  
% 150.24/150.57  % Status Unknown
% 150.39/150.70  % Orienting using strategy ClausalAll
% 150.39/150.70  % Orientation found
% 150.39/150.70  % 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/sandbox2/tmp/iprover_proof_7e5f1f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0fbcf6 | grep -v "SZS"
% 150.53/150.73  
% 150.53/150.73  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.53/150.73  
% 150.53/150.73  % 
% 150.53/150.73  % ------  iProver source info 
% 150.53/150.73  
% 150.53/150.73  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.53/150.73  % git: non_committed_changes: true
% 150.53/150.73  % git: last_make_outside_of_git: true
% 150.53/150.73  
% 150.53/150.73  % 
% 150.53/150.73  % ------ Input Options
% 150.53/150.73  
% 150.53/150.73  % --out_options                         all
% 150.53/150.73  % --tptp_safe_out                       true
% 150.53/150.73  % --problem_path                        ""
% 150.53/150.73  % --include_path                        ""
% 150.53/150.73  % --clausifier                          .//eprover
% 150.53/150.73  % --clausifier_options                  --tstp-format  
% 150.53/150.73  % --stdin                               false
% 150.53/150.73  % --dbg_backtrace                       false
% 150.53/150.73  % --dbg_dump_prop_clauses               false
% 150.53/150.73  % --dbg_dump_prop_clauses_file          -
% 150.53/150.73  % --dbg_out_stat                        false
% 150.53/150.73  
% 150.53/150.73  % ------ General Options
% 150.53/150.73  
% 150.53/150.73  % --fof                                 false
% 150.53/150.73  % --time_out_real                       150.
% 150.53/150.73  % --time_out_prep_mult                  0.2
% 150.53/150.73  % --time_out_virtual                    -1.
% 150.53/150.73  % --schedule                            none
% 150.53/150.73  % --ground_splitting                    input
% 150.53/150.73  % --splitting_nvd                       16
% 150.53/150.73  % --non_eq_to_eq                        false
% 150.53/150.73  % --prep_gs_sim                         true
% 150.53/150.73  % --prep_unflatten                      false
% 150.53/150.73  % --prep_res_sim                        true
% 150.53/150.73  % --prep_upred                          true
% 150.53/150.73  % --res_sim_input                       true
% 150.53/150.73  % --clause_weak_htbl                    true
% 150.53/150.73  % --gc_record_bc_elim                   false
% 150.53/150.73  % --symbol_type_check                   false
% 150.53/150.73  % --clausify_out                        false
% 150.53/150.73  % --large_theory_mode                   false
% 150.53/150.73  % --prep_sem_filter                     none
% 150.53/150.73  % --prep_sem_filter_out                 false
% 150.53/150.73  % --preprocessed_out                    false
% 150.53/150.73  % --sub_typing                          false
% 150.53/150.73  % --brand_transform                     false
% 150.53/150.73  % --pure_diseq_elim                     true
% 150.53/150.73  % --min_unsat_core                      false
% 150.53/150.73  % --pred_elim                           true
% 150.53/150.73  % --add_important_lit                   false
% 150.53/150.73  % --soft_assumptions                    false
% 150.53/150.73  % --reset_solvers                       false
% 150.53/150.73  % --bc_imp_inh                          []
% 150.53/150.73  % --conj_cone_tolerance                 1.5
% 150.53/150.73  % --prolific_symb_bound                 500
% 150.53/150.73  % --lt_threshold                        2000
% 150.53/150.73  
% 150.53/150.73  % ------ SAT Options
% 150.53/150.73  
% 150.53/150.73  % --sat_mode                            false
% 150.53/150.73  % --sat_fm_restart_options              ""
% 150.53/150.73  % --sat_gr_def                          false
% 150.53/150.73  % --sat_epr_types                       true
% 150.53/150.73  % --sat_non_cyclic_types                false
% 150.53/150.73  % --sat_finite_models                   false
% 150.53/150.73  % --sat_fm_lemmas                       false
% 150.53/150.73  % --sat_fm_prep                         false
% 150.53/150.73  % --sat_fm_uc_incr                      true
% 150.53/150.73  % --sat_out_model                       small
% 150.53/150.73  % --sat_out_clauses                     false
% 150.53/150.73  
% 150.53/150.73  % ------ QBF Options
% 150.53/150.73  
% 150.53/150.73  % --qbf_mode                            false
% 150.53/150.73  % --qbf_elim_univ                       true
% 150.53/150.73  % --qbf_sk_in                           true
% 150.53/150.73  % --qbf_pred_elim                       true
% 150.53/150.73  % --qbf_split                           32
% 150.53/150.73  
% 150.53/150.73  % ------ BMC1 Options
% 150.53/150.73  
% 150.53/150.73  % --bmc1_incremental                    false
% 150.53/150.73  % --bmc1_axioms                         reachable_all
% 150.53/150.73  % --bmc1_min_bound                      0
% 150.53/150.73  % --bmc1_max_bound                      -1
% 150.53/150.73  % --bmc1_max_bound_default              -1
% 150.53/150.73  % --bmc1_symbol_reachability            true
% 150.53/150.73  % --bmc1_property_lemmas                false
% 150.53/150.73  % --bmc1_k_induction                    false
% 150.53/150.73  % --bmc1_non_equiv_states               false
% 150.53/150.73  % --bmc1_deadlock                       false
% 150.53/150.73  % --bmc1_ucm                            false
% 150.53/150.73  % --bmc1_add_unsat_core                 none
% 150.53/150.73  % --bmc1_unsat_core_children            false
% 150.53/150.73  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.53/150.73  % --bmc1_out_stat                       full
% 150.53/150.73  % --bmc1_ground_init                    false
% 150.53/150.73  % --bmc1_pre_inst_next_state            false
% 150.53/150.73  % --bmc1_pre_inst_state                 false
% 150.53/150.73  % --bmc1_pre_inst_reach_state           false
% 150.53/150.73  % --bmc1_out_unsat_core                 false
% 150.53/150.73  % --bmc1_aig_witness_out                false
% 150.53/150.73  % --bmc1_verbose                        false
% 150.53/150.73  % --bmc1_dump_clauses_tptp              false
% 156.37/156.64  % --bmc1_dump_unsat_core_tptp           false
% 156.37/156.64  % --bmc1_dump_file                      -
% 156.37/156.64  % --bmc1_ucm_expand_uc_limit            128
% 156.37/156.64  % --bmc1_ucm_n_expand_iterations        6
% 156.37/156.64  % --bmc1_ucm_extend_mode                1
% 156.37/156.64  % --bmc1_ucm_init_mode                  2
% 156.37/156.64  % --bmc1_ucm_cone_mode                  none
% 156.37/156.64  % --bmc1_ucm_reduced_relation_type      0
% 156.37/156.64  % --bmc1_ucm_relax_model                4
% 156.37/156.64  % --bmc1_ucm_full_tr_after_sat          true
% 156.37/156.64  % --bmc1_ucm_expand_neg_assumptions     false
% 156.37/156.64  % --bmc1_ucm_layered_model              none
% 156.37/156.64  % --bmc1_ucm_max_lemma_size             10
% 156.37/156.64  
% 156.37/156.64  % ------ AIG Options
% 156.37/156.64  
% 156.37/156.64  % --aig_mode                            false
% 156.37/156.64  
% 156.37/156.64  % ------ Instantiation Options
% 156.37/156.64  
% 156.37/156.64  % --instantiation_flag                  true
% 156.37/156.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 156.37/156.64  % --inst_solver_per_active              750
% 156.37/156.64  % --inst_solver_calls_frac              0.5
% 156.37/156.64  % --inst_passive_queue_type             priority_queues
% 156.37/156.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 156.37/156.64  % --inst_passive_queues_freq            [25;2]
% 156.37/156.64  % --inst_dismatching                    true
% 156.37/156.64  % --inst_eager_unprocessed_to_passive   true
% 156.37/156.64  % --inst_prop_sim_given                 true
% 156.37/156.64  % --inst_prop_sim_new                   false
% 156.37/156.64  % --inst_orphan_elimination             true
% 156.37/156.64  % --inst_learning_loop_flag             true
% 156.37/156.64  % --inst_learning_start                 3000
% 156.37/156.64  % --inst_learning_factor                2
% 156.37/156.64  % --inst_start_prop_sim_after_learn     3
% 156.37/156.64  % --inst_sel_renew                      solver
% 156.37/156.64  % --inst_lit_activity_flag              true
% 156.37/156.64  % --inst_out_proof                      true
% 156.37/156.64  
% 156.37/156.64  % ------ Resolution Options
% 156.37/156.64  
% 156.37/156.64  % --resolution_flag                     true
% 156.37/156.64  % --res_lit_sel                         kbo_max
% 156.37/156.64  % --res_to_prop_solver                  none
% 156.37/156.64  % --res_prop_simpl_new                  false
% 156.37/156.64  % --res_prop_simpl_given                false
% 156.37/156.64  % --res_passive_queue_type              priority_queues
% 156.37/156.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 156.37/156.64  % --res_passive_queues_freq             [15;5]
% 156.37/156.64  % --res_forward_subs                    full
% 156.37/156.64  % --res_backward_subs                   full
% 156.37/156.64  % --res_forward_subs_resolution         true
% 156.37/156.64  % --res_backward_subs_resolution        true
% 156.37/156.64  % --res_orphan_elimination              false
% 156.37/156.64  % --res_time_limit                      1000.
% 156.37/156.64  % --res_out_proof                       true
% 156.37/156.64  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_7e5f1f.s
% 156.37/156.64  % --modulo                              true
% 156.37/156.64  
% 156.37/156.64  % ------ Combination Options
% 156.37/156.64  
% 156.37/156.64  % --comb_res_mult                       1000
% 156.37/156.64  % --comb_inst_mult                      300
% 156.37/156.64  % ------ 
% 156.37/156.64  
% 156.37/156.64  % ------ Parsing...% successful
% 156.37/156.64  
% 156.37/156.64  % ------ 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 % 
% 156.37/156.64  
% 156.37/156.64  % ------ Proving...
% 156.37/156.64  % ------ Problem Properties 
% 156.37/156.64  
% 156.37/156.64  % 
% 156.37/156.64  % EPR                                   false
% 156.37/156.64  % Horn                                  false
% 156.37/156.64  % Has equality                          true
% 156.37/156.64  
% 156.37/156.64  % % ------ Input Options Time Limit: Unbounded
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
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% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  Compiling...
% 156.37/156.64  Loading plugin: done.
% 156.37/156.64  % % ------ Current options:
% 156.37/156.64  
% 156.37/156.64  % ------ Input Options
% 156.37/156.64  
% 156.37/156.64  % --out_options                         all
% 156.37/156.64  % --tptp_safe_out                       true
% 156.37/156.64  % --problem_path                        ""
% 156.37/156.64  % --include_path                        ""
% 156.37/156.64  % --clausifier                          .//eprover
% 156.37/156.64  % --clausifier_options                  --tstp-format  
% 156.37/156.64  % --stdin                               false
% 156.37/156.64  % --dbg_backtrace                       false
% 156.37/156.64  % --dbg_dump_prop_clauses               false
% 156.37/156.64  % --dbg_dump_prop_clauses_file          -
% 156.37/156.64  % --dbg_out_stat                        false
% 156.37/156.64  
% 156.37/156.64  % ------ General Options
% 156.37/156.64  
% 156.37/156.64  % --fof                                 false
% 156.37/156.64  % --time_out_real                       150.
% 156.37/156.64  % --time_out_prep_mult                  0.2
% 156.37/156.64  % --time_out_virtual                    -1.
% 156.37/156.64  % --schedule                            none
% 156.37/156.64  % --ground_splitting                    input
% 156.37/156.64  % --splitting_nvd                       16
% 156.37/156.64  % --non_eq_to_eq                        false
% 156.37/156.64  % --prep_gs_sim                         true
% 156.37/156.64  % --prep_unflatten                      false
% 156.37/156.64  % --prep_res_sim                        true
% 156.37/156.64  % --prep_upred                          true
% 156.37/156.64  % --res_sim_input                       true
% 156.37/156.64  % --clause_weak_htbl                    true
% 156.37/156.64  % --gc_record_bc_elim                   false
% 156.37/156.64  % --symbol_type_check                   false
% 156.37/156.64  % --clausify_out                        false
% 156.37/156.64  % --large_theory_mode                   false
% 156.37/156.64  % --prep_sem_filter                     none
% 156.37/156.64  % --prep_sem_filter_out                 false
% 156.37/156.64  % --preprocessed_out                    false
% 156.37/156.64  % --sub_typing                          false
% 156.37/156.64  % --brand_transform                     false
% 156.37/156.64  % --pure_diseq_elim                     true
% 156.37/156.64  % --min_unsat_core                      false
% 156.37/156.64  % --pred_elim                           true
% 156.37/156.64  % --add_important_lit                   false
% 156.37/156.64  % --soft_assumptions                    false
% 156.37/156.64  % --reset_solvers                       false
% 156.37/156.64  % --bc_imp_inh                          []
% 156.37/156.64  % --conj_cone_tolerance                 1.5
% 156.37/156.64  % --prolific_symb_bound                 500
% 156.37/156.64  % --lt_threshold                        2000
% 156.37/156.64  
% 156.37/156.64  % ------ SAT Options
% 156.37/156.64  
% 156.37/156.64  % --sat_mode                            false
% 156.37/156.64  % --sat_fm_restart_options              ""
% 156.37/156.64  % --sat_gr_def                          false
% 156.37/156.64  % --sat_epr_types                       true
% 156.37/156.64  % --sat_non_cyclic_types                false
% 156.37/156.64  % --sat_finite_models                   false
% 156.37/156.64  % --sat_fm_lemmas                       false
% 156.37/156.64  % --sat_fm_prep                         false
% 156.37/156.64  % --sat_fm_uc_incr                      true
% 156.37/156.64  % --sat_out_model                       small
% 156.37/156.64  % --sat_out_clauses                     false
% 156.37/156.64  
% 156.37/156.64  % ------ QBF Options
% 156.37/156.64  
% 156.37/156.64  % --qbf_mode                            false
% 156.37/156.64  % --qbf_elim_univ                       true
% 156.37/156.64  % --qbf_sk_in                           true
% 156.37/156.64  % --qbf_pred_elim                       true
% 156.37/156.64  % --qbf_split                           32
% 156.37/156.64  
% 156.37/156.64  % ------ BMC1 Options
% 156.37/156.64  
% 156.37/156.64  % --bmc1_incremental                    false
% 156.37/156.64  % --bmc1_axioms                         reachable_all
% 156.37/156.64  % --bmc1_min_bound                      0
% 156.37/156.64  % --bmc1_max_bound                      -1
% 156.37/156.64  % --bmc1_max_bound_default              -1
% 156.37/156.64  % --bmc1_symbol_reachability            true
% 156.37/156.64  % --bmc1_property_lemmas                false
% 156.37/156.64  % --bmc1_k_induction                    false
% 156.37/156.64  % --bmc1_non_equiv_states               false
% 156.37/156.64  % --bmc1_deadlock                       false
% 156.37/156.64  % --bmc1_ucm                            false
% 156.37/156.64  % --bmc1_add_unsat_core                 none
% 156.37/156.64  % --bmc1_unsat_core_children            false
% 156.37/156.64  % --bmc1_unsat_core_extrapolate_axioms  false
% 156.37/156.64  % --bmc1_out_stat                       full
% 156.37/156.64  % --bmc1_ground_init                    false
% 156.37/156.64  % --bmc1_pre_inst_next_state            false
% 156.37/156.64  % --bmc1_pre_inst_state                 false
% 156.37/156.64  % --bmc1_pre_inst_reach_state           false
% 156.37/156.64  % --bmc1_out_unsat_core                 false
% 156.37/156.64  % --bmc1_aig_witness_out                false
% 156.37/156.64  % --bmc1_verbose                        false
% 156.37/156.64  % --bmc1_dump_clauses_tptp              false
% 156.37/156.64  % --bmc1_dump_unsat_core_tptp           false
% 156.37/156.64  % --bmc1_dump_file                      -
% 156.37/156.64  % --bmc1_ucm_expand_uc_limit            128
% 156.37/156.64  % --bmc1_ucm_n_expand_iterations        6
% 156.37/156.64  % --bmc1_ucm_extend_mode                1
% 156.37/156.64  % --bmc1_ucm_init_mode                  2
% 156.37/156.64  % --bmc1_ucm_cone_mode                  none
% 156.37/156.64  % --bmc1_ucm_reduced_relation_type      0
% 156.37/156.64  % --bmc1_ucm_relax_model                4
% 156.37/156.64  % --bmc1_ucm_full_tr_after_sat          true
% 156.37/156.64  % --bmc1_ucm_expand_neg_assumptions     false
% 156.37/156.64  % --bmc1_ucm_layered_model              none
% 156.37/156.64  % --bmc1_ucm_max_lemma_size             10
% 156.37/156.64  
% 156.37/156.64  % ------ AIG Options
% 156.37/156.64  
% 156.37/156.64  % --aig_mode                            false
% 156.37/156.64  
% 156.37/156.64  % ------ Instantiation Options
% 156.37/156.64  
% 156.37/156.64  % --instantiation_flag                  true
% 156.37/156.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 156.37/156.64  % --inst_solver_per_active              750
% 156.37/156.64  % --inst_solver_calls_frac              0.5
% 156.37/156.64  % --inst_passive_queue_type             priority_queues
% 156.37/156.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 156.37/156.64  % --inst_passive_queues_freq            [25;2]
% 156.37/156.64  % --inst_dismatching                    true
% 156.37/156.64  % --inst_eager_unprocessed_to_passive   true
% 156.37/156.64  % --inst_prop_sim_given                 true
% 156.37/156.64  % --inst_prop_sim_new                   false
% 156.37/156.64  % --inst_orphan_elimination             true
% 156.37/156.64  % --inst_learning_loop_flag             true
% 156.37/156.64  % --inst_learning_start                 3000
% 156.37/156.64  % --inst_learning_factor                2
% 156.37/156.64  % --inst_start_prop_sim_after_learn     3
% 156.37/156.64  % --inst_sel_renew                      solver
% 156.37/156.64  % --inst_lit_activity_flag              true
% 156.37/156.64  % --inst_out_proof                      true
% 156.37/156.64  
% 156.37/156.64  % ------ Resolution Options
% 156.37/156.64  
% 156.37/156.64  % --resolution_flag                     true
% 156.37/156.64  % --res_lit_sel                         kbo_max
% 156.37/156.64  % --res_to_prop_solver                  none
% 156.37/156.64  % --res_prop_simpl_new                  false
% 156.37/156.64  % --res_prop_simpl_given                false
% 156.37/156.64  % --res_passive_queue_type              priority_queues
% 156.37/156.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 156.37/156.64  % --res_passive_queues_freq             [15;5]
% 156.37/156.64  % --res_forward_subs                    full
% 156.37/156.64  % --res_backward_subs                   full
% 156.37/156.64  % --res_forward_subs_resolution         true
% 156.37/156.64  % --res_backward_subs_resolution        true
% 156.37/156.64  % --res_orphan_elimination              false
% 156.37/156.64  % --res_time_limit                      1000.
% 156.37/156.64  % --res_out_proof                       true
% 156.37/156.64  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_7e5f1f.s
% 156.37/156.64  % --modulo                              true
% 156.37/156.64  
% 156.37/156.64  % ------ Combination Options
% 156.37/156.64  
% 156.37/156.64  % --comb_res_mult                       1000
% 156.37/156.64  % --comb_inst_mult                      300
% 156.37/156.64  % ------ 
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  % ------ Proving...
% 156.37/156.64  % warning:  shown sat in sat incomplete mode 
% 156.37/156.64  % 
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  
% 156.37/156.64  cnf(c_1903,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_2543,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1903]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_2547,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_2543]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_2548,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_2547]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_2549,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_2548]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8086,negated_conjecture,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_2549]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8087,plain,
% 156.37/156.64      ( ~ 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_8086]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1900,plain,
% 156.37/156.64      ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.64      | ~ c_Type_Otyping(X0,X1,X5)
% 156.37/156.64      | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3673_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8080,plain,
% 156.37/156.64      ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.64      | ~ c_Type_Otyping(X0,X1,X5)
% 156.37/156.64      | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1900]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8081,plain,
% 156.37/156.64      ( ~ c_Type_Otyping(X0,X1,X2)
% 156.37/156.64      | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 156.37/156.64      | c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_8080]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1896,plain,
% 156.37/156.64      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 156.37/156.64      | ~ c_Type_Otypings(X0,X5,X6)
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3674_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8072,plain,
% 156.37/156.64      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 156.37/156.64      | ~ c_Type_Otypings(X0,X5,X6)
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1896]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8073,plain,
% 156.37/156.64      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 156.37/156.64      | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 156.37/156.64      | ~ c_Type_Otypings(X0,X2,X6) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_8072]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1893,plain,
% 156.37/156.64      ( 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)))
% 156.37/156.64      | ~ 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)))
% 156.37/156.64      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3675_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8066,plain,
% 156.37/156.64      ( 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)))
% 156.37/156.64      | ~ 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)))
% 156.37/156.64      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1893]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8067,plain,
% 156.37/156.64      ( ~ 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)))
% 156.37/156.64      | 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)))
% 156.37/156.64      | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_8066]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1877,plain,
% 156.37/156.64      ( X0 = X1
% 156.37/156.64      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 156.37/156.64      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3683_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8034,plain,
% 156.37/156.64      ( X0 = X1
% 156.37/156.64      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 156.37/156.64      | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1877]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_8035,plain,
% 156.37/156.64      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.64      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.64      | X3 = X4 ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_8034]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1833,plain,
% 156.37/156.64      ( c_Map_Omap__upds(X0,X1,c_List_Olist__update(X2,X3,X4,X5),X6,X5) = c_Map_Omap__upds(X0,X1,X2,X6,X5)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X6)),X3,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X5)),tc_nat) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3709_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7946,plain,
% 156.37/156.64      ( c_Map_Omap__upds(X0,X1,c_List_Olist__update(X2,X3,X4,X5),X6,X5) = c_Map_Omap__upds(X0,X1,X2,X6,X5)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X6)),X3,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X5)),tc_nat) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1833]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7947,plain,
% 156.37/156.64      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 156.37/156.64      | c_Map_Omap__upds(X5,X0,c_List_Olist__update(X3,X2,X6,X4),X1,X4) = c_Map_Omap__upds(X5,X0,X3,X1,X4) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7946]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1825,plain,
% 156.37/156.64      ( 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
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 156.37/156.64      | 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)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3718_1) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7930,plain,
% 156.37/156.64      ( 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
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 156.37/156.64      | 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)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1825]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7931,plain,
% 156.37/156.64      ( 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
% 156.37/156.64      | 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)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7930]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1794,plain,
% 156.37/156.64      ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 156.37/156.64      | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 156.37/156.64      | ~ c_Type_Otyping(X0,X2,X5) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3746_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7868,plain,
% 156.37/156.64      ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 156.37/156.64      | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 156.37/156.64      | ~ c_Type_Otyping(X0,X2,X5) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1794]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7869,plain,
% 156.37/156.64      ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 156.37/156.64      | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 156.37/156.64      | ~ c_Type_Otyping(X0,X5,X2) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7868]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1787,plain,
% 156.37/156.64      ( c_List_Olistrelp(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 156.37/156.64      | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 156.37/156.64      | ~ c_List_Olistrelp(X0,X2,X5,X3) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3752_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7854,plain,
% 156.37/156.64      ( c_List_Olistrelp(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 156.37/156.64      | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 156.37/156.64      | ~ c_List_Olistrelp(X0,X2,X5,X3) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1787]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7855,plain,
% 156.37/156.64      ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 156.37/156.64      | c_List_Olistrelp(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 156.37/156.64      | ~ c_List_Olistrelp(X0,X3,X5,X4) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7854]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1776,plain,
% 156.37/156.64      ( 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)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3757_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7832,plain,
% 156.37/156.64      ( 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)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1776]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7833,plain,
% 156.37/156.64      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | 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)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7832]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1768,plain,
% 156.37/156.64      ( hBOOL(hAPP(X0,X1))
% 156.37/156.64      | ~ c_List_Olistsp(X2,X1,t_a)
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X2,X0),v_sko__List__Xlistsp__Xinducts__2(X2,X0),t_a))) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3768_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7816,plain,
% 156.37/156.64      ( hBOOL(hAPP(X0,X1))
% 156.37/156.64      | ~ c_List_Olistsp(X2,X1,t_a)
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X2,X0),v_sko__List__Xlistsp__Xinducts__2(X2,X0),t_a))) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1768]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7817,plain,
% 156.37/156.64      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X0),v_sko__List__Xlistsp__Xinducts__2(X1,X0),t_a)))
% 156.37/156.64      | hBOOL(hAPP(X0,X2))
% 156.37/156.64      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7816]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1764,plain,
% 156.37/156.64      ( hBOOL(hAPP(X0,X1))
% 156.37/156.64      | ~ c_List_Olistsp(X2,X1,t_a)
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X2,X0),v_sko__List__Xlistsp__Xinduct__2(X2,X0),t_a))) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3769_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7808,plain,
% 156.37/156.64      ( hBOOL(hAPP(X0,X1))
% 156.37/156.64      | ~ c_List_Olistsp(X2,X1,t_a)
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X2,X0),v_sko__List__Xlistsp__Xinduct__2(X2,X0),t_a))) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1764]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7809,plain,
% 156.37/156.64      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.64      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X0),v_sko__List__Xlistsp__Xinduct__2(X1,X0),t_a)))
% 156.37/156.64      | hBOOL(hAPP(X0,X2))
% 156.37/156.64      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7808]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1761,plain,
% 156.37/156.64      ( 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)
% 156.37/156.64      | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3770_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7802,plain,
% 156.37/156.64      ( 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)
% 156.37/156.64      | c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1761]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7803,plain,
% 156.37/156.64      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | 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)
% 156.37/156.64      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2 ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7802]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1743,plain,
% 156.37/156.64      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3784_1) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7766,plain,
% 156.37/156.64      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1743]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7767,plain,
% 156.37/156.64      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7766]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1737,plain,
% 156.37/156.64      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3786_1) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7754,plain,
% 156.37/156.64      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1737]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7755,plain,
% 156.37/156.64      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 156.37/156.64      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7754]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1726,plain,
% 156.37/156.64      ( ~ 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)
% 156.37/156.64      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.64      | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3790_1) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7732,plain,
% 156.37/156.64      ( ~ 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)
% 156.37/156.64      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.64      | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1726]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7733,plain,
% 156.37/156.64      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.64      | ~ 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)
% 156.37/156.64      | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7732]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1724,plain,
% 156.37/156.64      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.64      | ~ 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) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3790_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7728,plain,
% 156.37/156.64      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.64      | ~ 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) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1724]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7729,plain,
% 156.37/156.64      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.64      | ~ 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)
% 156.37/156.64      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7728]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1720,plain,
% 156.37/156.64      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3)
% 156.37/156.64      | ~ c_lessequals(X0,X1,X3)
% 156.37/156.64      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
% 156.37/156.64      | ~ class_Orderings_Olinorder(X3) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3791_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7720,plain,
% 156.37/156.64      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X3)
% 156.37/156.64      | ~ c_lessequals(X0,X1,X3)
% 156.37/156.64      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
% 156.37/156.64      | ~ class_Orderings_Olinorder(X3) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1720]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7721,plain,
% 156.37/156.64      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.64      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.64      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0)
% 156.37/156.64      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X0),X0) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7720]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1713,plain,
% 156.37/156.64      ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 156.37/156.64      | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3793_2) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7706,plain,
% 156.37/156.64      ( X0 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)
% 156.37/156.64      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
% 156.37/156.64      | c_List_Oappend(X1,X0,X2) != c_List_Oappend(X3,X4,X2) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1713]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7707,plain,
% 156.37/156.64      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.64      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 156.37/156.64      | X3 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X4,X1) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7706]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1684,plain,
% 156.37/156.64      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.64      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3802_3) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7648,plain,
% 156.37/156.64      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.64      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1684]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7649,plain,
% 156.37/156.64      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.64      | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7648]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1675,plain,
% 156.37/156.64      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.64      | ~ c_lessequals(X3,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.64      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.64      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3805_4) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7630,plain,
% 156.37/156.64      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.64      | ~ c_lessequals(X3,X1,tc_nat)
% 156.37/156.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.64      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.64      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.64      inference(copy,[status(esa)],[c_1675]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_7631,plain,
% 156.37/156.64      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.64      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.64      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 156.37/156.64      | ~ c_lessequals(X3,X2,tc_nat) ),
% 156.37/156.64      inference(rewriting,[status(thm)],[c_7630]) ).
% 156.37/156.64  
% 156.37/156.64  cnf(c_1670,plain,
% 156.37/156.64      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 156.37/156.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3806_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7620,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1670]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7621,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7620]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1661,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3809_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7602,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1661]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7603,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7602]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1649,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X0),v_sko__List__Xconcat__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3815_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7578,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X0),v_sko__List__Xconcat__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1649]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7579,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X0),v_sko__List__Xconcat__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7578]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1646,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X0),v_sko__List__Xtake__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3816_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7572,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X0),v_sko__List__Xtake__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1646]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7573,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X0),v_sko__List__Xtake__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7572]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1643,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X0),v_sko__List__Xmap__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3817_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7566,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X0),v_sko__List__Xmap__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1643]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7567,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X0),v_sko__List__Xmap__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7566]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1640,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X0),v_sko__List__Xlist__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3818_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7560,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X0),v_sko__List__Xlist__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1640]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7561,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X0),v_sko__List__Xlist__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7560]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1637,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X0),v_sko__List__Xremove1__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3819_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7554,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X0),v_sko__List__Xremove1__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1637]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7555,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X0),v_sko__List__Xremove1__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7554]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1634,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X0),v_sko__List__Xdistinct__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3820_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7548,plain,
% 156.37/156.65      ( hBOOL(hAPP(X0,X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X0),v_sko__List__Xdistinct__Xinduct__2(X0),t_a))) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1634]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7549,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X0),v_sko__List__Xdistinct__Xinduct__2(X0),t_a)))
% 156.37/156.65      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7548]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1614,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.65      | 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)
% 156.37/156.65      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3832_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7508,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.65      | 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)
% 156.37/156.65      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1614]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7509,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.65      | 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)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7508]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1612,plain,
% 156.37/156.65      ( 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)
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3832_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7504,plain,
% 156.37/156.65      ( 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)
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1612]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7505,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.65      | 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)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7504]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1607,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 156.37/156.65      | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3837_0) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7494,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 156.37/156.65      | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1607]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7495,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 156.37/156.65      | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 156.37/156.65      | ~ c_lessequals(X3,X4,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7494]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1598,plain,
% 156.37/156.65      ( 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)
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3841_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7476,plain,
% 156.37/156.65      ( 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)
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1598]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7477,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.65      | 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) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7476]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1591,plain,
% 156.37/156.65      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3844_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7462,plain,
% 156.37/156.65      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1591]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7463,plain,
% 156.37/156.65      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7462]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1576,plain,
% 156.37/156.65      ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 156.37/156.65      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3849_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7432,plain,
% 156.37/156.65      ( c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0
% 156.37/156.65      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1576]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7433,plain,
% 156.37/156.65      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 156.37/156.65      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) = X0 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7432]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1571,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 156.37/156.65      | X1 = X3
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3852_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7422,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 156.37/156.65      | X1 = X3
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1571]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7423,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 156.37/156.65      | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 156.37/156.65      | X2 = X1 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7422]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1567,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 156.37/156.65      | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3852_5) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7414,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 156.37/156.65      | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1567]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7415,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 156.37/156.65      | X1 = X2 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7414]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1557,plain,
% 156.37/156.65      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(X1,X3,tc_nat)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3857_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7394,plain,
% 156.37/156.65      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(X1,X3,tc_nat)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1557]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7395,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.65      | ~ c_lessequals(X2,X3,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7394]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1537,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3863_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7354,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1537]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7355,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | 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)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7354]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1535,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 156.37/156.65      | ~ c_lessequals(X3,X4,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3864_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7350,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 156.37/156.65      | ~ c_lessequals(X3,X4,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1535]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7351,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.65      | ~ c_lessequals(X2,X4,X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7350]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1531,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3865_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7342,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1531]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7343,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7342]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1525,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,X1))
% 156.37/156.65      | hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_fun(X3,tc_bool)),X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X2,X1)) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3869_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7330,plain,
% 156.37/156.65      ( ~ hBOOL(hAPP(X0,X1))
% 156.37/156.65      | hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_fun(X3,tc_bool)),X1))
% 156.37/156.65      | ~ hBOOL(hAPP(X2,X1)) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1525]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7331,plain,
% 156.37/156.65      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3))
% 156.37/156.65      | ~ hBOOL(hAPP(X1,X3))
% 156.37/156.65      | ~ hBOOL(hAPP(X0,X3)) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7330]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1519,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3872_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7318,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1519]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7319,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7318]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1492,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X3,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3888_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7264,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X3,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1492]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7265,plain,
% 156.37/156.65      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X3,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7264]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1489,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3889_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7258,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1489]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7259,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7258]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1479,plain,
% 156.37/156.65      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3893_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7238,plain,
% 156.37/156.65      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1479]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7239,plain,
% 156.37/156.65      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.65      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1)
% 156.37/156.65      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) = X2 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7238]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1475,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 156.37/156.65      | X1 = X3
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3895_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7230,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 156.37/156.65      | X1 = X3
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1475]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7231,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 156.37/156.65      | X2 = X1 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7230]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1472,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.65      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3895_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7224,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.65      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1472]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7225,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 156.37/156.65      | X1 = X2 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7224]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1455,plain,
% 156.37/156.65      ( ~ c_List_Olistsp(X0,X1,X2)
% 156.37/156.65      | c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X3,X0,tc_fun(X2,tc_bool)),X1,X2)
% 156.37/156.65      | ~ c_List_Olistsp(X3,X1,X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3905_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7190,plain,
% 156.37/156.65      ( ~ c_List_Olistsp(X0,X1,X2)
% 156.37/156.65      | c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X3,X0,tc_fun(X2,tc_bool)),X1,X2)
% 156.37/156.65      | ~ c_List_Olistsp(X3,X1,X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1455]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7191,plain,
% 156.37/156.65      ( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3,X2)
% 156.37/156.65      | ~ c_List_Olistsp(X1,X3,X2)
% 156.37/156.65      | ~ c_List_Olistsp(X0,X3,X2) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7190]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1450,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3906_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7180,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1450]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7181,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7180]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1432,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3918_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7144,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1432]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7145,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7144]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1430,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3919_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7140,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1430]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7141,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7140]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1426,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3920_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7132,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1426]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7133,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7132]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1422,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3921_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7124,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1422]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7125,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7124]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1418,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3922_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7116,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1418]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7117,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7116]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1412,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3923_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7104,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1412]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7105,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7104]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1399,plain,
% 156.37/156.65      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 156.37/156.65      | ~ c_lessequals(X0,X2,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3926_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7078,plain,
% 156.37/156.65      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 156.37/156.65      | ~ c_lessequals(X0,X2,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1399]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7079,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 156.37/156.65      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7078]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1394,plain,
% 156.37/156.65      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_lessequals(X0,X3,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3927_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7068,plain,
% 156.37/156.65      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_lessequals(X0,X3,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1394]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7069,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.65      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7068]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1389,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3928_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7058,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1389]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_7059,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.65      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_7058]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1352,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3939_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6984,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 156.37/156.65      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1352]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6985,plain,
% 156.37/156.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6984]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1335,plain,
% 156.37/156.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3946_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6950,plain,
% 156.37/156.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1335]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6951,plain,
% 156.37/156.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.65      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 156.37/156.65      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6950]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1324,plain,
% 156.37/156.65      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | X0 = X2
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3950_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6928,plain,
% 156.37/156.65      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.65      | X0 = X2
% 156.37/156.65      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1324]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6929,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 156.37/156.65      | X2 = X1 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6928]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1322,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3950_3) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6924,plain,
% 156.37/156.65      ( X0 = X1
% 156.37/156.65      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1322]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6925,plain,
% 156.37/156.65      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.65      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 156.37/156.65      | X1 = X2 ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6924]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1319,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3951_2) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6918,plain,
% 156.37/156.65      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1319]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6919,plain,
% 156.37/156.65      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.65      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6918]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1317,plain,
% 156.37/156.65      ( ~ c_List_Olistsp(X0,X1,X2)
% 156.37/156.65      | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 156.37/156.65      | ~ c_List_Olistsp(X0,X3,X2) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3952_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6914,plain,
% 156.37/156.65      ( ~ c_List_Olistsp(X0,X1,X2)
% 156.37/156.65      | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 156.37/156.65      | ~ c_List_Olistsp(X0,X3,X2) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1317]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6915,plain,
% 156.37/156.65      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 156.37/156.65      | ~ c_List_Olistsp(X0,X2,X3)
% 156.37/156.65      | ~ c_List_Olistsp(X0,X1,X3) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6914]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1282,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3978_0) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6844,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1282]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6845,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6844]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1278,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3979_0) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6836,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1278]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6837,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.65      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6836]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1274,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_lessequals(X4,X3,X0)
% 156.37/156.65      | c_lessequals(X2,X1,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3980_0) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6828,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_lessequals(X4,X3,X0)
% 156.37/156.65      | c_lessequals(X2,X1,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1274]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6829,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(X3,X4,X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6828]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1270,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_lessequals(X2,X1,X0)
% 156.37/156.65      | c_lessequals(X4,X3,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3981_0) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6820,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 156.37/156.65      | ~ c_lessequals(X2,X1,X0)
% 156.37/156.65      | c_lessequals(X4,X3,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1270]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6821,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.65      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.65      | c_lessequals(X3,X4,X0)
% 156.37/156.65      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6820]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1215,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4012_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6710,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1215]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6711,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6710]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1212,plain,
% 156.37/156.65      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4012_4) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6704,plain,
% 156.37/156.65      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.65      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 156.37/156.65      inference(copy,[status(esa)],[c_1212]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6705,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.65      inference(rewriting,[status(thm)],[c_6704]) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_1210,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.65      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4013_1) ).
% 156.37/156.65  
% 156.37/156.65  cnf(c_6700,plain,
% 156.37/156.65      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.66      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1210]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6701,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6700]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1207,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4013_4) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6694,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1207]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6695,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6694]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1199,plain,
% 156.37/156.66      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4021_0) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6678,plain,
% 156.37/156.66      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1199]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6679,plain,
% 156.37/156.66      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6678]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1187,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.66      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 156.37/156.66      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4025_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6654,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.66      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 156.37/156.66      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1187]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6655,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.66      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 156.37/156.66      | X2 = X3 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6654]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1107,plain,
% 156.37/156.66      ( c_List_Olistsp(X0,v_sko__List__Xlistsp__Xinduct__2(X0,X1),t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,X2))
% 156.37/156.66      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4063_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6494,plain,
% 156.37/156.66      ( c_List_Olistsp(X0,v_sko__List__Xlistsp__Xinduct__2(X0,X1),t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,X2))
% 156.37/156.66      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1107]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6495,plain,
% 156.37/156.66      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.66      | hBOOL(hAPP(X0,X1))
% 156.37/156.66      | c_List_Olistsp(X2,v_sko__List__Xlistsp__Xinduct__2(X2,X0),t_a)
% 156.37/156.66      | ~ c_List_Olistsp(X2,X1,t_a) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6494]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1103,plain,
% 156.37/156.66      ( c_List_Olistsp(X0,v_sko__List__Xlistsp__Xinducts__2(X0,X1),t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,X2))
% 156.37/156.66      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4064_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6486,plain,
% 156.37/156.66      ( c_List_Olistsp(X0,v_sko__List__Xlistsp__Xinducts__2(X0,X1),t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,X2))
% 156.37/156.66      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1103]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6487,plain,
% 156.37/156.66      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.66      | hBOOL(hAPP(X0,X1))
% 156.37/156.66      | c_List_Olistsp(X2,v_sko__List__Xlistsp__Xinducts__2(X2,X0),t_a)
% 156.37/156.66      | ~ c_List_Olistsp(X2,X1,t_a) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6486]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1063,plain,
% 156.37/156.66      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.66      | ~ c_lessequals(X3,X1,X0) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4084_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6406,plain,
% 156.37/156.66      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.66      | ~ c_lessequals(X3,X1,X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1063]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6407,plain,
% 156.37/156.66      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.66      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6406]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1061,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.66      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4084_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6402,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.66      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1061]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6403,plain,
% 156.37/156.66      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.66      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6402]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1055,plain,
% 156.37/156.66      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.66      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4086_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6390,plain,
% 156.37/156.66      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.66      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1055]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6391,plain,
% 156.37/156.66      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.66      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6390]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1053,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.66      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4086_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6386,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.66      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1053]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6387,plain,
% 156.37/156.66      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.66      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6386]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1015,plain,
% 156.37/156.66      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4102_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6310,plain,
% 156.37/156.66      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1015]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6311,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6310]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_960,plain,
% 156.37/156.66      ( c_lessequals(X0,X1,X2)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.66      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.66      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4136_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6200,plain,
% 156.37/156.66      ( c_lessequals(X0,X1,X2)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.66      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.66      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_960]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6201,plain,
% 156.37/156.66      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.66      | c_lessequals(X1,X2,X0)
% 156.37/156.66      | ~ c_lessequals(X2,X1,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6200]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_928,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 156.37/156.66      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4155_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6136,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 156.37/156.66      | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_928]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6137,plain,
% 156.37/156.66      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 156.37/156.66      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 156.37/156.66      | X2 = X1 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6136]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_868,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4176_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6016,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_868]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_6017,plain,
% 156.37/156.66      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 156.37/156.66      | X1 = X0 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_6016]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_854,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4182_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5988,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_854]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5989,plain,
% 156.37/156.66      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | X0 = X1 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5988]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_828,plain,
% 156.37/156.66      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X0)))
% 156.37/156.66      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4194_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5936,plain,
% 156.37/156.66      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.66      | hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X0)))
% 156.37/156.66      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_828]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5937,plain,
% 156.37/156.66      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xcases__1(X0,X1)))
% 156.37/156.66      | ~ c_List_Olistsp(X0,X1,t_a)
% 156.37/156.66      | X1 = c_List_Olist_ONil(t_a) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5936]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_825,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X1 = X0
% 156.37/156.66      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4195_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5930,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X1 = X0
% 156.37/156.66      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_825]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5931,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 156.37/156.66      | X1 = X0 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5930]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_822,plain,
% 156.37/156.66      ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4196_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5924,plain,
% 156.37/156.66      ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_822]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5925,plain,
% 156.37/156.66      ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5924]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_811,plain,
% 156.37/156.66      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.66      | c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X0),t_a)
% 156.37/156.66      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4205_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5902,plain,
% 156.37/156.66      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.66      | c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X0),t_a)
% 156.37/156.66      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_811]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5903,plain,
% 156.37/156.66      ( c_List_Olistsp(X0,v_sko__List__Xlistsp__Xcases__2(X0,X1),t_a)
% 156.37/156.66      | ~ c_List_Olistsp(X0,X1,t_a)
% 156.37/156.66      | X1 = c_List_Olist_ONil(t_a) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5902]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_806,plain,
% 156.37/156.66      ( ~ c_Lambda_Obeta(X0,X1)
% 156.37/156.66      | ~ c_Type_Otyping(X2,X0,X3)
% 156.37/156.66      | c_Type_Otyping(X2,X1,X3) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4209_0) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5892,plain,
% 156.37/156.66      ( ~ c_Lambda_Obeta(X0,X1)
% 156.37/156.66      | ~ c_Type_Otyping(X2,X0,X3)
% 156.37/156.66      | c_Type_Otyping(X2,X1,X3) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_806]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5893,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,X1,X2)
% 156.37/156.66      | c_Type_Otyping(X0,X3,X2)
% 156.37/156.66      | ~ c_Lambda_Obeta(X1,X3) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5892]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_729,plain,
% 156.37/156.66      ( c_Suc(X0) = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4239_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5738,plain,
% 156.37/156.66      ( c_Suc(X0) = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_729]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5739,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_Suc(X0) = X1 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5738]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_634,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4289_5) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5548,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_634]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5549,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X0)
% 156.37/156.66      | ~ class_Power_Opower(X0)
% 156.37/156.66      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5548]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_629,plain,
% 156.37/156.66      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4290_4) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5538,plain,
% 156.37/156.66      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_629]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5539,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X0)
% 156.37/156.66      | ~ class_Power_Opower(X0)
% 156.37/156.66      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5538]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_626,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X1 = X0
% 156.37/156.66      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4291_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5532,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | X1 = X0
% 156.37/156.66      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_626]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5533,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 156.37/156.66      | X1 = X0 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5532]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_620,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.66      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4293_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5520,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.66      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_620]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5521,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 156.37/156.66      | X1 = X2 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5520]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_555,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4322_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5390,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_555]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5391,plain,
% 156.37/156.66      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.66      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 156.37/156.66      | X0 = X1 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5390]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_504,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4340_5) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5288,plain,
% 156.37/156.66      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.66      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.37/156.66      | ~ class_Power_Opower(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_504]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_5289,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Omult__zero(X0)
% 156.37/156.66      | ~ class_Power_Opower(X0)
% 156.37/156.66      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_5288]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1890,plain,
% 156.37/156.66      ( c_List_Olistsum(c_List_Omap(X0,c_List_Ofilter(X1,X2,X3),X3,X4),X4) = c_List_Olistsum(c_List_Omap(X0,X2,X3,X4),X4)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xlistsum__map__filter__1__1(X1,X0,X2,X3,X4)))
% 156.37/156.66      | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3677_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8060,plain,
% 156.37/156.66      ( c_List_Olistsum(c_List_Omap(X0,c_List_Ofilter(X1,X2,X3),X3,X4),X4) = c_List_Olistsum(c_List_Omap(X0,X2,X3,X4),X4)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xlistsum__map__filter__1__1(X1,X0,X2,X3,X4)))
% 156.37/156.66      | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1890]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8061,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.66      | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xlistsum__map__filter__1__1(X1,X2,X3,X4,X0)))
% 156.37/156.66      | c_List_Olistsum(c_List_Omap(X2,c_List_Ofilter(X1,X3,X4),X4,X0),X0) = c_List_Olistsum(c_List_Omap(X2,X3,X4,X0),X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8060]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1886,plain,
% 156.37/156.66      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 156.37/156.66      | ~ hBOOL(hAPP(X0,c_List_Olist_Olist__case(X4,X1,c_List_Olist_OCons(X2,X3,t_b),t_a,t_b))) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3679_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8052,plain,
% 156.37/156.66      ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 156.37/156.66      | ~ hBOOL(hAPP(X0,c_List_Olist_Olist__case(X4,X1,c_List_Olist_OCons(X2,X3,t_b),t_a,t_b))) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1886]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1884,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3680_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8048,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1884]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8049,plain,
% 156.37/156.66      ( hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4))
% 156.37/156.66      | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8048]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1882,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3681_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8044,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1882]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8045,plain,
% 156.37/156.66      ( hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4))
% 156.37/156.66      | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8044]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1880,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3682_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8040,plain,
% 156.37/156.66      ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1880]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8041,plain,
% 156.37/156.66      ( hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4))
% 156.37/156.66      | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8040]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1878,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | X4 = X3
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3683_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8036,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | X4 = X3
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1878]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8037,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.66      | X4 = X3 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8036]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1875,plain,
% 156.37/156.66      ( hBOOL(hAPP(X0,X1))
% 156.37/156.66      | ~ hBOOL(hAPP(X0,c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(t_b),t_a,t_b))) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3684_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8030,plain,
% 156.37/156.66      ( hBOOL(hAPP(X0,X1))
% 156.37/156.66      | ~ hBOOL(hAPP(X0,c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(t_b),t_a,t_b))) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1875]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8031,plain,
% 156.37/156.66      ( ~ hBOOL(hAPP(X0,c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(t_b),t_a,t_b)))
% 156.37/156.66      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8030]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1873,plain,
% 156.37/156.66      ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.66      | ~ c_Type_Otypings(X0,X3,X4) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3687_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8026,plain,
% 156.37/156.66      ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 156.37/156.66      | ~ c_Type_Otypings(X0,X3,X4) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1873]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1871,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3688_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8022,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1871]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1869,plain,
% 156.37/156.66      ( 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
% 156.37/156.66      | ~ c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3689_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8018,plain,
% 156.37/156.66      ( 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
% 156.37/156.66      | ~ c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1869]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8019,plain,
% 156.37/156.66      ( ~ c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 156.37/156.66      | 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 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8018]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1866,plain,
% 156.37/156.66      ( c_List_Olistsum(c_List_Omap(X0,c_List_Ofilter(X1,X2,X3),X3,X4),X4) = c_List_Olistsum(c_List_Omap(X0,X2,X3,X4),X4)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xlistsum__map__filter__1__1(X1,X0,X2,X3,X4)) != c_HOL_Ozero__class_Ozero(X4)
% 156.37/156.66      | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3690_2) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8012,plain,
% 156.37/156.66      ( c_List_Olistsum(c_List_Omap(X0,c_List_Ofilter(X1,X2,X3),X3,X4),X4) = c_List_Olistsum(c_List_Omap(X0,X2,X3,X4),X4)
% 156.37/156.66      | hAPP(X0,c_List_Osko__List__Xlistsum__map__filter__1__1(X1,X0,X2,X3,X4)) != c_HOL_Ozero__class_Ozero(X4)
% 156.37/156.66      | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1866]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8013,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.66      | hAPP(X1,c_List_Osko__List__Xlistsum__map__filter__1__1(X2,X1,X3,X4,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 156.37/156.66      | c_List_Olistsum(c_List_Omap(X1,c_List_Ofilter(X2,X3,X4),X4,X0),X0) = c_List_Olistsum(c_List_Omap(X1,X3,X4,X0),X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_8012]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1864,plain,
% 156.37/156.66      ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 156.37/156.66      | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3691_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8008,plain,
% 156.37/156.66      ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 156.37/156.66      | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1864]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1862,plain,
% 156.37/156.66      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 156.37/156.66      | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3692_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8004,plain,
% 156.37/156.66      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 156.37/156.66      | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1862]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1860,plain,
% 156.37/156.66      ( 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))
% 156.37/156.66      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3694_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_8000,plain,
% 156.37/156.66      ( 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))
% 156.37/156.66      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1860]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1858,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3695_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7996,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1858]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7997,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7996]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1856,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3696_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7992,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1856]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7993,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7992]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1854,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3697_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7988,plain,
% 156.37/156.66      ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 156.37/156.66      | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1854]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7989,plain,
% 156.37/156.66      ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 156.37/156.66      | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7988]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1852,plain,
% 156.37/156.66      ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 156.37/156.66      | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3698_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7984,plain,
% 156.37/156.66      ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 156.37/156.66      | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1852]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1850,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3699_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7980,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1850]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7981,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | X0 = X2 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7980]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1848,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3700_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7976,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1848]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7977,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | X1 = X3 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7976]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1846,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3701_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7972,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1846]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7973,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | X0 = X2 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7972]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1844,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3702_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7968,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1844]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7969,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | X1 = X3 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7968]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1842,plain,
% 156.37/156.66      ( 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))
% 156.37/156.66      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3703_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7964,plain,
% 156.37/156.66      ( 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))
% 156.37/156.66      | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1842]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7965,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 156.37/156.66      | 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)) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7964]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1840,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3705_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7960,plain,
% 156.37/156.66      ( X0 = X1
% 156.37/156.66      | 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) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1840]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7961,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | X0 = X2 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7960]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1838,plain,
% 156.37/156.66      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 156.37/156.66      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3706_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7956,plain,
% 156.37/156.66      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 156.37/156.66      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1838]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7957,plain,
% 156.37/156.66      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.37/156.66      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7956]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1836,plain,
% 156.37/156.66      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3708_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7952,plain,
% 156.37/156.66      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 156.37/156.66      | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1836]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7953,plain,
% 156.37/156.66      ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 156.37/156.66      | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7952]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1831,plain,
% 156.37/156.66      ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3710_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7942,plain,
% 156.37/156.66      ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 156.37/156.66      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1831]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7943,plain,
% 156.37/156.66      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.37/156.66      | c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7942]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1829,plain,
% 156.37/156.66      ( c_Map_Omap__upds(X0,X1,c_List_Oappend(X2,X3,X4),X5,X4) = c_Map_Omap__upds(X0,X1,X2,X5,X4)
% 156.37/156.66      | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3712_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7938,plain,
% 156.37/156.66      ( c_Map_Omap__upds(X0,X1,c_List_Oappend(X2,X3,X4),X5,X4) = c_Map_Omap__upds(X0,X1,X2,X5,X4)
% 156.37/156.66      | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1829]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7939,plain,
% 156.37/156.66      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))
% 156.37/156.66      | c_Map_Omap__upds(X4,X0,c_List_Oappend(X2,X5,X3),X1,X3) = c_Map_Omap__upds(X4,X0,X2,X1,X3) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7938]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1827,plain,
% 156.37/156.66      ( c_Map_Omap__upds(X0,c_List_Oappend(X1,X2,X3),X4,X3,X5) = c_Map_Omap__upds(X0,X1,X4,X3,X5)
% 156.37/156.66      | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5)) ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3713_1) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7934,plain,
% 156.37/156.66      ( c_Map_Omap__upds(X0,c_List_Oappend(X1,X2,X3),X4,X3,X5) = c_Map_Omap__upds(X0,X1,X4,X3,X5)
% 156.37/156.66      | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5)) ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1827]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7935,plain,
% 156.37/156.66      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))
% 156.37/156.66      | c_Map_Omap__upds(X4,c_List_Oappend(X0,X5,X1),X2,X1,X3) = c_Map_Omap__upds(X4,X0,X2,X1,X3) ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7934]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_1823,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 156.37/156.66      | 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 ),
% 156.37/156.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3718_3) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7926,plain,
% 156.37/156.66      ( 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)
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 156.37/156.66      | 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 ),
% 156.37/156.66      inference(copy,[status(esa)],[c_1823]) ).
% 156.37/156.66  
% 156.37/156.66  cnf(c_7927,plain,
% 156.37/156.66      ( 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
% 156.37/156.66      | 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)
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1) != X2
% 156.37/156.66      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.66      inference(rewriting,[status(thm)],[c_7926]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1821,plain,
% 156.37/156.67      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 156.37/156.67      | 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) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3719_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7922,plain,
% 156.37/156.67      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1821]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7923,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7922]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1819,plain,
% 156.37/156.67      ( X0 = c_Lambda_OdB_OAbs(X1)
% 156.37/156.67      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3721_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7918,plain,
% 156.37/156.67      ( X0 = c_Lambda_OdB_OAbs(X1)
% 156.37/156.67      | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1819]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7919,plain,
% 156.37/156.67      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 156.37/156.67      | X0 = c_Lambda_OdB_OAbs(X2) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7918]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1817,plain,
% 156.37/156.67      ( c_Lambda_OdB_OVar(X0) = X1
% 156.37/156.67      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3722_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7914,plain,
% 156.37/156.67      ( c_Lambda_OdB_OVar(X0) = X1
% 156.37/156.67      | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1817]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7915,plain,
% 156.37/156.67      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OVar(X0) = X1 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7914]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1815,plain,
% 156.37/156.67      ( c_Lambda_OdB_OAbs(X0) = X1
% 156.37/156.67      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3723_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7910,plain,
% 156.37/156.67      ( c_Lambda_OdB_OAbs(X0) = X1
% 156.37/156.67      | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1815]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7911,plain,
% 156.37/156.67      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OAbs(X0) = X1 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7910]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1813,plain,
% 156.37/156.67      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3724_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7906,plain,
% 156.37/156.67      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1813]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7907,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 156.37/156.67      | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7906]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1811,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3725_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7902,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1811]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7903,plain,
% 156.37/156.67      ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 156.37/156.67      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7902]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1809,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3726_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7898,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1809]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7899,plain,
% 156.37/156.67      ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 156.37/156.67      | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7898]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1807,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3727_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7894,plain,
% 156.37/156.67      ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 156.37/156.67      | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1807]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7895,plain,
% 156.37/156.67      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 156.37/156.67      | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7894]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1805,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3730_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7890,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1805]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7891,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | X1 = X4 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7890]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1803,plain,
% 156.37/156.67      ( c_List_Olist__update(c_List_Orev(X0,X1),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X1) = c_List_Orev(c_List_Olist__update(X0,X2,X3,X1),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3732_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7886,plain,
% 156.37/156.67      ( c_List_Olist__update(c_List_Orev(X0,X1),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X1) = c_List_Orev(c_List_Olist__update(X0,X2,X3,X1),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1803]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7887,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 156.37/156.67      | c_List_Olist__update(c_List_Orev(X1,X2),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2) = c_List_Orev(c_List_Olist__update(X1,X0,X3,X2),X2) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7886]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1801,plain,
% 156.37/156.67      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 156.37/156.67      | 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) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3733_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7882,plain,
% 156.37/156.67      ( c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1801]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1799,plain,
% 156.37/156.67      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 156.37/156.67      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3737_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7878,plain,
% 156.37/156.67      ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 156.37/156.67      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1799]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7879,plain,
% 156.37/156.67      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.37/156.67      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7878]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1797,plain,
% 156.37/156.67      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3738_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7874,plain,
% 156.37/156.67      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1797]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7875,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 156.37/156.67      | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7874]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1790,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3748_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7860,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1790]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7861,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7860]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1783,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3754_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7846,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1783]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7847,plain,
% 156.37/156.67      ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 156.37/156.67      | hBOOL(hAPP(X0,X2)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7846]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1781,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3755_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7842,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1781]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7843,plain,
% 156.37/156.67      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7842]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1779,plain,
% 156.37/156.67      ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 156.37/156.67      | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3756_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7838,plain,
% 156.37/156.67      ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 156.37/156.67      | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1779]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7839,plain,
% 156.37/156.67      ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 156.37/156.67      | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7838]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1774,plain,
% 156.37/156.67      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Otake(X3,c_List_Odrop(X0,X1,X2),X2),X2) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),X1,X2)
% 156.37/156.67      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3762_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7828,plain,
% 156.37/156.67      ( c_List_Oappend(c_List_Otake(X0,X1,X2),c_List_Otake(X3,c_List_Odrop(X0,X1,X2),X2),X2) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),X1,X2)
% 156.37/156.67      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1774]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7829,plain,
% 156.37/156.67      ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 156.37/156.67      | c_List_Oappend(c_List_Otake(X0,X2,X3),c_List_Otake(X1,c_List_Odrop(X0,X2,X3),X3),X3) = c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,X3) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7828]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1772,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3767_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7824,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1772]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7825,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7824]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1759,plain,
% 156.37/156.67      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 156.37/156.67      | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3771_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7798,plain,
% 156.37/156.67      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1))
% 156.37/156.67      | c_List_Omap(X3,X0,X1,X4) != c_List_Omap(X3,X2,X1,X4) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1759]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1757,plain,
% 156.37/156.67      ( c_List_Odistinct(X0,X1)
% 156.37/156.67      | ~ c_List_Odistinct(c_List_Omap(X2,X0,X1,X3),X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3772_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7794,plain,
% 156.37/156.67      ( c_List_Odistinct(X0,X1)
% 156.37/156.67      | ~ c_List_Odistinct(c_List_Omap(X2,X0,X1,X3),X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1757]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7795,plain,
% 156.37/156.67      ( ~ c_List_Odistinct(c_List_Omap(X0,X1,X2,X3),X3)
% 156.37/156.67      | c_List_Odistinct(X1,X2) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7794]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1755,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3778_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7790,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1755]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7791,plain,
% 156.37/156.67      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7790]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1751,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3780_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7782,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1751]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7783,plain,
% 156.37/156.67      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7782]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1749,plain,
% 156.37/156.67      ( 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))
% 156.37/156.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3781_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7778,plain,
% 156.37/156.67      ( 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))
% 156.37/156.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1749]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7779,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.37/156.67      | 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)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7778]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1747,plain,
% 156.37/156.67      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3782_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7774,plain,
% 156.37/156.67      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1747]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7775,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.67      | hAPP(c_Type_Oshift(X2,X0,X3,X4),X1) = hAPP(X2,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7774]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1745,plain,
% 156.37/156.67      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 156.37/156.67      | ~ c_Type_Otyping(X0,X3,X4) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3783_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7770,plain,
% 156.37/156.67      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 156.37/156.67      | ~ c_Type_Otyping(X0,X3,X4) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1745]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1741,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3784_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7762,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1741]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7763,plain,
% 156.37/156.67      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7762]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1739,plain,
% 156.37/156.67      ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3785_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7758,plain,
% 156.37/156.67      ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1739]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7759,plain,
% 156.37/156.67      ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X0,X2,X3),X3)
% 156.37/156.67      | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7758]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1735,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3786_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7750,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1735]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7751,plain,
% 156.37/156.67      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7750]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1732,plain,
% 156.37/156.67      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X1,X2),X2)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,c_List_Olist_OCons(X0,X1,X2),X2),X2)
% 156.37/156.67      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3787_2) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7744,plain,
% 156.37/156.67      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,X1,X2),X2)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,c_List_Olist_OCons(X0,X1,X2),X2),X2)
% 156.37/156.67      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1732]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7745,plain,
% 156.37/156.67      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0)
% 156.37/156.67      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X0),X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7744]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1731,plain,
% 156.37/156.67      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.67      | c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3789_0) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7742,plain,
% 156.37/156.67      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.67      | c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1731]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1730,plain,
% 156.37/156.67      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.67      | c_lessequals(X0,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3789_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7740,plain,
% 156.37/156.67      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.67      | c_lessequals(X0,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1730]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1728,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3789_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7736,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1728]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7737,plain,
% 156.37/156.67      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | c_lessequals(X0,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7736]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1716,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,X2)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3792_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7712,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,X2)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1716]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7713,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 156.37/156.67      | c_lessequals(X2,X1,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7712]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1711,plain,
% 156.37/156.67      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3794_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7702,plain,
% 156.37/156.67      ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1711]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7703,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.67      | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7702]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1709,plain,
% 156.37/156.67      ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3795_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7698,plain,
% 156.37/156.67      ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1709]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7699,plain,
% 156.37/156.67      ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 156.37/156.67      | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7698]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1706,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,X2)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X3,X2),X2),X2)
% 156.37/156.67      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3796_2) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7692,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,X2)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X3,X2),X2),X2)
% 156.37/156.67      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1706]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7693,plain,
% 156.37/156.67      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.67      | c_lessequals(X1,X2,X0)
% 156.37/156.67      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X0),X0),X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7692]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1704,plain,
% 156.37/156.67      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3797_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7688,plain,
% 156.37/156.67      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1704]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7689,plain,
% 156.37/156.67      ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 156.37/156.67      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7688]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1700,plain,
% 156.37/156.67      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3798_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7680,plain,
% 156.37/156.67      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1700]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7681,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.67      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7680]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1692,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3800_3) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7664,plain,
% 156.37/156.67      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1692]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7665,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.67      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.67      | c_lessequals(X2,X3,tc_nat)
% 156.37/156.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7664]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1682,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),X1)) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3803_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7644,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),X1)) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1682]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7645,plain,
% 156.37/156.67      ( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3))
% 156.37/156.67      | hBOOL(hAPP(X0,X3)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7644]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1680,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_fun(X3,tc_bool)),X1)) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3804_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7640,plain,
% 156.37/156.67      ( hBOOL(hAPP(X0,X1))
% 156.37/156.67      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X0,tc_fun(X3,tc_bool)),X1)) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1680]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7641,plain,
% 156.37/156.67      ( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3))
% 156.37/156.67      | hBOOL(hAPP(X1,X3)) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7640]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1668,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3807_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7616,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1668]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7617,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | X1 = X4 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7616]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1666,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3808_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7612,plain,
% 156.37/156.67      ( X0 = X1
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1666]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7613,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | X0 = X3 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7612]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1659,plain,
% 156.37/156.67      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3810_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7598,plain,
% 156.37/156.67      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.67      | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1659]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7599,plain,
% 156.37/156.67      ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X1,c_List_Olist_OCons(X0,X2,X3),X3)
% 156.37/156.67      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7598]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1657,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 156.37/156.67      | ~ class_Divides_Oring__div(X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3811_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7594,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 156.37/156.67      | ~ class_Divides_Oring__div(X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1657]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7595,plain,
% 156.37/156.67      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7594]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1655,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3812_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7590,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 156.37/156.67      | ~ class_Divides_Oring__div(X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1655]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7591,plain,
% 156.37/156.67      ( ~ class_Divides_Oring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7590]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1652,plain,
% 156.37/156.67      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.67      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 156.37/156.67      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3813_2) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7584,plain,
% 156.37/156.67      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),tc_nat)
% 156.37/156.67      | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),X0,X1),X3,X1) = X4
% 156.37/156.67      | c_List_Oappend(X0,X3,X1) != c_List_Oappend(X2,X4,X1) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1652]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1630,plain,
% 156.37/156.67      ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 156.37/156.67      | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3823_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7540,plain,
% 156.37/156.67      ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 156.37/156.67      | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1630]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7541,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.37/156.67      | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7540]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1628,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3824_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7536,plain,
% 156.37/156.67      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 156.37/156.67      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1628]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7537,plain,
% 156.37/156.67      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.67      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7536]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1626,plain,
% 156.37/156.67      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2)
% 156.37/156.67      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3827_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7532,plain,
% 156.37/156.67      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2)
% 156.37/156.67      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1626]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7533,plain,
% 156.37/156.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 156.37/156.67      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7532]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1624,plain,
% 156.37/156.67      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2)
% 156.37/156.67      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3828_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7528,plain,
% 156.37/156.67      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2)
% 156.37/156.67      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1624]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7529,plain,
% 156.37/156.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.67      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0)),X2) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7528]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1622,plain,
% 156.37/156.67      ( c_List_Omap(X0,X1,X2,X2) = X1
% 156.37/156.67      | hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3829_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7524,plain,
% 156.37/156.67      ( c_List_Omap(X0,X1,X2,X2) = X1
% 156.37/156.67      | hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1622]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7525,plain,
% 156.37/156.67      ( hAPP(X0,c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)) != c_List_Osko__List__Xmap__idI__1__1(X0,X1,X2)
% 156.37/156.67      | c_List_Omap(X0,X1,X2,X2) = X1 ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7524]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1620,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3830_1) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7520,plain,
% 156.37/156.67      ( 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)
% 156.37/156.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.67      inference(copy,[status(esa)],[c_1620]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_7521,plain,
% 156.37/156.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.37/156.67      | 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) ),
% 156.37/156.67      inference(rewriting,[status(thm)],[c_7520]) ).
% 156.37/156.67  
% 156.37/156.67  cnf(c_1616,plain,
% 156.37/156.67      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.67      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3831_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7512,plain,
% 156.37/156.68      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X0,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1616]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1610,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3835_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7500,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1610]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7501,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7500]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1608,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3836_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7496,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1608]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7497,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7496]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1604,plain,
% 156.37/156.68      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.68      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 156.37/156.68      | ~ c_lessequals(X4,X3,X1)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3837_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7488,plain,
% 156.37/156.68      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.68      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 156.37/156.68      | ~ c_lessequals(X4,X3,X1)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1604]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7489,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.68      | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 156.37/156.68      | ~ c_lessequals(X4,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7488]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1601,plain,
% 156.37/156.68      ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3838_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7482,plain,
% 156.37/156.68      ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1601]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1599,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3841_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7478,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1599]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7479,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.68      | 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) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7478]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1594,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 156.37/156.68      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3843_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7468,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 156.37/156.68      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1594]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7469,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7468]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1588,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3845_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7456,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1588]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7457,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7456]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1585,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3846_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7450,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1585]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7451,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | ~ 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)
% 156.37/156.68      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7450]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1582,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,X2)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3847_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7444,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,X2)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1582]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7445,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | c_lessequals(X2,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7444]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1579,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,X2)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3848_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7438,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,X2)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1579]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7439,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.68      | c_lessequals(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7438]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1573,plain,
% 156.37/156.68      ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3850_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7426,plain,
% 156.37/156.68      ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1573]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7427,plain,
% 156.37/156.68      ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.68      | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7426]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1565,plain,
% 156.37/156.68      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 156.37/156.68      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3855_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7410,plain,
% 156.37/156.68      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 156.37/156.68      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1565]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1561,plain,
% 156.37/156.68      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.68      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3856_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7402,plain,
% 156.37/156.68      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 156.37/156.68      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1561]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7403,plain,
% 156.37/156.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7402]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1553,plain,
% 156.37/156.68      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.68      | ~ c_lessequals(X1,X3,tc_nat)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3858_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7386,plain,
% 156.37/156.68      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.68      | ~ c_lessequals(X1,X3,tc_nat)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1553]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7387,plain,
% 156.37/156.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.68      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7386]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1545,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3860_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7370,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1545]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7371,plain,
% 156.37/156.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7370]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1541,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ c_lessequals(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3862_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7362,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ c_lessequals(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1541]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7363,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.68      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7362]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1533,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.68      | ~ c_lessequals(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3864_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7346,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.68      | ~ c_lessequals(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1533]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7347,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.68      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.68      | ~ c_lessequals(X2,X4,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7346]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1529,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3865_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7338,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1529]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7339,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7338]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1527,plain,
% 156.37/156.68      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3866_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7334,plain,
% 156.37/156.68      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1527]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7335,plain,
% 156.37/156.68      ( ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2)))
% 156.37/156.68      | c_List_Olistsp(X0,X1,X2) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7334]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1524,plain,
% 156.37/156.68      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,X3))
% 156.37/156.68      | ~ hBOOL(hAPP(X1,X3)) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3869_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7328,plain,
% 156.37/156.68      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,X3))
% 156.37/156.68      | ~ hBOOL(hAPP(X1,X3)) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1524]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1521,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3871_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7322,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1521]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7323,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7322]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1518,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3872_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7316,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1518]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1516,plain,
% 156.37/156.68      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0))
% 156.37/156.68      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3874_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7312,plain,
% 156.37/156.68      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0))
% 156.37/156.68      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1516]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7313,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 156.37/156.68      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7312]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1514,plain,
% 156.37/156.68      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0))
% 156.37/156.68      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3875_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7308,plain,
% 156.37/156.68      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0))
% 156.37/156.68      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1514]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7309,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.68      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7308]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1512,plain,
% 156.37/156.68      ( hBOOL(hAPP(X0,X1))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3876_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7304,plain,
% 156.37/156.68      ( hBOOL(hAPP(X0,X1))
% 156.37/156.68      | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1512]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7305,plain,
% 156.37/156.68      ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 156.37/156.68      | hBOOL(hAPP(X0,X1)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7304]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1510,plain,
% 156.37/156.68      ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3877_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7300,plain,
% 156.37/156.68      ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1510]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1508,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3878_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7296,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1508]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7297,plain,
% 156.37/156.68      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.68      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7296]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1506,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3879_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7292,plain,
% 156.37/156.68      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1506]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7293,plain,
% 156.37/156.68      ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.68      | c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7292]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1502,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3881_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7284,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1502]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7285,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.68      | 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)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7284]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1500,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3882_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7280,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1500]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7281,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 156.37/156.68      | 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)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7280]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1496,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3884_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7272,plain,
% 156.37/156.68      ( 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))
% 156.37/156.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1496]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7273,plain,
% 156.37/156.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.37/156.68      | 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)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7272]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1494,plain,
% 156.37/156.68      ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.68      | c_List_Odrop(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3887_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7268,plain,
% 156.37/156.68      ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.68      | c_List_Odrop(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1494]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7269,plain,
% 156.37/156.68      ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
% 156.37/156.68      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7268]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1491,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X3,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3888_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7262,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X3,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1491]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1488,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3889_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7256,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1488]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1484,plain,
% 156.37/156.68      ( X0 = c_List_Olist_ONil(X1)
% 156.37/156.68      | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3891_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7248,plain,
% 156.37/156.68      ( X0 = c_List_Olist_ONil(X1)
% 156.37/156.68      | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1484]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7249,plain,
% 156.37/156.68      ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 156.37/156.68      | X1 = c_List_Olist_ONil(X2) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7248]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1482,plain,
% 156.37/156.68      ( X0 = c_List_Olist_ONil(X1)
% 156.37/156.68      | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3892_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7244,plain,
% 156.37/156.68      ( X0 = c_List_Olist_ONil(X1)
% 156.37/156.68      | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1482]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7245,plain,
% 156.37/156.68      ( c_List_Olist__update(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 156.37/156.68      | X0 = c_List_Olist_ONil(X3) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7244]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1477,plain,
% 156.37/156.68      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 156.37/156.68      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3894_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7234,plain,
% 156.37/156.68      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 156.37/156.68      | ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1477]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7235,plain,
% 156.37/156.68      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.68      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7234]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1470,plain,
% 156.37/156.68      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3896_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7220,plain,
% 156.37/156.68      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1470]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7221,plain,
% 156.37/156.68      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 156.37/156.68      | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7220]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1468,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3897_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7216,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1468]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1466,plain,
% 156.37/156.68      ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 156.37/156.68      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3898_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7212,plain,
% 156.37/156.68      ( c_List_Oappend(X0,c_List_Odrop(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1),X1) = X2
% 156.37/156.68      | c_List_Otake(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,X1) != X0 ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1466]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1463,plain,
% 156.37/156.68      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3899_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7206,plain,
% 156.37/156.68      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1463]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7207,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7206]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1461,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3900_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7202,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1461]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7203,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7202]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1459,plain,
% 156.37/156.68      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3901_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7198,plain,
% 156.37/156.68      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 156.37/156.68      | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1459]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1457,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3902_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7194,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1457]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7195,plain,
% 156.37/156.68      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.68      | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7194]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1454,plain,
% 156.37/156.68      ( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3,X2)
% 156.37/156.68      | ~ c_List_Olistsp(X0,X3,X2)
% 156.37/156.68      | ~ c_List_Olistsp(X1,X3,X2) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3905_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7188,plain,
% 156.37/156.68      ( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)),X3,X2)
% 156.37/156.68      | ~ c_List_Olistsp(X0,X3,X2)
% 156.37/156.68      | ~ c_List_Olistsp(X1,X3,X2) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1454]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1446,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3908_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7172,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 156.37/156.68      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1446]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7173,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7172]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1444,plain,
% 156.37/156.68      ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 156.37/156.68      | ~ c_Lambda_Obeta(X0,X3) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3909_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7168,plain,
% 156.37/156.68      ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 156.37/156.68      | ~ c_Lambda_Obeta(X0,X3) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1444]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1442,plain,
% 156.37/156.68      ( c_List_Ofilter(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Ofilter(X0,X2,X3),X3)
% 156.37/156.68      | ~ hBOOL(hAPP(X0,X1)) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3911_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7164,plain,
% 156.37/156.68      ( c_List_Ofilter(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Ofilter(X0,X2,X3),X3)
% 156.37/156.68      | ~ hBOOL(hAPP(X0,X1)) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1442]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7165,plain,
% 156.37/156.68      ( ~ hBOOL(hAPP(X0,X1))
% 156.37/156.68      | c_List_Ofilter(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Ofilter(X0,X2,X3),X3) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7164]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1440,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 156.37/156.68      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3912_1) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7160,plain,
% 156.37/156.68      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 156.37/156.68      | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1440]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7161,plain,
% 156.37/156.68      ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 156.37/156.68      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7160]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1436,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3917_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7152,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1436]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7153,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7152]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1428,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3919_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7136,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1428]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7137,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7136]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1424,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3920_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7128,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1424]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7129,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7128]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1420,plain,
% 156.37/156.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3921_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7120,plain,
% 156.37/156.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1420]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7121,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7120]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1416,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3922_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7112,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1416]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7113,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7112]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1408,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3924_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7096,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1408]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7097,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7096]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1404,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3925_3) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7088,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.68      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1404]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7089,plain,
% 156.37/156.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.68      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7088]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1384,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.68      | ~ c_lessequals(X0,X3,X1)
% 156.37/156.68      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3929_4) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7048,plain,
% 156.37/156.68      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 156.37/156.68      | ~ c_lessequals(X0,X3,X1)
% 156.37/156.68      | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1384]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7049,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.68      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 156.37/156.68      | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7048]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1381,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3930_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7042,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1381]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7043,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7042]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1378,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3931_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7036,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1378]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7037,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7036]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1375,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3932_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7030,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1375]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7031,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7030]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1372,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3933_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7024,plain,
% 156.37/156.68      ( 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1372]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7025,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 156.37/156.68      | 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)
% 156.37/156.68      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7024]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1369,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3934_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7018,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1369]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7019,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.68      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7018]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1366,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3935_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7012,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 156.37/156.68      inference(copy,[status(esa)],[c_1366]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7013,plain,
% 156.37/156.68      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 156.37/156.68      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.68      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.68      inference(rewriting,[status(thm)],[c_7012]) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_1363,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3936_2) ).
% 156.37/156.68  
% 156.37/156.68  cnf(c_7006,plain,
% 156.37/156.68      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.68      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.68      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1363]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_7007,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.69      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 156.37/156.69      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_7006]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1360,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.69      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3937_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_7000,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.69      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1360]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_7001,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 156.37/156.69      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 156.37/156.69      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_7000]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1356,plain,
% 156.37/156.69      ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 156.37/156.69      | ~ class_Int_Onumber(X1)
% 156.37/156.69      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3938_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6992,plain,
% 156.37/156.69      ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 156.37/156.69      | ~ class_Int_Onumber(X1)
% 156.37/156.69      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1356]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6993,plain,
% 156.37/156.69      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.69      | ~ class_Int_Onumber(X0)
% 156.37/156.69      | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6992]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1350,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3940_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6980,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1350]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1348,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3941_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6976,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1348]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1347,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3943_0) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6974,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1347]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1345,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3943_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6970,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1345]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6971,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6970]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1333,plain,
% 156.37/156.69      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 156.37/156.69      | ~ c_lessequals(X0,X1,X3)
% 156.37/156.69      | ~ c_lessequals(X0,X2,X3)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3946_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6946,plain,
% 156.37/156.69      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 156.37/156.69      | ~ c_lessequals(X0,X1,X3)
% 156.37/156.69      | ~ c_lessequals(X0,X2,X3)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1333]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6947,plain,
% 156.37/156.69      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.69      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 156.37/156.69      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.69      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6946]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1330,plain,
% 156.37/156.69      ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 156.37/156.69      | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 156.37/156.69      | ~ c_Type_Otyping(X0,X2,X4) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3947_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6940,plain,
% 156.37/156.69      ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 156.37/156.69      | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 156.37/156.69      | ~ c_Type_Otyping(X0,X2,X4) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1330]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1326,plain,
% 156.37/156.69      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 156.37/156.69      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3949_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6932,plain,
% 156.37/156.69      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 156.37/156.69      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1326]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6933,plain,
% 156.37/156.69      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6932]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1320,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3951_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6920,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1320]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6921,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6920]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1316,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 156.37/156.69      | ~ c_List_Olistsp(X0,X1,X3)
% 156.37/156.69      | ~ c_List_Olistsp(X0,X2,X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3952_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6912,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 156.37/156.69      | ~ c_List_Olistsp(X0,X1,X3)
% 156.37/156.69      | ~ c_List_Olistsp(X0,X2,X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1316]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1314,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3954_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6908,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1314]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6909,plain,
% 156.37/156.69      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.69      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6908]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1312,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3955_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6904,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1312]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6905,plain,
% 156.37/156.69      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.69      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6904]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1310,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 156.37/156.69      | ~ class_Lattices_Olattice(X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3956_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6900,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 156.37/156.69      | ~ class_Lattices_Olattice(X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1310]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6901,plain,
% 156.37/156.69      ( ~ class_Lattices_Olattice(X0)
% 156.37/156.69      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6900]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1308,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olattice(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3957_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6896,plain,
% 156.37/156.69      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olattice(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1308]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6897,plain,
% 156.37/156.69      ( ~ class_Lattices_Olattice(X0)
% 156.37/156.69      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6896]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1306,plain,
% 156.37/156.69      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.69      | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3958_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6892,plain,
% 156.37/156.69      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.69      | c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1306]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6893,plain,
% 156.37/156.69      ( c_List_Odrop(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
% 156.37/156.69      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6892]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1303,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3960_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6886,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1303]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6887,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | c_lessequals(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6886]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1300,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3961_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6880,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1300]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6881,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6880]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1298,plain,
% 156.37/156.69      ( X0 = X1
% 156.37/156.69      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3963_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6876,plain,
% 156.37/156.69      ( X0 = X1
% 156.37/156.69      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1298]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6877,plain,
% 156.37/156.69      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 156.37/156.69      | X0 = X1 ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6876]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1295,plain,
% 156.37/156.69      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3964_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6870,plain,
% 156.37/156.69      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1295]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6871,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6870]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1292,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3965_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6864,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1292]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6865,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6864]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1289,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3966_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6858,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1289]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6859,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6858]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1286,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3967_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6852,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1286]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6853,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6852]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1283,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3968_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6846,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1283]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6847,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6846]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1279,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3978_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6838,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1279]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6839,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6838]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1275,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3979_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6830,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1275]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6831,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6830]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1271,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3980_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6822,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1271]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6823,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_lessequals(X1,X2,X0)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X0)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6822]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1267,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3981_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6814,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X2)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1267]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6815,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_lessequals(X1,X2,X0)
% 156.37/156.69      | ~ c_lessequals(X3,X4,X0)
% 156.37/156.69      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6814]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1265,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3984_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6810,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1265]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1263,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3985_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6806,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1263]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1261,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3986_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6802,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1261]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1259,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3987_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6798,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1259]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1250,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3990_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6780,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1250]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6781,plain,
% 156.37/156.69      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.69      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 156.37/156.69      | c_lessequals(X1,X3,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6780]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1247,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3991_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6774,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 156.37/156.69      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1247]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6775,plain,
% 156.37/156.69      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.69      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 156.37/156.69      | c_lessequals(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6774]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1245,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3992_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6770,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1245]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6771,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.37/156.69      | 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)) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6770]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1243,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3993_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6766,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1243]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6767,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.37/156.69      | 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)) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6766]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1241,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3994_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6762,plain,
% 156.37/156.69      ( 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))
% 156.37/156.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1241]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6763,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.37/156.69      | 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)) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6762]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1238,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3995_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6756,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.69      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1238]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6757,plain,
% 156.37/156.69      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6756]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1235,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.69      | ~ class_Ring__and__Field_Oring__1(X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3996_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6750,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.69      | ~ class_Ring__and__Field_Oring__1(X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1235]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6751,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oring__1(X0)
% 156.37/156.69      | ~ c_lessequals(X1,X2,tc_nat)
% 156.37/156.69      | 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) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6750]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1233,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.69      | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3999_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6746,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.69      | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1233]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6747,plain,
% 156.37/156.69      ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 156.37/156.69      | c_List_Olistsp(X0,X1,X3) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6746]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1231,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.69      | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4000_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6742,plain,
% 156.37/156.69      ( c_List_Olistsp(X0,X1,X2)
% 156.37/156.69      | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1231]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6743,plain,
% 156.37/156.69      ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 156.37/156.69      | c_List_Olistsp(X0,X2,X3) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6742]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1229,plain,
% 156.37/156.69      ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 156.37/156.69      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4001_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6738,plain,
% 156.37/156.69      ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 156.37/156.69      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1229]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6739,plain,
% 156.37/156.69      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 156.37/156.69      | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6738]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1225,plain,
% 156.37/156.69      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4003_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6730,plain,
% 156.37/156.69      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1225]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6731,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6730]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1223,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4007_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6726,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1223]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6727,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6726]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1221,plain,
% 156.37/156.69      ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 156.37/156.69      | ~ hBOOL(hAPP(X0,X1)) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4009_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6722,plain,
% 156.37/156.69      ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 156.37/156.69      | ~ hBOOL(hAPP(X0,X1)) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1221]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1219,plain,
% 156.37/156.69      ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4010_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6718,plain,
% 156.37/156.69      ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1219]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6719,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 156.37/156.69      | c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6718]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1217,plain,
% 156.37/156.69      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4011_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6714,plain,
% 156.37/156.69      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1217]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6715,plain,
% 156.37/156.69      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6714]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1203,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4014_3) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6686,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1203]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6687,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | 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) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6686]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1200,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4020_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6680,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1200]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6681,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6680]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1197,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 156.37/156.69      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4021_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6674,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 156.37/156.69      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1197]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1195,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4022_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6670,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1195]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6671,plain,
% 156.37/156.69      ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.69      | c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6670]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1193,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4023_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6666,plain,
% 156.37/156.69      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1193]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6667,plain,
% 156.37/156.69      ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.69      | c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6666]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1191,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4024_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6662,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1191]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6663,plain,
% 156.37/156.69      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 156.37/156.69      | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6662]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1185,plain,
% 156.37/156.69      ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 156.37/156.69      | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4026_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6650,plain,
% 156.37/156.69      ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 156.37/156.69      | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1185]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6651,plain,
% 156.37/156.69      ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 156.37/156.69      | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6650]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1183,plain,
% 156.37/156.69      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 156.37/156.69      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4027_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6646,plain,
% 156.37/156.69      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 156.37/156.69      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1183]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6647,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 156.37/156.69      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6646]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1180,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4029_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6640,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1180]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6641,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.69      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6640]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1177,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4030_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6634,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1177]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6635,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6634]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1174,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4031_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6628,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1174]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6629,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6628]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1171,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4033_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6622,plain,
% 156.37/156.69      ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1171]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6623,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6622]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1168,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4034_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6616,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1168]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6617,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6616]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1165,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4035_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6610,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1165]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6611,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6610]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1162,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4036_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6604,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1162]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6605,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6604]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1159,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4037_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6598,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 156.37/156.69      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1159]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6599,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6598]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1157,plain,
% 156.37/156.69      ( c_List_Ofilter(X0,c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3)
% 156.37/156.69      | ~ hBOOL(hAPP(X0,X2)) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4038_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6594,plain,
% 156.37/156.69      ( c_List_Ofilter(X0,c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3)
% 156.37/156.69      | ~ hBOOL(hAPP(X0,X2)) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1157]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6595,plain,
% 156.37/156.69      ( ~ hBOOL(hAPP(X0,X1))
% 156.37/156.69      | c_List_Ofilter(X0,c_List_Oreplicate(X2,X1,X3),X3) = c_List_Oreplicate(X2,X1,X3) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6594]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1155,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4039_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6590,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.69      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1155]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1153,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4040_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6586,plain,
% 156.37/156.69      ( 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)
% 156.37/156.69      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1153]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1150,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4042_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6580,plain,
% 156.37/156.69      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ c_lessequals(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1150]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6581,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_lessequals(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6580]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1147,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4043_2) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6574,plain,
% 156.37/156.69      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1147]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6575,plain,
% 156.37/156.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 156.37/156.69      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.37/156.69      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.69      inference(rewriting,[status(thm)],[c_6574]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_1145,plain,
% 156.37/156.69      ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 156.37/156.69      | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 156.37/156.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4045_1) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6570,plain,
% 156.37/156.69      ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 156.37/156.69      | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 156.37/156.69      inference(copy,[status(esa)],[c_1145]) ).
% 156.37/156.69  
% 156.37/156.69  cnf(c_6571,plain,
% 156.37/156.69      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.37/156.69      | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6570]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1143,plain,
% 156.37/156.70      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4046_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6566,plain,
% 156.37/156.70      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1143]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6567,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6566]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1141,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4047_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6562,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1141]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6563,plain,
% 156.37/156.70      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.37/156.70      | 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) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6562]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1139,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4048_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6558,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1139]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6559,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6558]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1136,plain,
% 156.37/156.70      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_lessequals(X1,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4055_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6552,plain,
% 156.37/156.70      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_lessequals(X1,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1136]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6553,plain,
% 156.37/156.70      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.70      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 156.37/156.70      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6552]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1133,plain,
% 156.37/156.70      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4056_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6546,plain,
% 156.37/156.70      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1133]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6547,plain,
% 156.37/156.70      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.70      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 156.37/156.70      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6546]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1130,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4057_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6540,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1130]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6541,plain,
% 156.37/156.70      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6540]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1127,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4058_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6534,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1127]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6535,plain,
% 156.37/156.70      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6534]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1123,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinduct__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4059_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6526,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinduct__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1123]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6527,plain,
% 156.37/156.70      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.70      | hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinduct__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6526]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1119,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinduct__1(X0,X1)))
% 156.37/156.70      | hBOOL(hAPP(X1,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4060_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6518,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinduct__1(X0,X1)))
% 156.37/156.70      | hBOOL(hAPP(X1,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1119]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6519,plain,
% 156.37/156.70      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.70      | hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6518]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1115,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinducts__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4061_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6510,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinducts__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1115]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6511,plain,
% 156.37/156.70      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.70      | hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinducts__2(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6510]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1111,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinducts__1(X0,X1)))
% 156.37/156.70      | hBOOL(hAPP(X1,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4062_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6502,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,v_sko__List__Xlistsp__Xinducts__1(X0,X1)))
% 156.37/156.70      | hBOOL(hAPP(X1,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X0,X2,t_a)
% 156.37/156.70      | ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1111]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6503,plain,
% 156.37/156.70      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.37/156.70      | hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X0)))
% 156.37/156.70      | hBOOL(hAPP(X0,X2))
% 156.37/156.70      | ~ c_List_Olistsp(X1,X2,t_a) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6502]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1101,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4065_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6482,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1101]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6483,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6482]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1099,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Ofilter(X0,X2,X3) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4066_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6478,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Ofilter(X0,X2,X3) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1099]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1097,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Oremove1(X1,c_List_Ofilter(X0,X2,X3),X3) = c_List_Ofilter(X0,X2,X3) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4067_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6474,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Oremove1(X1,c_List_Ofilter(X0,X2,X3),X3) = c_List_Ofilter(X0,X2,X3) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1097]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1095,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4068_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6470,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1095]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6471,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6470]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1093,plain,
% 156.37/156.70      ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4069_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6466,plain,
% 156.37/156.70      ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1093]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1091,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4070_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6462,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1091]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1089,plain,
% 156.37/156.70      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 156.37/156.70      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4071_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6458,plain,
% 156.37/156.70      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 156.37/156.70      | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1089]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6459,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6458]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1087,plain,
% 156.37/156.70      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 156.37/156.70      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4072_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6454,plain,
% 156.37/156.70      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 156.37/156.70      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1087]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6455,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.37/156.70      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6454]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1085,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4073_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6450,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1085]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1083,plain,
% 156.37/156.70      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 156.37/156.70      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4077_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6446,plain,
% 156.37/156.70      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 156.37/156.70      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1083]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1081,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4078_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6442,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1081]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1079,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4079_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6438,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1079]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1077,plain,
% 156.37/156.70      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 156.37/156.70      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4080_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6434,plain,
% 156.37/156.70      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 156.37/156.70      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1077]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6435,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6434]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1076,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4081_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6432,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1076]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1075,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4081_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6430,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1075]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1073,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4081_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6426,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1073]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6427,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6426]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1072,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4082_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6424,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1072]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1071,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4082_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6422,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1071]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1069,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4082_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6418,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1069]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6419,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6418]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1068,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4083_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6416,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1068]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1065,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4083_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6410,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1065]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6411,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6410]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1060,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X0)
% 156.37/156.70      | c_lessequals(X3,X2,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4085_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6400,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X0)
% 156.37/156.70      | c_lessequals(X3,X2,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1060]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1059,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X3,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4085_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6398,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X3,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1059]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1057,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4085_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6394,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1057]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6395,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X1,X3,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6394]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1052,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4087_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6384,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1052]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1049,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4087_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6378,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1049]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6379,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6378]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1048,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.70      | c_lessequals(X1,X3,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4088_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6376,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X2,X3,X0)
% 156.37/156.70      | c_lessequals(X1,X3,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1048]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1047,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X1,X3,X0)
% 156.37/156.70      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4088_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6374,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X1,X3,X0)
% 156.37/156.70      | ~ c_lessequals(X2,X3,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1047]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1045,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4088_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6370,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X3,X1,X2)
% 156.37/156.70      | ~ c_lessequals(X0,X3,X2)
% 156.37/156.70      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1045]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6371,plain,
% 156.37/156.70      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.70      | c_lessequals(X1,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X3,X2,X0)
% 156.37/156.70      | ~ c_lessequals(X1,X3,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6370]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1043,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.70      | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4089_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6366,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.70      | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1043]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6367,plain,
% 156.37/156.70      ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 156.37/156.70      | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6366]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1040,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4090_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6360,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1040]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6361,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 156.37/156.70      | c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6360]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1037,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4091_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6354,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1037]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6355,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6354]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1033,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 156.37/156.70      | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 156.37/156.70      | ~ class_Int_Onumber(X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4092_3) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6346,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 156.37/156.70      | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 156.37/156.70      | ~ class_Int_Onumber(X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1033]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6347,plain,
% 156.37/156.70      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.70      | ~ class_Int_Onumber(X0)
% 156.37/156.70      | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6346]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1027,plain,
% 156.37/156.70      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4096_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6334,plain,
% 156.37/156.70      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1027]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1025,plain,
% 156.37/156.70      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4097_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6330,plain,
% 156.37/156.70      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1025]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1019,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4100_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6318,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1019]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1017,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4101_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6314,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1017]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1014,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4102_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6308,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1014]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1012,plain,
% 156.37/156.70      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4106_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6304,plain,
% 156.37/156.70      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 156.37/156.70      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1012]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6305,plain,
% 156.37/156.70      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.37/156.70      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6304]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1010,plain,
% 156.37/156.70      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 156.37/156.70      | ~ class_Lattices_Olattice(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4107_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6300,plain,
% 156.37/156.70      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 156.37/156.70      | ~ class_Lattices_Olattice(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1010]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6301,plain,
% 156.37/156.70      ( ~ class_Lattices_Olattice(X0)
% 156.37/156.70      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6300]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1008,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X2) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4108_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6296,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X2) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1008]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6297,plain,
% 156.37/156.70      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.70      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6296]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1006,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4109_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6292,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1006]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6293,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6292]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1005,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.70      | c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4115_0) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6290,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X0,tc_nat)
% 156.37/156.70      | c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1005]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1004,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | c_lessequals(X2,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4115_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6288,plain,
% 156.37/156.70      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | c_lessequals(X2,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1004]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1003,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4115_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6286,plain,
% 156.37/156.70      ( c_lessequals(X0,X1,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.70      | ~ c_lessequals(X2,X1,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1003]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_1001,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4117_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6282,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_1001]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6283,plain,
% 156.37/156.70      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.70      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6282]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_999,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4118_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6278,plain,
% 156.37/156.70      ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 156.37/156.70      | ~ class_Divides_Osemiring__div(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_999]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6279,plain,
% 156.37/156.70      ( ~ class_Divides_Osemiring__div(X0)
% 156.37/156.70      | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6278]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_997,plain,
% 156.37/156.70      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 156.37/156.70      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4120_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6274,plain,
% 156.37/156.70      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 156.37/156.70      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_997]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_995,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4121_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6270,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_995]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_992,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X0,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4122_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6264,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X0,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_992]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6265,plain,
% 156.37/156.70      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X0),X0)
% 156.37/156.70      | c_List_Olinorder__class_Osorted(X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6264]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_989,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X0,X2,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4123_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6258,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X0,X2,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_989]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6259,plain,
% 156.37/156.70      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X0),X0)
% 156.37/156.70      | c_List_Olinorder__class_Osorted(X1,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6258]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_986,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X0,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4124_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6252,plain,
% 156.37/156.70      ( c_List_Olinorder__class_Osorted(X0,X1)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X0,X1),X1)
% 156.37/156.70      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_986]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6253,plain,
% 156.37/156.70      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.70      | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X0),X0)
% 156.37/156.70      | c_List_Olinorder__class_Osorted(X2,X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6252]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_984,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4125_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6248,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_984]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_982,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4126_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6244,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_982]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6245,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | 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) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6244]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_980,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4127_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6240,plain,
% 156.37/156.70      ( 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)
% 156.37/156.70      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_980]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6241,plain,
% 156.37/156.70      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.37/156.70      | 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) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6240]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_978,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4128_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6236,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_978]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6237,plain,
% 156.37/156.70      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 156.37/156.70      | c_List_Odistinct(X1,X2) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6236]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_976,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4129_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6232,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_976]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6233,plain,
% 156.37/156.70      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 156.37/156.70      | c_List_Odistinct(X1,X2) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6232]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_974,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Oappend(X2,X0,X1),X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4130_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6228,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Oappend(X2,X0,X1),X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_974]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6229,plain,
% 156.37/156.70      ( ~ c_List_Odistinct(c_List_Oappend(X0,X1,X2),X2)
% 156.37/156.70      | c_List_Odistinct(X1,X2) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6228]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_972,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Oappend(X0,X2,X1),X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4131_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6224,plain,
% 156.37/156.70      ( c_List_Odistinct(X0,X1)
% 156.37/156.70      | ~ c_List_Odistinct(c_List_Oappend(X0,X2,X1),X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_972]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6225,plain,
% 156.37/156.70      ( ~ c_List_Odistinct(c_List_Oappend(X0,X1,X2),X2)
% 156.37/156.70      | c_List_Odistinct(X0,X2) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6224]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_970,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4132_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6220,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 156.37/156.70      inference(copy,[status(esa)],[c_970]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_968,plain,
% 156.37/156.70      ( c_List_Orotate(X0,X1,X2) = X1
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4133_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6216,plain,
% 156.37/156.70      ( c_List_Orotate(X0,X1,X2) = X1
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_968]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6217,plain,
% 156.37/156.70      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 156.37/156.70      | c_List_Orotate(X2,X0,X1) = X0 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6216]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_964,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4135_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6208,plain,
% 156.37/156.70      ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_964]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6209,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6208]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_962,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X2,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4136_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6204,plain,
% 156.37/156.70      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.70      | c_lessequals(X2,X1,X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_962]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_958,plain,
% 156.37/156.70      ( c_List_Orotate(X0,X1,X2) = X1
% 156.37/156.70      | c_Divides_Odiv__class_Omod(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4137_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6196,plain,
% 156.37/156.70      ( c_List_Orotate(X0,X1,X2) = X1
% 156.37/156.70      | c_Divides_Odiv__class_Omod(X0,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_958]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_956,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4138_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6192,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_956]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_954,plain,
% 156.37/156.70      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4139_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6188,plain,
% 156.37/156.70      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil(X2)
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_954]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6189,plain,
% 156.37/156.70      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.70      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil(X1) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6188]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_952,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4140_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6184,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_952]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_950,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Olist_OCons(X1,X2,X3) != c_List_Ofilter(X0,X4,X3) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4141_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6180,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Olist_OCons(X1,X2,X3) != c_List_Ofilter(X0,X4,X3) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_950]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_947,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4146_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6174,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_947]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6175,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6174]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_945,plain,
% 156.37/156.70      ( c_List_Otake(X0,X1,X2) = X1
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4147_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6170,plain,
% 156.37/156.70      ( c_List_Otake(X0,X1,X2) = X1
% 156.37/156.70      | ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_945]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6171,plain,
% 156.37/156.70      ( ~ c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.70      | c_List_Otake(X2,X0,X1) = X0 ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6170]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_943,plain,
% 156.37/156.70      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4148_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6166,plain,
% 156.37/156.70      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_943]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6167,plain,
% 156.37/156.70      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.37/156.70      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6166]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_940,plain,
% 156.37/156.70      ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4149_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6160,plain,
% 156.37/156.70      ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 156.37/156.70      | ~ c_lessequals(X0,X2,tc_nat)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_940]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6161,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 156.37/156.70      | ~ c_lessequals(X1,X2,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6160]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_937,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4150_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6154,plain,
% 156.37/156.70      ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 156.37/156.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_937]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6155,plain,
% 156.37/156.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.70      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 156.37/156.70      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6154]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_935,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,c_List_Oreplicate(X2,X1,X3),X3) = c_List_Olist_ONil(X3) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4151_1) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6150,plain,
% 156.37/156.70      ( hBOOL(hAPP(X0,X1))
% 156.37/156.70      | c_List_Ofilter(X0,c_List_Oreplicate(X2,X1,X3),X3) = c_List_Olist_ONil(X3) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_935]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_932,plain,
% 156.37/156.70      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.70      | c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X0),v_sko__List__Xlistsp__Xcases__2(X1,X0),t_a) = X0
% 156.37/156.70      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4152_2) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6144,plain,
% 156.37/156.70      ( X0 = c_List_Olist_ONil(t_a)
% 156.37/156.70      | c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X0),v_sko__List__Xlistsp__Xcases__2(X1,X0),t_a) = X0
% 156.37/156.70      | ~ c_List_Olistsp(X1,X0,t_a) ),
% 156.37/156.70      inference(copy,[status(esa)],[c_932]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_6145,plain,
% 156.37/156.70      ( ~ c_List_Olistsp(X0,X1,t_a)
% 156.37/156.70      | c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X0,X1),v_sko__List__Xlistsp__Xcases__2(X0,X1),t_a) = X1
% 156.37/156.70      | X1 = c_List_Olist_ONil(t_a) ),
% 156.37/156.70      inference(rewriting,[status(thm)],[c_6144]) ).
% 156.37/156.70  
% 156.37/156.70  cnf(c_930,plain,
% 156.37/156.70      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 156.37/156.70      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 156.37/156.70      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.70      | X2 = X1 ),
% 156.37/156.70      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4155_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6140,plain,
% 156.37/156.71      ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 156.37/156.71      | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 156.37/156.71      | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 156.37/156.71      | X2 = X1 ),
% 156.37/156.71      inference(copy,[status(esa)],[c_930]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_926,plain,
% 156.37/156.71      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.71      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4156_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6132,plain,
% 156.37/156.71      ( c_lessequals(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 156.37/156.71      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_926]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_923,plain,
% 156.37/156.71      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4157_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6126,plain,
% 156.37/156.71      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_923]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6127,plain,
% 156.37/156.71      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 156.37/156.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6126]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_911,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.37/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4160_3) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6102,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.37/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_911]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6103,plain,
% 156.37/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | ~ c_lessequals(X2,X1,X0)
% 156.37/156.71      | X2 = X1 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6102]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_913,plain,
% 156.37/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | X1 = X2
% 156.37/156.71      | ~ c_lessequals(X2,X1,X0) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4160_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6106,plain,
% 156.37/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | X1 = X2
% 156.37/156.71      | ~ c_lessequals(X2,X1,X0) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_913]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6107,plain,
% 156.37/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | ~ c_lessequals(X2,X1,X0)
% 156.37/156.71      | X1 = X2 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6106]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_907,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.37/156.71      | ~ class_Int_Onumber__ring(X2)
% 156.37/156.71      | ~ class_Ring__and__Field_Oidom(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4162_3) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6094,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.37/156.71      | ~ class_Int_Onumber__ring(X2)
% 156.37/156.71      | ~ class_Ring__and__Field_Oidom(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_907]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6095,plain,
% 156.37/156.71      ( ~ class_Ring__and__Field_Oidom(X0)
% 156.37/156.71      | ~ class_Int_Onumber__ring(X0)
% 156.37/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 156.37/156.71      | X2 = X3 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6094]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_904,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 156.37/156.71      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4163_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6088,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 156.37/156.71      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_904]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6089,plain,
% 156.37/156.71      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 156.37/156.71      | X2 = X3 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6088]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_901,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 156.37/156.71      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4164_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6082,plain,
% 156.37/156.71      ( X0 = X1
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 156.37/156.71      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_901]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6083,plain,
% 156.37/156.71      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 156.37/156.71      | X1 = X2 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6082]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_899,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 156.37/156.71      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4165_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6078,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 156.37/156.71      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_899]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_897,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 156.37/156.71      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4166_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6074,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 156.37/156.71      | ~ c_Lambda_Obeta(X0,X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_897]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_895,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 156.37/156.71      | ~ c_Lambda_Obeta(X1,X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4167_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6070,plain,
% 156.37/156.71      ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 156.37/156.71      | ~ c_Lambda_Obeta(X1,X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_895]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_889,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4169_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6058,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_889]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6059,plain,
% 156.37/156.71      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6058]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_886,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4170_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6052,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_886]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6053,plain,
% 156.37/156.71      ( ~ class_Orderings_Opreorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6052]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_880,plain,
% 156.37/156.71      ( ~ c_lessequals(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4172_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6040,plain,
% 156.37/156.71      ( ~ c_lessequals(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_880]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6041,plain,
% 156.37/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6040]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_877,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 156.37/156.71      | ~ c_lessequals(X0,X0,X1)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4173_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6034,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 156.37/156.71      | ~ c_lessequals(X0,X0,X1)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X1) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_877]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6035,plain,
% 156.37/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.71      | ~ c_lessequals(X1,X1,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6034]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_874,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4174_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6028,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_874]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6029,plain,
% 156.37/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6028]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_871,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4175_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6022,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.37/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_871]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6023,plain,
% 156.37/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6022]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_866,plain,
% 156.37/156.71      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 156.37/156.71      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4177_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6012,plain,
% 156.37/156.71      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 156.37/156.71      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_866]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6013,plain,
% 156.37/156.71      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 156.37/156.71      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6012]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_864,plain,
% 156.37/156.71      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 156.37/156.71      | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4178_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6008,plain,
% 156.37/156.71      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 156.37/156.71      | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_864]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6009,plain,
% 156.37/156.71      ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 156.37/156.71      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6008]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_861,plain,
% 156.37/156.71      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X2
% 156.37/156.71      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4179_2) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6002,plain,
% 156.37/156.71      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X2
% 156.37/156.71      | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_861]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_6003,plain,
% 156.37/156.71      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 156.37/156.71      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X4 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_6002]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_859,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4180_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_5998,plain,
% 156.37/156.71      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.37/156.71      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_859]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_857,plain,
% 156.37/156.71      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4181_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_5994,plain,
% 156.37/156.71      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_857]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_855,plain,
% 156.37/156.71      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X0
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4182_1) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_5990,plain,
% 156.37/156.71      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X0
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.37/156.71      inference(copy,[status(esa)],[c_855]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_5991,plain,
% 156.37/156.71      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.37/156.71      | X1 = X0 ),
% 156.37/156.71      inference(rewriting,[status(thm)],[c_5990]) ).
% 156.37/156.71  
% 156.37/156.71  cnf(c_852,plain,
% 156.37/156.71      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 156.37/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.37/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4183_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5984,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 156.48/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_852]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5985,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5984]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_850,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4185_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5980,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_850]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5981,plain,
% 156.48/156.71      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 156.48/156.71      | X1 = X4 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5980]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_848,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4186_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5976,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_848]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5977,plain,
% 156.48/156.71      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 156.48/156.71      | X0 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5976]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_846,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4187_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5972,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_846]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5973,plain,
% 156.48/156.71      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5972]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_844,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4188_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5968,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_844]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5969,plain,
% 156.48/156.71      ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5968]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_842,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4189_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5964,plain,
% 156.48/156.71      ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_842]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5965,plain,
% 156.48/156.71      ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5964]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_839,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4190_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5958,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_839]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5959,plain,
% 156.48/156.71      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 156.48/156.71      | X2 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5958]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_836,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4191_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5952,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_836]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5953,plain,
% 156.48/156.71      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 156.48/156.71      | X2 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5952]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_833,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4192_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5946,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 156.48/156.71      | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_833]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5947,plain,
% 156.48/156.71      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 156.48/156.71      | X1 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5946]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_831,plain,
% 156.48/156.71      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4193_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5942,plain,
% 156.48/156.71      ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_831]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5943,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 156.48/156.71      | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5942]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_823,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4196_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5926,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_823]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5927,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5926]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_820,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4199_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5920,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_820]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5921,plain,
% 156.48/156.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.71      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5920]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_818,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4200_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5916,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_818]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5917,plain,
% 156.48/156.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.71      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5916]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_816,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4201_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5912,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_816]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5913,plain,
% 156.48/156.71      ( ~ class_Lattices_Olattice(X0)
% 156.48/156.71      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5912]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_814,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4202_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5908,plain,
% 156.48/156.71      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_814]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5909,plain,
% 156.48/156.71      ( ~ class_Lattices_Olattice(X0)
% 156.48/156.71      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5908]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_809,plain,
% 156.48/156.71      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 156.48/156.71      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4207_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5898,plain,
% 156.48/156.71      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 156.48/156.71      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_809]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5899,plain,
% 156.48/156.71      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 156.48/156.71      | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5898]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_807,plain,
% 156.48/156.71      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4208_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5894,plain,
% 156.48/156.71      ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_807]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5895,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 156.48/156.71      | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5894]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_804,plain,
% 156.48/156.71      ( c_Type_Otyping(X0,X1,X2)
% 156.48/156.71      | ~ c_Type_Otyping(X0,X3,X2)
% 156.48/156.71      | ~ c_Lambda_Obeta(X3,X1) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4209_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5888,plain,
% 156.48/156.71      ( c_Type_Otyping(X0,X1,X2)
% 156.48/156.71      | ~ c_Type_Otyping(X0,X3,X2)
% 156.48/156.71      | ~ c_Lambda_Obeta(X3,X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_804]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_802,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4214_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5884,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_802]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5885,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5884]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_800,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4215_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5880,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_800]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5881,plain,
% 156.48/156.71      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5880]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_797,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | X0 = c_Suc(X1)
% 156.48/156.71      | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4218_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5874,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | X0 = c_Suc(X1)
% 156.48/156.71      | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_797]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5875,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | X0 = c_Suc(X1) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5874]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_794,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Oremove1(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4219_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5868,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Oremove1(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_794]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5869,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_List_Olinorder__class_Osorted(c_List_Oremove1(X1,X2,X0),X0)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5868]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_791,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Otake(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4220_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5862,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Otake(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_791]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5863,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_List_Olinorder__class_Osorted(c_List_Otake(X1,X2,X0),X0)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5862]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_788,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Odrop(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4221_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5856,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Odrop(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_788]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5857,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_List_Olinorder__class_Osorted(c_List_Odrop(X1,X2,X0),X0)
% 156.48/156.71      | ~ c_List_Olinorder__class_Osorted(X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5856]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_780,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4223_3) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5840,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_780]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5841,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | X1 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5840]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_764,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4227_3) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5808,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_764]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5809,plain,
% 156.48/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.48/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | X1 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5808]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_756,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4229_3) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5792,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_756]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5793,plain,
% 156.48/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.48/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | X2 = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5792]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_753,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4230_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5786,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_753]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5787,plain,
% 156.48/156.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.71      | c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5786]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_749,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4232_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5778,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_749]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_747,plain,
% 156.48/156.71      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4233_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5774,plain,
% 156.48/156.71      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_747]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_744,plain,
% 156.48/156.71      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X1
% 156.48/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4234_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5768,plain,
% 156.48/156.71      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X1
% 156.48/156.71      | ~ c_lessequals(X1,X0,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_744]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5769,plain,
% 156.48/156.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5768]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_741,plain,
% 156.48/156.71      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4235_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5762,plain,
% 156.48/156.71      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0
% 156.48/156.71      | ~ c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_741]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5763,plain,
% 156.48/156.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.71      | ~ c_lessequals(X1,X2,X0)
% 156.48/156.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5762]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_735,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X1 = X0
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4237_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5750,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X1 = X0
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_735]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5751,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X1 = X0 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5750]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_732,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4238_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5744,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X0 = X1
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_732]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5745,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X0 = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5744]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_727,plain,
% 156.48/156.71      ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4240_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5734,plain,
% 156.48/156.71      ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_727]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5735,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5734]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_724,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4241_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5728,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Oorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_724]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5729,plain,
% 156.48/156.71      ( ~ class_Orderings_Oorder(X0)
% 156.48/156.71      | c_lessequals(X1,X2,X0)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5728]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_721,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4242_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5722,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,X2)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | ~ class_Orderings_Opreorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_721]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5723,plain,
% 156.48/156.71      ( ~ class_Orderings_Opreorder(X0)
% 156.48/156.71      | c_lessequals(X1,X2,X0)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5722]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_717,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4244_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5714,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_717]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5715,plain,
% 156.48/156.71      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 156.48/156.71      | X0 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5714]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_715,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4245_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5710,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_715]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5711,plain,
% 156.48/156.71      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 156.48/156.71      | X1 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5710]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_713,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4247_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5706,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_713]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_709,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4249_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5698,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_709]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5699,plain,
% 156.48/156.71      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5698]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_707,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4250_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5694,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_707]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5695,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5694]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_705,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4251_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5690,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_705]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5691,plain,
% 156.48/156.71      ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5690]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_703,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4257_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5686,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_703]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_701,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4258_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5682,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_701]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_699,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4259_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5678,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_699]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_697,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4260_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5674,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_697]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_695,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Ofilter(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4261_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5670,plain,
% 156.48/156.71      ( c_List_Odistinct(c_List_Ofilter(X0,X1,X2),X2)
% 156.48/156.71      | ~ c_List_Odistinct(X1,X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_695]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_693,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.48/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4262_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5666,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 156.48/156.71      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_693]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5667,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5666]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_689,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4264_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5658,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_689]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5659,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5658]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_685,plain,
% 156.48/156.71      ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4266_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5650,plain,
% 156.48/156.71      ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_685]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_683,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4267_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5646,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_683]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_681,plain,
% 156.48/156.71      ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4268_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5642,plain,
% 156.48/156.71      ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_681]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_679,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4272_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5638,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_679]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_677,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X1)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4273_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5634,plain,
% 156.48/156.71      ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1),X1)
% 156.48/156.71      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_677]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5635,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X0),X0),X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5634]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_675,plain,
% 156.48/156.71      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4274_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5630,plain,
% 156.48/156.71      ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_675]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5631,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5630]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_666,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4277_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5612,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | ~ c_lessequals(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_666]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5613,plain,
% 156.48/156.71      ( ~ c_lessequals(X0,X1,tc_nat)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | X0 = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5612]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_664,plain,
% 156.48/156.71      ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4278_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5608,plain,
% 156.48/156.71      ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_664]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5609,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5608]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_662,plain,
% 156.48/156.71      ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4279_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5604,plain,
% 156.48/156.71      ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 156.48/156.71      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_662]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5605,plain,
% 156.48/156.71      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.71      | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5604]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_658,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4281_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5596,plain,
% 156.48/156.71      ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_658]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_655,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xmap__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4282_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5590,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xmap__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_655]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5591,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xmap__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5590]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_652,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xlist__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4283_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5584,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xlist__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_652]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5585,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xlist__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5584]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_649,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xremove1__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4284_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5578,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xremove1__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_649]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5579,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xremove1__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5578]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_646,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xdistinct__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4285_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5572,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xdistinct__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_646]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5573,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xdistinct__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5572]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_643,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xconcat__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4286_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5566,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xconcat__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_643]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5567,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xconcat__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5566]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_640,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xtake__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4287_2) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5560,plain,
% 156.48/156.71      ( hBOOL(hAPP(X0,v_sko__List__Xtake__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1))
% 156.48/156.71      | ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a))) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_640]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5561,plain,
% 156.48/156.71      ( ~ hBOOL(hAPP(X0,c_List_Olist_ONil(t_a)))
% 156.48/156.71      | hBOOL(hAPP(X0,v_sko__List__Xtake__Xinduct__2(X0)))
% 156.48/156.71      | hBOOL(hAPP(X0,X1)) ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5560]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_624,plain,
% 156.48/156.71      ( c_List_Oremdups(X0,X1) = X0
% 156.48/156.71      | c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4292_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5528,plain,
% 156.48/156.71      ( c_List_Oremdups(X0,X1) = X0
% 156.48/156.71      | c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_624]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_622,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | X2 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4293_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5524,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | X2 = X1
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_622]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5525,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 156.48/156.71      | X2 = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5524]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_607,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | X1 = X2
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4297_0) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5494,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | X1 = X2
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_607]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5495,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 156.48/156.71      | X1 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5494]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_604,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.71      | X1 = X0
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4297_3) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5488,plain,
% 156.48/156.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.71      | X1 = X0
% 156.48/156.71      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_604]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5489,plain,
% 156.48/156.71      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 156.48/156.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 156.48/156.71      | X2 = X1 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5488]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_602,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4298_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5484,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_602]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5485,plain,
% 156.48/156.71      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 156.48/156.71      | X0 = X2 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5484]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_600,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4299_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5480,plain,
% 156.48/156.71      ( X0 = X1
% 156.48/156.71      | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_600]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5481,plain,
% 156.48/156.71      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 156.48/156.71      | X1 = X3 ),
% 156.48/156.71      inference(rewriting,[status(thm)],[c_5480]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_598,plain,
% 156.48/156.71      ( 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)
% 156.48/156.71      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4301_1) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5476,plain,
% 156.48/156.71      ( 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)
% 156.48/156.71      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.71      inference(copy,[status(esa)],[c_598]) ).
% 156.48/156.71  
% 156.48/156.71  cnf(c_5477,plain,
% 156.48/156.71      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.48/156.71      | 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) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5476]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_589,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4304_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5458,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_589]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5459,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.72      | c_lessequals(X1,X1,X0)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5458]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_586,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,X2)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4305_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5452,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,X2)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_586]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5453,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.72      | c_lessequals(X1,X2,X0)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5452]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_583,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,X2)
% 156.48/156.72      | c_lessequals(X1,X0,X2)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4306_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5446,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,X2)
% 156.48/156.72      | c_lessequals(X1,X0,X2)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_583]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5447,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.72      | c_lessequals(X1,X2,X0)
% 156.48/156.72      | c_lessequals(X2,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5446]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_581,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 156.48/156.72      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4307_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5442,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 156.48/156.72      | ~ class_Lattices_Olower__semilattice(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_581]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5443,plain,
% 156.48/156.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.72      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5442]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_579,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 156.48/156.72      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4308_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5438,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 156.48/156.72      | ~ class_Lattices_Olattice(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_579]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5439,plain,
% 156.48/156.72      ( ~ class_Lattices_Olattice(X0)
% 156.48/156.72      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5438]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_577,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4310_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5434,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_577]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5435,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5434]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_573,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4312_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5426,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_573]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5427,plain,
% 156.48/156.72      ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5426]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_571,plain,
% 156.48/156.72      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4313_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5422,plain,
% 156.48/156.72      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_571]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5423,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.72      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5422]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_569,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4314_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5418,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_569]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5419,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5418]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_565,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4316_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5410,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_565]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5411,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5410]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_563,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4317_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5406,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_563]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5407,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5406]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_561,plain,
% 156.48/156.72      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4319_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5402,plain,
% 156.48/156.72      ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_561]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5403,plain,
% 156.48/156.72      ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5402]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_556,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.72      | X1 = X0
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4322_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5392,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.72      | X1 = X0
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_556]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5393,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 156.48/156.72      | X1 = X0 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5392]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_551,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X2)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4323_3) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5382,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X2)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_551]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5383,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oidom(X0)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5382]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_549,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4324_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5378,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_549]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5379,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5378]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_547,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4325_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5374,plain,
% 156.48/156.72      ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_547]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_544,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4326_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5368,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_544]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5369,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5368]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_540,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 156.48/156.72      | ~ class_Int_Onumber__ring(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4327_3) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5360,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 156.48/156.72      | ~ class_Int_Onumber__ring(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_540]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5361,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oidom(X0)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 156.48/156.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5360]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_537,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4328_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5354,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_537]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5355,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5354]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_534,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4329_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5348,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_534]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5349,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5348]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_531,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_List_Olist_ONil(X2)
% 156.48/156.72      | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4330_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5342,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_List_Olist_ONil(X2)
% 156.48/156.72      | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_531]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5343,plain,
% 156.48/156.72      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5342]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_528,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4331_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5336,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_528]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5337,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5336]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_524,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4333_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5328,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_524]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_522,plain,
% 156.48/156.72      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4333_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5324,plain,
% 156.48/156.72      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_522]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5325,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5324]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_520,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4334_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5320,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_520]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5321,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 156.48/156.72      | X0 = c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5320]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_514,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4337_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5308,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_514]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5309,plain,
% 156.48/156.72      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 156.48/156.72      | X0 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5308]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_512,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4338_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5304,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_512]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5305,plain,
% 156.48/156.72      ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 156.48/156.72      | X1 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5304]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_510,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Orotate(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4339_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5300,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Orotate(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_510]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5301,plain,
% 156.48/156.72      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 156.48/156.72      | X1 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5300]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_500,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4342_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5280,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_500]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5281,plain,
% 156.48/156.72      ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5280]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_491,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4345_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5262,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_491]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5263,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5262]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_488,plain,
% 156.48/156.72      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4346_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5256,plain,
% 156.48/156.72      ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_488]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5257,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5256]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_484,plain,
% 156.48/156.72      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4348_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5248,plain,
% 156.48/156.72      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_484]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5249,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.72      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5248]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_482,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4350_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5244,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_482]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5245,plain,
% 156.48/156.72      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5244]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_480,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4351_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5240,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_480]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5241,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5240]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_478,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4352_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5236,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_478]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5237,plain,
% 156.48/156.72      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5236]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_474,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4355_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5228,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_474]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5229,plain,
% 156.48/156.72      ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5228]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_470,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4357_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5220,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_470]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5221,plain,
% 156.48/156.72      ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5220]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_468,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4358_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5216,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_468]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5217,plain,
% 156.48/156.72      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5216]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_464,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4364_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5208,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_464]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_462,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4364_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5204,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_462]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5205,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5204]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_460,plain,
% 156.48/156.72      ( c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))
% 156.48/156.72      | c_List_Oremdups(X0,X1) != X0 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4365_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5200,plain,
% 156.48/156.72      ( c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))
% 156.48/156.72      | c_List_Oremdups(X0,X1) != X0 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_460]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5201,plain,
% 156.48/156.72      ( c_List_Oremdups(X0,X1) != X0
% 156.48/156.72      | c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5200]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_458,plain,
% 156.48/156.72      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4368_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5196,plain,
% 156.48/156.72      ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_458]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5197,plain,
% 156.48/156.72      ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5196]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_455,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4372_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5190,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_455]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5191,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5190]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_451,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Power_Opower(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4375_3) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5182,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Power_Opower(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_451]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5183,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5182]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_449,plain,
% 156.48/156.72      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 156.48/156.72      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4376_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5178,plain,
% 156.48/156.72      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 156.48/156.72      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_449]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_446,plain,
% 156.48/156.72      ( 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)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4377_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5172,plain,
% 156.48/156.72      ( 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)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_446]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5173,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 156.48/156.72      | ~ class_Power_Opower(X0)
% 156.48/156.72      | 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) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5172]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_444,plain,
% 156.48/156.72      ( 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)
% 156.48/156.72      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4378_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5168,plain,
% 156.48/156.72      ( 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)
% 156.48/156.72      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_444]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5169,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 156.48/156.72      | 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) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5168]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_442,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4381_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5164,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_442]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5165,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5164]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_440,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4382_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5160,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_440]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5161,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5160]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_436,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4385_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5152,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_436]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5153,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 156.48/156.72      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5152]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_434,plain,
% 156.48/156.72      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4386_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5148,plain,
% 156.48/156.72      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_434]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5149,plain,
% 156.48/156.72      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5148]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_432,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4387_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5144,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_432]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5145,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.72      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5144]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_430,plain,
% 156.48/156.72      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4388_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5140,plain,
% 156.48/156.72      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_430]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5141,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 156.48/156.72      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5140]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_427,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4389_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5134,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_427]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5135,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oidom(X0)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5134]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_424,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4390_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5128,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Oidom(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_424]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5129,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Oidom(X0)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5128]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_420,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4392_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5120,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_420]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5121,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5120]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_418,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4393_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5116,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_418]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5117,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5116]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_416,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4394_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5112,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_416]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5113,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5112]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_414,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4395_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5108,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_414]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5109,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5108]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_412,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4396_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5104,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_412]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5105,plain,
% 156.48/156.72      ( ~ class_Divides_Osemiring__div(X0)
% 156.48/156.72      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5104]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_410,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4397_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5100,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_410]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5101,plain,
% 156.48/156.72      ( ~ class_Divides_Osemiring__div(X0)
% 156.48/156.72      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5100]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_407,plain,
% 156.48/156.72      ( c_List_Olinorder__class_Osorted(c_List_Oremdups(X0,X1),X1)
% 156.48/156.72      | ~ c_List_Olinorder__class_Osorted(X0,X1)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4402_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5094,plain,
% 156.48/156.72      ( c_List_Olinorder__class_Osorted(c_List_Oremdups(X0,X1),X1)
% 156.48/156.72      | ~ c_List_Olinorder__class_Osorted(X0,X1)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_407]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5095,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.72      | c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X0),X0)
% 156.48/156.72      | ~ c_List_Olinorder__class_Osorted(X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5094]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_405,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4403_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5090,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_405]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5091,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5090]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_403,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 156.48/156.72      | ~ class_Power_Opower(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4404_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5086,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 156.48/156.72      | ~ class_Power_Opower(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_403]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5087,plain,
% 156.48/156.72      ( ~ class_Power_Opower(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5086]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_401,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4405_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5082,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_401]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5083,plain,
% 156.48/156.72      ( ~ class_Divides_Osemiring__div(X0)
% 156.48/156.72      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5082]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_399,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4406_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5078,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_399]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5079,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5078]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_397,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4409_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5074,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_397]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5075,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5074]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_395,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4410_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5070,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_395]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5071,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5070]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_393,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4411_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5066,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_393]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5067,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.48/156.72      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5066]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_391,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4413_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5062,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_391]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5063,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5062]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_389,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4414_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5058,plain,
% 156.48/156.72      ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 156.48/156.72      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_389]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5059,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 156.48/156.72      | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5058]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_387,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4415_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5054,plain,
% 156.48/156.72      ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_Divides_Osemiring__div(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_387]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5055,plain,
% 156.48/156.72      ( ~ class_Divides_Osemiring__div(X0)
% 156.48/156.72      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5054]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_385,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4416_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5050,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_385]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5051,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5050]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_381,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4418_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5042,plain,
% 156.48/156.72      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_381]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5043,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 156.48/156.72      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5042]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_379,plain,
% 156.48/156.72      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4432_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5038,plain,
% 156.48/156.72      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_379]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_377,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X0,X1) = X0
% 156.48/156.72      | ~ class_Lattices_Olower__semilattice(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4433_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5034,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X0,X1) = X0
% 156.48/156.72      | ~ class_Lattices_Olower__semilattice(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_377]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5035,plain,
% 156.48/156.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 156.48/156.72      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5034]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_375,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4436_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5030,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_375]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5031,plain,
% 156.48/156.72      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5030]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_373,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4437_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5026,plain,
% 156.48/156.72      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_373]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5027,plain,
% 156.48/156.72      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5026]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_371,plain,
% 156.48/156.72      ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4446_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5022,plain,
% 156.48/156.72      ( c_List_Olistsum(c_List_Orev(X0,X1),X1) = c_List_Olistsum(X0,X1)
% 156.48/156.72      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_371]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5023,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 156.48/156.72      | c_List_Olistsum(c_List_Orev(X1,X0),X0) = c_List_Olistsum(X1,X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5022]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_367,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X2)
% 156.48/156.72      | ~ class_Int_Oring__char__0(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4448_3) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5014,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X2)
% 156.48/156.72      | ~ class_Int_Oring__char__0(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_367]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5015,plain,
% 156.48/156.72      ( ~ class_Int_Oring__char__0(X0)
% 156.48/156.72      | ~ class_Int_Onumber__ring(X0)
% 156.48/156.72      | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 156.48/156.72      | X1 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5014]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_365,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4450_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5010,plain,
% 156.48/156.72      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_365]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5011,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 156.48/156.72      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5010]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_362,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 156.48/156.72      | ~ class_Nat_Osemiring__char__0(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4463_2) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5004,plain,
% 156.48/156.72      ( X0 = X1
% 156.48/156.72      | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 156.48/156.72      | ~ class_Nat_Osemiring__char__0(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_362]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5005,plain,
% 156.48/156.72      ( ~ class_Nat_Osemiring__char__0(X0)
% 156.48/156.72      | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 156.48/156.72      | X1 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_5004]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_360,plain,
% 156.48/156.72      ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 156.48/156.72      | ~ c_Lambda_Obeta(X0,X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4470_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_5000,plain,
% 156.48/156.72      ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 156.48/156.72      | ~ c_Lambda_Obeta(X0,X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_360]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_358,plain,
% 156.48/156.72      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4471_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4996,plain,
% 156.48/156.72      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_358]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4997,plain,
% 156.48/156.72      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4996]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_356,plain,
% 156.48/156.72      ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4472_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4992,plain,
% 156.48/156.72      ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_356]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4993,plain,
% 156.48/156.72      ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4992]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_354,plain,
% 156.48/156.72      ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4473_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4988,plain,
% 156.48/156.72      ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_354]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4989,plain,
% 156.48/156.72      ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4988]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_352,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4474_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4984,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_352]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4985,plain,
% 156.48/156.72      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 156.48/156.72      | X0 = c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4984]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_350,plain,
% 156.48/156.72      ( c_List_Odistinct(X0,X1) | c_List_Oremdups(X0,X1) != X0 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4480_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4980,plain,
% 156.48/156.72      ( c_List_Odistinct(X0,X1) | c_List_Oremdups(X0,X1) != X0 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_350]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_348,plain,
% 156.48/156.72      ( c_List_Oremdups(X0,X1) = X0 | ~ c_List_Odistinct(X0,X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4481_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4976,plain,
% 156.48/156.72      ( c_List_Oremdups(X0,X1) = X0 | ~ c_List_Odistinct(X0,X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_348]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4977,plain,
% 156.48/156.72      ( ~ c_List_Odistinct(X0,X1) | c_List_Oremdups(X0,X1) = X0 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4976]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_346,plain,
% 156.48/156.72      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4482_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4972,plain,
% 156.48/156.72      ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_346]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_344,plain,
% 156.48/156.72      ( class_Lattices_Olattice(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Lattices_Olattice(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4483_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4968,plain,
% 156.48/156.72      ( class_Lattices_Olattice(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Lattices_Olattice(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_344]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_342,plain,
% 156.48/156.72      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4484_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4964,plain,
% 156.48/156.72      ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Orderings_Opreorder(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_342]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_340,plain,
% 156.48/156.72      ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Lattices_Olattice(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4485_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4960,plain,
% 156.48/156.72      ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 156.48/156.72      | ~ class_Lattices_Olattice(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_340]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_334,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4488_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4948,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_334]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4949,plain,
% 156.48/156.72      ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 156.48/156.72      | X0 = c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4948]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_332,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oremdups(X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4489_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4944,plain,
% 156.48/156.72      ( X0 = c_List_Olist_ONil(X1)
% 156.48/156.72      | c_List_Oremdups(X0,X1) != c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_332]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4945,plain,
% 156.48/156.72      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil(X1)
% 156.48/156.72      | X0 = c_List_Olist_ONil(X1) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4944]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_330,plain,
% 156.48/156.72      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4491_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4940,plain,
% 156.48/156.72      ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_330]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4941,plain,
% 156.48/156.72      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 156.48/156.72      | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4940]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_328,plain,
% 156.48/156.72      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4493_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4936,plain,
% 156.48/156.72      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_328]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4937,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.48/156.72      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4936]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_326,plain,
% 156.48/156.72      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4494_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4932,plain,
% 156.48/156.72      ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_326]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4933,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 156.48/156.72      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4932]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_324,plain,
% 156.48/156.72      ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4495_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4928,plain,
% 156.48/156.72      ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0)
% 156.48/156.72      | ~ class_Orderings_Olinorder(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_324]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4929,plain,
% 156.48/156.72      ( ~ class_Orderings_Olinorder(X0)
% 156.48/156.72      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X0),X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4928]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_320,plain,
% 156.48/156.72      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4505_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4920,plain,
% 156.48/156.72      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 156.48/156.72      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_320]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4921,plain,
% 156.48/156.72      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 156.48/156.72      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4920]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_318,plain,
% 156.48/156.72      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4506_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4916,plain,
% 156.48/156.72      ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_318]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4917,plain,
% 156.48/156.72      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4916]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_316,plain,
% 156.48/156.72      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4507_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4912,plain,
% 156.48/156.72      ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_316]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4913,plain,
% 156.48/156.72      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4912]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_312,plain,
% 156.48/156.72      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4509_1) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4904,plain,
% 156.48/156.72      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_312]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4905,plain,
% 156.48/156.72      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 156.48/156.72      inference(rewriting,[status(thm)],[c_4904]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_311,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3704_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4902,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_311]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_310,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3720_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4900,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_310]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_309,plain,
% 156.48/156.72      ( ~ 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3814_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4898,plain,
% 156.48/156.72      ( ~ 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_309]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_308,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4103_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4896,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_308]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_307,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4104_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4894,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_307]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_306,plain,
% 156.48/156.72      ( ~ 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4204_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4892,plain,
% 156.48/156.72      ( ~ 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_306]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_305,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4349_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4890,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_305]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_304,plain,
% 156.48/156.72      ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4353_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4888,plain,
% 156.48/156.72      ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_304]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_301,plain,
% 156.48/156.72      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4361_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4882,plain,
% 156.48/156.72      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_301]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_299,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4367_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4878,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_299]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_297,plain,
% 156.48/156.72      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4370_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4874,plain,
% 156.48/156.72      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 156.48/156.72      inference(copy,[status(esa)],[c_297]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_295,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4374_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4870,plain,
% 156.48/156.72      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_295]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_294,plain,
% 156.48/156.72      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4425_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4868,plain,
% 156.48/156.72      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_294]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_293,plain,
% 156.48/156.72      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4426_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4866,plain,
% 156.48/156.72      ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_293]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_292,plain,
% 156.48/156.72      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4427_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4864,plain,
% 156.48/156.72      ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_292]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_291,plain,
% 156.48/156.72      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4428_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4862,plain,
% 156.48/156.72      ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_291]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_290,plain,
% 156.48/156.72      ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4490_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4860,plain,
% 156.48/156.72      ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_290]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_289,plain,
% 156.48/156.72      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4510_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4858,plain,
% 156.48/156.72      ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_289]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_288,plain,
% 156.48/156.72      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4511_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4856,plain,
% 156.48/156.72      ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_288]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_286,plain,
% 156.48/156.72      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4513_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4852,plain,
% 156.48/156.72      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_286]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_284,plain,
% 156.48/156.72      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4515_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4848,plain,
% 156.48/156.72      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_284]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_282,plain,
% 156.48/156.72      ( c_Suc(X0) != X0 ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4518_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4844,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_282]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_240,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3821_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4801,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_240]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_232,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3853_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4792,plain,
% 156.48/156.72      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_232]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_216,plain,
% 156.48/156.72      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3942_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4775,plain,
% 156.48/156.72      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X0,X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_216]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_201,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_3997_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4759,plain,
% 156.48/156.72      ( 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) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_201]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_193,plain,
% 156.48/156.72      ( 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))) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4017_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4750,plain,
% 156.48/156.72      ( 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))) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_193]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_190,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4028_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4746,plain,
% 156.48/156.72      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_190]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_187,plain,
% 156.48/156.72      ( c_List_Olistrelp(X0,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4044_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4742,plain,
% 156.48/156.72      ( c_List_Olistrelp(X0,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) ),
% 156.48/156.72      inference(copy,[status(esa)],[c_187]) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_179,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 156.48/156.72      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4075_0) ).
% 156.48/156.72  
% 156.48/156.72  cnf(c_4732,plain,
% 156.48/156.72      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_179]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_178,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4076_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4730,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_178]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_162,plain,
% 156.48/156.73      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4161_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4713,plain,
% 156.48/156.73      ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_162]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_156,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4210_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4706,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_156]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_154,plain,
% 156.48/156.73      ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4212_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4703,plain,
% 156.48/156.73      ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_154]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_153,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4213_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4701,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_153]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_152,plain,
% 156.48/156.73      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_fun(X2,tc_bool)) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4216_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4699,plain,
% 156.48/156.73      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,tc_fun(X2,tc_bool)) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_152]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_143,plain,
% 156.48/156.73      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4270_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4688,plain,
% 156.48/156.73      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_143]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_142,plain,
% 156.48/156.73      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4271_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4686,plain,
% 156.48/156.73      ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_142]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_139,plain,
% 156.48/156.73      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4309_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4682,plain,
% 156.48/156.73      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_139]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_136,plain,
% 156.48/156.73      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4362_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4678,plain,
% 156.48/156.73      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_136]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_135,plain,
% 156.48/156.73      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4371_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4676,plain,
% 156.48/156.73      ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_135]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_127,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4407_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4667,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_127]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_124,plain,
% 156.48/156.73      ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4419_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4663,plain,
% 156.48/156.73      ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_124]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_114,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4435_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4651,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_114]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_105,plain,
% 156.48/156.73      ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4447_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4641,plain,
% 156.48/156.73      ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_105]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_103,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4451_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4638,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_103]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_101,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4453_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4634,plain,
% 156.48/156.73      ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_101]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_95,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4459_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4627,plain,
% 156.48/156.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_95]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_92,plain,
% 156.48/156.73      ( c_fequal(X0,X0,X1) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4462_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4623,plain,
% 156.48/156.73      ( c_fequal(X0,X0,X1) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_92]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_88,plain,
% 156.48/156.73      ( c_lessequals(X0,X0,tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4467_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4617,plain,
% 156.48/156.73      ( c_lessequals(X0,X0,tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_88]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_82,plain,
% 156.48/156.73      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4478_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4610,plain,
% 156.48/156.73      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_82]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_81,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4479_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4608,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_81]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_79,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4496_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4605,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_79]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_78,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4497_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4603,plain,
% 156.48/156.73      ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_78]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_72,plain,
% 156.48/156.73      ( c_List_Odistinct(c_List_Olist_ONil(X0),X0) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4503_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4596,plain,
% 156.48/156.73      ( c_List_Odistinct(c_List_Olist_ONil(X0),X0) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_72]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_70,plain,
% 156.48/156.73      ( class_Int_Onumber(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4519_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4593,plain,
% 156.48/156.73      ( class_Int_Onumber(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_70]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_69,plain,
% 156.48/156.73      ( class_Power_Opower(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4520_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4591,plain,
% 156.48/156.73      ( class_Power_Opower(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_69]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_68,plain,
% 156.48/156.73      ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4521_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4589,plain,
% 156.48/156.73      ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_68]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_67,plain,
% 156.48/156.73      ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4522_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4587,plain,
% 156.48/156.73      ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_67]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_66,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4523_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4585,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_66]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_65,plain,
% 156.48/156.73      ( class_Divides_Oring__div(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4524_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4583,plain,
% 156.48/156.73      ( class_Divides_Oring__div(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_65]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_64,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4525_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4581,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_64]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_63,plain,
% 156.48/156.73      ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4526_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4579,plain,
% 156.48/156.73      ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_63]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_62,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4527_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4577,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_62]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_61,plain,
% 156.48/156.73      ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4528_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4575,plain,
% 156.48/156.73      ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_61]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_60,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4529_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4573,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_60]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_59,plain,
% 156.48/156.73      ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4530_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4571,plain,
% 156.48/156.73      ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_59]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_58,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4531_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4569,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_58]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_57,plain,
% 156.48/156.73      ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4532_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4567,plain,
% 156.48/156.73      ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_57]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_56,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4533_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4565,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_56]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_55,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4534_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4563,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_55]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_54,plain,
% 156.48/156.73      ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4535_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4561,plain,
% 156.48/156.73      ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_54]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_53,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4536_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4559,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_53]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_52,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4537_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4557,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_52]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_51,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4538_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4555,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_51]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_50,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4539_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4553,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_50]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_49,plain,
% 156.48/156.73      ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4540_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4551,plain,
% 156.48/156.73      ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_49]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_48,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4541_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4549,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_48]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_47,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4542_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4547,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_47]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_46,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4543_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4545,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_46]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_45,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4544_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4543,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_45]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_44,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4545_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4541,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_44]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_43,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4546_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4539,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_43]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_42,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4547_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4537,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_42]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_41,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4548_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4535,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_41]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_40,plain,
% 156.48/156.73      ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4549_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4533,plain,
% 156.48/156.73      ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_40]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_39,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4550_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4531,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_39]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_38,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4551_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4529,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_38]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_37,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4552_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4527,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_37]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_36,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4553_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4525,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_36]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_35,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4554_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4523,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_35]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_34,plain,
% 156.48/156.73      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4555_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4521,plain,
% 156.48/156.73      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_34]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_33,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4556_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4519,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_33]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_32,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4557_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4517,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_32]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_31,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_bool) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4558_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4515,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_bool) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_31]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_30,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_bool) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4559_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4513,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_bool) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_30]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_29,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_bool) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4560_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4511,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_bool) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_29]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_28,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_bool) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4561_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4509,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_bool) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_28]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_27,plain,
% 156.48/156.73      ( class_Int_Onumber(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4562_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4507,plain,
% 156.48/156.73      ( class_Int_Onumber(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_27]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_26,plain,
% 156.48/156.73      ( class_Power_Opower(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4563_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4505,plain,
% 156.48/156.73      ( class_Power_Opower(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_26]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_25,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4564_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4503,plain,
% 156.48/156.73      ( class_Orderings_Oorder(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_25]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_24,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4565_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4501,plain,
% 156.48/156.73      ( class_Lattices_Olattice(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_24]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_23,plain,
% 156.48/156.73      ( class_Orderings_Olinorder(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4566_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4499,plain,
% 156.48/156.73      ( class_Orderings_Olinorder(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_23]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_22,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4567_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4497,plain,
% 156.48/156.73      ( class_Orderings_Opreorder(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_22]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_21,plain,
% 156.48/156.73      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4568_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4495,plain,
% 156.48/156.73      ( class_Nat_Osemiring__char__0(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_21]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_20,plain,
% 156.48/156.73      ( class_Divides_Osemiring__div(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4569_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4493,plain,
% 156.48/156.73      ( class_Divides_Osemiring__div(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_20]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_19,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4570_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4491,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_19]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_18,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4571_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4489,plain,
% 156.48/156.73      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_18]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_17,plain,
% 156.48/156.73      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4572_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4487,plain,
% 156.48/156.73      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_17]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_16,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4573_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4485,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_16]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_15,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4574_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4483,plain,
% 156.48/156.73      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_15]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_14,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4575_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4481,plain,
% 156.48/156.73      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_14]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_13,plain,
% 156.48/156.73      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4576_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4479,plain,
% 156.48/156.73      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_13]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_12,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4577_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4477,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_12]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_11,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4578_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4475,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_11]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_10,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4579_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4473,plain,
% 156.48/156.73      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_10]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_9,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4580_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4471,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_9]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_8,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4581_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4469,plain,
% 156.48/156.73      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_8]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_7,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4582_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4467,plain,
% 156.48/156.73      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_7]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_6,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4583_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4465,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_6]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_5,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4584_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4463,plain,
% 156.48/156.73      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_5]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4585_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4461,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_4]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_3,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4586_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4459,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_3]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_2,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4587_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4457,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_2]) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_1,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      file('/export/starexec/sandbox2/tmp/iprover_modulo_e5942c.p', c_0_4588_0) ).
% 156.48/156.73  
% 156.48/156.73  cnf(c_4455,plain,
% 156.48/156.73      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 156.48/156.73      inference(copy,[status(esa)],[c_1]) ).
% 156.48/156.73  
% 156.48/156.73  
% 156.48/156.73  
% 156.48/156.73  % ------                             Statistics
% 156.48/156.73  
% 156.48/156.73  % ------ General
% 156.48/156.73  
% 156.48/156.73  % num_of_input_clauses:                 1904
% 156.48/156.73  % num_of_input_neg_conjectures:         1
% 156.48/156.73  % num_of_splits:                        0
% 156.48/156.73  % num_of_split_atoms:                   0
% 156.48/156.73  % num_of_sem_filtered_clauses:          0
% 156.48/156.73  % num_of_subtypes:                      0
% 156.48/156.73  % monotx_restored_types:                0
% 156.48/156.73  % sat_num_of_epr_types:                 0
% 156.48/156.73  % sat_num_of_non_cyclic_types:          0
% 156.48/156.73  % sat_guarded_non_collapsed_types:      0
% 156.48/156.73  % is_epr:                               0
% 156.48/156.73  % is_horn:                              0
% 156.48/156.73  % has_eq:                               1
% 156.48/156.73  % num_pure_diseq_elim:                  0
% 156.48/156.73  % simp_replaced_by:                     0
% 156.48/156.73  % res_preprocessed:                     2
% 156.48/156.73  % prep_upred:                           0
% 156.48/156.73  % prep_unflattend:                      0
% 156.48/156.73  % pred_elim_cands:                      0
% 156.48/156.73  % pred_elim:                            0
% 156.48/156.73  % pred_elim_cl:                         0
% 156.48/156.73  % pred_elim_cycles:                     0
% 156.48/156.73  % forced_gc_time:                       0
% 156.48/156.73  % gc_basic_clause_elim:                 0
% 156.48/156.73  % parsing_time:                         0.106
% 156.48/156.73  % sem_filter_time:                      0.
% 156.48/156.73  % pred_elim_time:                       0.
% 156.48/156.73  % out_proof_time:                       0.
% 156.48/156.73  % monotx_time:                          0.
% 156.48/156.73  % subtype_inf_time:                     0.
% 156.48/156.73  % unif_index_cands_time:                0.
% 156.48/156.73  % unif_index_add_time:                  0.001
% 156.48/156.73  % total_time:                           6.016
% 156.48/156.73  % num_of_symbols:                       163
% 156.48/156.73  % num_of_terms:                         4904
% 156.48/156.73  
% 156.48/156.73  % ------ Propositional Solver
% 156.48/156.73  
% 156.48/156.73  % prop_solver_calls:                    1
% 156.48/156.73  % prop_fast_solver_calls:               3
% 156.48/156.73  % prop_num_of_clauses:                  1892
% 156.48/156.73  % prop_preprocess_simplified:           5566
% 156.48/156.73  % prop_fo_subsumed:                     0
% 156.48/156.73  % prop_solver_time:                     0.
% 156.48/156.73  % prop_fast_solver_time:                0.
% 156.48/156.73  % prop_unsat_core_time:                 0.
% 156.48/156.73  
% 156.48/156.73  % ------ QBF 
% 156.48/156.73  
% 156.48/156.73  % qbf_q_res:                            0
% 156.48/156.73  % qbf_num_tautologies:                  0
% 156.48/156.73  % qbf_prep_cycles:                      0
% 156.48/156.73  
% 156.48/156.73  % ------ BMC1
% 156.48/156.73  
% 156.48/156.73  % bmc1_current_bound:                   -1
% 156.48/156.73  % bmc1_last_solved_bound:               -1
% 156.48/156.73  % bmc1_unsat_core_size:                 -1
% 156.48/156.73  % bmc1_unsat_core_parents_size:         -1
% 156.48/156.73  % bmc1_merge_next_fun:                  0
% 156.48/156.73  % bmc1_unsat_core_clauses_time:         0.
% 156.48/156.73  
% 156.48/156.73  % ------ Instantiation
% 156.48/156.73  
% 156.48/156.73  % inst_num_of_clauses:                  1701
% 156.48/156.73  % inst_num_in_passive:                  0
% 156.48/156.73  % inst_num_in_active:                   0
% 156.48/156.73  % inst_num_in_unprocessed:              1904
% 156.48/156.73  % inst_num_of_loops:                    0
% 156.48/156.73  % inst_num_of_learning_restarts:        0
% 156.48/156.73  % inst_num_moves_active_passive:        0
% 156.48/156.73  % inst_lit_activity:                    0
% 156.48/156.73  % inst_lit_activity_moves:              0
% 156.48/156.73  % inst_num_tautologies:                 0
% 156.48/156.73  % inst_num_prop_implied:                0
% 156.48/156.73  % inst_num_existing_simplified:         0
% 156.48/156.73  % inst_num_eq_res_simplified:           0
% 156.48/156.73  % inst_num_child_elim:                  0
% 156.48/156.73  % inst_num_of_dismatching_blockings:    0
% 156.48/156.73  % inst_num_of_non_proper_insts:         0
% 156.48/156.73  % inst_num_of_duplicates:               0
% 156.48/156.73  % inst_inst_num_from_inst_to_res:       0
% 156.48/156.73  % inst_dismatching_checking_time:       0.
% 156.48/156.73  
% 156.48/156.73  % ------ Resolution
% 156.48/156.73  
% 156.48/156.73  % res_num_of_clauses:                   1799
% 156.48/156.73  % res_num_in_passive:                   0
% 156.48/156.73  % res_num_in_active:                    726
% 156.48/156.73  % res_num_of_loops:                     2
% 156.48/156.73  % res_forward_subset_subsumed:          1004
% 156.48/156.73  % res_backward_subset_subsumed:         0
% 156.48/156.73  % res_forward_subsumed:                 0
% 156.48/156.73  % res_backward_subsumed:                0
% 156.48/156.73  % res_forward_subsumption_resolution:   0
% 156.48/156.73  % res_backward_subsumption_resolution:  0
% 156.48/156.73  % res_clause_to_clause_subsumption:     0
% 156.48/156.73  % res_orphan_elimination:               0
% 156.48/156.73  % res_tautology_del:                    0
% 156.48/156.73  % res_num_eq_res_simplified:            0
% 156.48/156.73  % res_num_sel_changes:                  0
% 156.48/156.73  % res_moves_from_active_to_pass:        0
% 156.48/156.73  
% 156.48/156.73  % Status Unknown
% 156.48/156.73  % Last status :
% 156.48/156.73  % SZS status Unknown
%------------------------------------------------------------------------------