TSTP Solution File: SYO625-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYO625-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 16:55:35 EDT 2022

% Result   : Unknown 0.44s 0.67s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO625-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 05:48:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.20/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40  % Orientation found
% 0.20/0.40  % 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_557370.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e6cef7 | grep -v "SZS"
% 0.20/0.42  
% 0.20/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------  iProver source info 
% 0.20/0.42  
% 0.20/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42  % git: non_committed_changes: true
% 0.20/0.42  % git: last_make_outside_of_git: true
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --ground_splitting                    input
% 0.20/0.42  % --splitting_nvd                       16
% 0.20/0.42  % --non_eq_to_eq                        false
% 0.20/0.42  % --prep_gs_sim                         true
% 0.20/0.42  % --prep_unflatten                      false
% 0.20/0.42  % --prep_res_sim                        true
% 0.20/0.42  % --prep_upred                          true
% 0.20/0.42  % --res_sim_input                       true
% 0.20/0.42  % --clause_weak_htbl                    true
% 0.20/0.42  % --gc_record_bc_elim                   false
% 0.20/0.42  % --symbol_type_check                   false
% 0.20/0.42  % --clausify_out                        false
% 0.20/0.42  % --large_theory_mode                   false
% 0.20/0.42  % --prep_sem_filter                     none
% 0.20/0.42  % --prep_sem_filter_out                 false
% 0.20/0.42  % --preprocessed_out                    false
% 0.20/0.42  % --sub_typing                          false
% 0.20/0.42  % --brand_transform                     false
% 0.20/0.42  % --pure_diseq_elim                     true
% 0.20/0.42  % --min_unsat_core                      false
% 0.20/0.42  % --pred_elim                           true
% 0.20/0.42  % --add_important_lit                   false
% 0.20/0.42  % --soft_assumptions                    false
% 0.20/0.42  % --reset_solvers                       false
% 0.20/0.42  % --bc_imp_inh                          []
% 0.20/0.42  % --conj_cone_tolerance                 1.5
% 0.20/0.42  % --prolific_symb_bound                 500
% 0.20/0.42  % --lt_threshold                        2000
% 0.20/0.42  
% 0.20/0.42  % ------ SAT Options
% 0.20/0.42  
% 0.20/0.42  % --sat_mode                            false
% 0.20/0.42  % --sat_fm_restart_options              ""
% 0.20/0.42  % --sat_gr_def                          false
% 0.20/0.42  % --sat_epr_types                       true
% 0.20/0.42  % --sat_non_cyclic_types                false
% 0.20/0.42  % --sat_finite_models                   false
% 0.20/0.42  % --sat_fm_lemmas                       false
% 0.20/0.42  % --sat_fm_prep                         false
% 0.20/0.42  % --sat_fm_uc_incr                      true
% 0.20/0.42  % --sat_out_model                       small
% 0.20/0.42  % --sat_out_clauses                     false
% 0.20/0.42  
% 0.20/0.42  % ------ QBF Options
% 0.20/0.42  
% 0.20/0.42  % --qbf_mode                            false
% 0.20/0.42  % --qbf_elim_univ                       true
% 0.20/0.42  % --qbf_sk_in                           true
% 0.20/0.42  % --qbf_pred_elim                       true
% 0.20/0.42  % --qbf_split                           32
% 0.20/0.42  
% 0.20/0.42  % ------ BMC1 Options
% 0.20/0.42  
% 0.20/0.42  % --bmc1_incremental                    false
% 0.20/0.42  % --bmc1_axioms                         reachable_all
% 0.20/0.42  % --bmc1_min_bound                      0
% 0.20/0.42  % --bmc1_max_bound                      -1
% 0.20/0.42  % --bmc1_max_bound_default              -1
% 0.20/0.42  % --bmc1_symbol_reachability            true
% 0.20/0.42  % --bmc1_property_lemmas                false
% 0.20/0.42  % --bmc1_k_induction                    false
% 0.20/0.42  % --bmc1_non_equiv_states               false
% 0.20/0.42  % --bmc1_deadlock                       false
% 0.20/0.42  % --bmc1_ucm                            false
% 0.20/0.42  % --bmc1_add_unsat_core                 none
% 0.20/0.42  % --bmc1_unsat_core_children            false
% 0.20/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.42  % --bmc1_out_stat                       full
% 0.20/0.42  % --bmc1_ground_init                    false
% 0.20/0.42  % --bmc1_pre_inst_next_state            false
% 0.20/0.42  % --bmc1_pre_inst_state                 false
% 0.20/0.42  % --bmc1_pre_inst_reach_state           false
% 0.20/0.42  % --bmc1_out_unsat_core                 false
% 0.20/0.42  % --bmc1_aig_witness_out                false
% 0.20/0.42  % --bmc1_verbose                        false
% 0.20/0.42  % --bmc1_dump_clauses_tptp              false
% 0.20/0.47  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.47  % --bmc1_dump_file                      -
% 0.20/0.47  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.47  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.47  % --bmc1_ucm_extend_mode                1
% 0.20/0.47  % --bmc1_ucm_init_mode                  2
% 0.20/0.47  % --bmc1_ucm_cone_mode                  none
% 0.20/0.47  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.47  % --bmc1_ucm_relax_model                4
% 0.20/0.47  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.47  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.47  % --bmc1_ucm_layered_model              none
% 0.20/0.47  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.47  
% 0.20/0.47  % ------ AIG Options
% 0.20/0.47  
% 0.20/0.47  % --aig_mode                            false
% 0.20/0.47  
% 0.20/0.47  % ------ Instantiation Options
% 0.20/0.47  
% 0.20/0.47  % --instantiation_flag                  true
% 0.20/0.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.47  % --inst_solver_per_active              750
% 0.20/0.47  % --inst_solver_calls_frac              0.5
% 0.20/0.47  % --inst_passive_queue_type             priority_queues
% 0.20/0.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48  % --inst_passive_queues_freq            [25;2]
% 0.20/0.48  % --inst_dismatching                    true
% 0.20/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.48  % --inst_prop_sim_given                 true
% 0.20/0.48  % --inst_prop_sim_new                   false
% 0.20/0.48  % --inst_orphan_elimination             true
% 0.20/0.48  % --inst_learning_loop_flag             true
% 0.20/0.48  % --inst_learning_start                 3000
% 0.20/0.48  % --inst_learning_factor                2
% 0.20/0.48  % --inst_start_prop_sim_after_learn     3
% 0.20/0.48  % --inst_sel_renew                      solver
% 0.20/0.48  % --inst_lit_activity_flag              true
% 0.20/0.48  % --inst_out_proof                      true
% 0.20/0.48  
% 0.20/0.48  % ------ Resolution Options
% 0.20/0.48  
% 0.20/0.48  % --resolution_flag                     true
% 0.20/0.48  % --res_lit_sel                         kbo_max
% 0.20/0.48  % --res_to_prop_solver                  none
% 0.20/0.48  % --res_prop_simpl_new                  false
% 0.20/0.48  % --res_prop_simpl_given                false
% 0.20/0.48  % --res_passive_queue_type              priority_queues
% 0.20/0.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.48  % --res_passive_queues_freq             [15;5]
% 0.20/0.48  % --res_forward_subs                    full
% 0.20/0.48  % --res_backward_subs                   full
% 0.20/0.48  % --res_forward_subs_resolution         true
% 0.20/0.48  % --res_backward_subs_resolution        true
% 0.20/0.48  % --res_orphan_elimination              false
% 0.20/0.48  % --res_time_limit                      1000.
% 0.20/0.48  % --res_out_proof                       true
% 0.20/0.48  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_557370.s
% 0.20/0.48  % --modulo                              true
% 0.20/0.48  
% 0.20/0.48  % ------ Combination Options
% 0.20/0.48  
% 0.20/0.48  % --comb_res_mult                       1000
% 0.20/0.48  % --comb_inst_mult                      300
% 0.20/0.48  % ------ 
% 0.20/0.48  
% 0.20/0.48  % ------ Parsing...% successful
% 0.20/0.48  
% 0.20/0.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.48  
% 0.20/0.48  % ------ Proving...
% 0.20/0.48  % ------ Problem Properties 
% 0.20/0.48  
% 0.20/0.48  % 
% 0.20/0.48  % EPR                                   false
% 0.20/0.48  % Horn                                  false
% 0.20/0.48  % Has equality                          false
% 0.20/0.48  
% 0.20/0.48  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  % % ------ Current options:
% 0.20/0.48  
% 0.20/0.48  % ------ Input Options
% 0.20/0.48  
% 0.20/0.48  % --out_options                         all
% 0.20/0.48  % --tptp_safe_out                       true
% 0.20/0.48  % --problem_path                        ""
% 0.20/0.48  % --include_path                        ""
% 0.20/0.48  % --clausifier                          .//eprover
% 0.20/0.48  % --clausifier_options                  --tstp-format  
% 0.20/0.48  % --stdin                               false
% 0.20/0.48  % --dbg_backtrace                       false
% 0.20/0.48  % --dbg_dump_prop_clauses               false
% 0.20/0.48  % --dbg_dump_prop_clauses_file          -
% 0.20/0.48  % --dbg_out_stat                        false
% 0.20/0.48  
% 0.20/0.48  % ------ General Options
% 0.20/0.48  
% 0.20/0.48  % --fof                                 false
% 0.20/0.48  % --time_out_real                       150.
% 0.20/0.48  % --time_out_prep_mult                  0.2
% 0.20/0.48  % --time_out_virtual                    -1.
% 0.20/0.48  % --schedule                            none
% 0.20/0.48  % --ground_splitting                    input
% 0.20/0.48  % --splitting_nvd                       16
% 0.20/0.48  % --non_eq_to_eq                        false
% 0.20/0.48  % --prep_gs_sim                         true
% 0.20/0.48  % --prep_unflatten                      false
% 0.20/0.48  % --prep_res_sim                        true
% 0.20/0.48  % --prep_upred                          true
% 0.20/0.48  % --res_sim_input                       true
% 0.20/0.48  % --clause_weak_htbl                    true
% 0.20/0.48  % --gc_record_bc_elim                   false
% 0.20/0.48  % --symbol_type_check                   false
% 0.20/0.48  % --clausify_out                        false
% 0.20/0.48  % --large_theory_mode                   false
% 0.20/0.48  % --prep_sem_filter                     none
% 0.20/0.48  % --prep_sem_filter_out                 false
% 0.20/0.48  % --preprocessed_out                    false
% 0.20/0.48  % --sub_typing                          false
% 0.20/0.48  % --brand_transform                     false
% 0.20/0.48  % --pure_diseq_elim                     true
% 0.20/0.48  % --min_unsat_core                      false
% 0.20/0.48  % --pred_elim                           true
% 0.20/0.48  % --add_important_lit                   false
% 0.20/0.48  % --soft_assumptions                    false
% 0.20/0.48  % --reset_solvers                       false
% 0.20/0.48  % --bc_imp_inh                          []
% 0.20/0.48  % --conj_cone_tolerance                 1.5
% 0.20/0.48  % --prolific_symb_bound                 500
% 0.20/0.48  % --lt_threshold                        2000
% 0.20/0.48  
% 0.20/0.48  % ------ SAT Options
% 0.20/0.48  
% 0.20/0.48  % --sat_mode                            false
% 0.20/0.48  % --sat_fm_restart_options              ""
% 0.20/0.48  % --sat_gr_def                          false
% 0.20/0.48  % --sat_epr_types                       true
% 0.20/0.48  % --sat_non_cyclic_types                false
% 0.20/0.48  % --sat_finite_models                   false
% 0.20/0.48  % --sat_fm_lemmas                       false
% 0.20/0.48  % --sat_fm_prep                         false
% 0.20/0.48  % --sat_fm_uc_incr                      true
% 0.20/0.48  % --sat_out_model                       small
% 0.20/0.48  % --sat_out_clauses                     false
% 0.20/0.48  
% 0.20/0.48  % ------ QBF Options
% 0.20/0.48  
% 0.20/0.48  % --qbf_mode                            false
% 0.20/0.48  % --qbf_elim_univ                       true
% 0.20/0.48  % --qbf_sk_in                           true
% 0.20/0.48  % --qbf_pred_elim                       true
% 0.20/0.48  % --qbf_split                           32
% 0.20/0.48  
% 0.20/0.48  % ------ BMC1 Options
% 0.20/0.48  
% 0.20/0.48  % --bmc1_incremental                    false
% 0.20/0.48  % --bmc1_axioms                         reachable_all
% 0.20/0.48  % --bmc1_min_bound                      0
% 0.20/0.48  % --bmc1_max_bound                      -1
% 0.20/0.48  % --bmc1_max_bound_default              -1
% 0.20/0.48  % --bmc1_symbol_reachability            true
% 0.20/0.48  % --bmc1_property_lemmas                false
% 0.20/0.48  % --bmc1_k_induction                    false
% 0.20/0.48  % --bmc1_non_equiv_states               false
% 0.20/0.48  % --bmc1_deadlock                       false
% 0.20/0.48  % --bmc1_ucm                            false
% 0.20/0.48  % --bmc1_add_unsat_core                 none
% 0.20/0.48  % --bmc1_unsat_core_children            false
% 0.20/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.48  % --bmc1_out_stat                       full
% 0.20/0.48  % --bmc1_ground_init                    false
% 0.20/0.48  % --bmc1_pre_inst_next_state            false
% 0.20/0.48  % --bmc1_pre_inst_state                 false
% 0.20/0.48  % --bmc1_pre_inst_reach_state           false
% 0.20/0.48  % --bmc1_out_unsat_core                 false
% 0.20/0.48  % --bmc1_aig_witness_out                false
% 0.20/0.48  % --bmc1_verbose                        false
% 0.20/0.48  % --bmc1_dump_clauses_tptp              false
% 0.20/0.48  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.48  % --bmc1_dump_file                      -
% 0.20/0.48  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.48  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.48  % --bmc1_ucm_extend_mode                1
% 0.20/0.48  % --bmc1_ucm_init_mode                  2
% 0.20/0.48  % --bmc1_ucm_cone_mode                  none
% 0.20/0.48  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.48  % --bmc1_ucm_relax_model                4
% 0.20/0.48  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.48  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.48  % --bmc1_ucm_layered_model              none
% 0.20/0.48  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.48  
% 0.20/0.48  % ------ AIG Options
% 0.20/0.48  
% 0.20/0.48  % --aig_mode                            false
% 0.20/0.48  
% 0.20/0.48  % ------ Instantiation Options
% 0.20/0.48  
% 0.20/0.48  % --instantiation_flag                  true
% 0.20/0.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.48  % --inst_solver_per_active              750
% 0.20/0.48  % --inst_solver_calls_frac              0.5
% 0.20/0.48  % --inst_passive_queue_type             priority_queues
% 0.20/0.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48  % --inst_passive_queues_freq            [25;2]
% 0.20/0.48  % --inst_dismatching                    true
% 0.20/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.48  % --inst_prop_sim_given                 true
% 0.20/0.48  % --inst_prop_sim_new                   false
% 0.20/0.48  % --inst_orphan_elimination             true
% 0.20/0.48  % --inst_learning_loop_flag             true
% 0.20/0.48  % --inst_learning_start                 3000
% 0.20/0.48  % --inst_learning_factor                2
% 0.20/0.48  % --inst_start_prop_sim_after_learn     3
% 0.20/0.48  % --inst_sel_renew                      solver
% 0.20/0.48  % --inst_lit_activity_flag              true
% 0.20/0.48  % --inst_out_proof                      true
% 0.20/0.48  
% 0.20/0.48  % ------ Resolution Options
% 0.20/0.48  
% 0.20/0.48  % --resolution_flag                     true
% 0.20/0.48  % --res_lit_sel                         kbo_max
% 0.20/0.48  % --res_to_prop_solver                  none
% 0.20/0.48  % --res_prop_simpl_new                  false
% 0.20/0.48  % --res_prop_simpl_given                false
% 0.20/0.48  % --res_passive_queue_type              priority_queues
% 0.20/0.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.48  % --res_passive_queues_freq             [15;5]
% 0.20/0.48  % --res_forward_subs                    full
% 0.20/0.48  % --res_backward_subs                   full
% 0.20/0.48  % --res_forward_subs_resolution         true
% 0.20/0.48  % --res_backward_subs_resolution        true
% 0.20/0.48  % --res_orphan_elimination              false
% 0.20/0.48  % --res_time_limit                      1000.
% 0.20/0.48  % --res_out_proof                       true
% 0.20/0.48  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_557370.s
% 0.20/0.48  % --modulo                              true
% 0.20/0.48  
% 0.20/0.48  % ------ Combination Options
% 0.20/0.48  
% 0.20/0.48  % --comb_res_mult                       1000
% 0.20/0.48  % --comb_inst_mult                      300
% 0.20/0.48  % ------ 
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  % ------ Proving...
% 0.20/0.48  % warning:  shown sat in sat incomplete mode 
% 0.20/0.48  % 
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  cnf(c_117,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X3),X1)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X0),X8)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_15) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_505,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X3),X1)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X0),X8)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_117]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_506,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_505]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_116,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X2)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X1),X8)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_14) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_503,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X2)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X1),X8)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_116]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_504,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_503]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_115,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X3)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X2),X8)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_13) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_501,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X3)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X2),X8)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_115]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_502,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_501]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_114,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X6),X4)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X3),X8)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_12) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_499,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X6),X4)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X3),X8)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_114]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_500,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_499]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_113,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X5)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X4),X8)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_11) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_497,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X5)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X4),X8)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_113]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_498,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_497]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_112,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X8),X6)
% 0.20/0.48      | ~ le(s(X5),X8)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_10) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_495,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X8),X6)
% 0.20/0.48      | ~ le(s(X5),X8)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_112]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_496,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X2),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_495]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_111,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_9) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_493,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_111]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_494,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X0),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_493]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_109,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_7) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_489,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_109]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_490,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_489]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_108,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_6) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_487,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X1),X2) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_108]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_488,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X2)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X1),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_487]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_107,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_5) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_485,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X2),X3) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_107]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_486,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X3)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X2),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_485]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_106,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_4) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_483,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X3),X4) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_106]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_484,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X6),X4)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X3),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_483]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_105,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_3) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_481,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X4),X5) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_105]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_482,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X5)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X4),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_481]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_104,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_2) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_479,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X5),X6) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_104]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_480,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X8),X6)
% 0.20/0.48      | ~ le(s(X5),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_479]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_103,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_1) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_477,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_103]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_478,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_477]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_102,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X7),X8) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_0) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_475,plain,
% 0.20/0.48      ( ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X7),X8) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_102]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_476,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X4),X5)
% 0.20/0.48      | ~ le(s(X5),X6)
% 0.20/0.48      | ~ le(s(X6),X7)
% 0.20/0.48      | ~ le(s(X7),X8)
% 0.20/0.48      | ~ eq(f(X0),a6)
% 0.20/0.48      | ~ eq(f(X1),a6)
% 0.20/0.48      | ~ eq(f(X2),a6)
% 0.20/0.48      | ~ eq(f(X3),a6)
% 0.20/0.48      | ~ eq(f(X4),a6)
% 0.20/0.48      | ~ eq(f(X5),a6)
% 0.20/0.48      | ~ eq(f(X6),a6)
% 0.20/0.48      | ~ eq(f(X7),a6)
% 0.20/0.48      | ~ eq(f(X8),a6) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_475]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_100,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X3),X1)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X0),X8)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X8),a5) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_15) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_471,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X3),X1)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X0),X8)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X8),a5) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_100]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_472,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_471]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_99,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X2)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X1),X8)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X8),a5) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_14) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_469,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ le(s(X2),X3)
% 0.20/0.48      | ~ le(s(X4),X2)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X1),X8)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X8),a5) ),
% 0.20/0.48      inference(copy,[status(esa)],[c_99]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_470,plain,
% 0.20/0.48      ( ~ le(s(X0),X1)
% 0.20/0.48      | ~ le(s(X2),X0)
% 0.20/0.48      | ~ le(s(X3),X2)
% 0.20/0.48      | ~ le(s(X4),X3)
% 0.20/0.48      | ~ le(s(X5),X4)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ eq(f(X8),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5) ),
% 0.20/0.48      inference(rewriting,[status(thm)],[c_469]) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_98,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X3)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X2),X8)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.48      | ~ eq(f(X7),a5)
% 0.20/0.48      | ~ eq(f(X8),a5) ),
% 0.20/0.48      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_13) ).
% 0.20/0.48  
% 0.20/0.48  cnf(c_467,plain,
% 0.20/0.48      ( ~ eq(f(X0),a5)
% 0.20/0.48      | ~ eq(f(X1),a5)
% 0.20/0.48      | ~ eq(f(X2),a5)
% 0.20/0.48      | ~ le(s(X3),X4)
% 0.20/0.48      | ~ le(s(X5),X3)
% 0.20/0.48      | ~ le(s(X6),X5)
% 0.20/0.48      | ~ le(s(X7),X6)
% 0.20/0.48      | ~ le(s(X8),X7)
% 0.20/0.48      | ~ le(s(X2),X8)
% 0.20/0.48      | ~ le(s(X1),X2)
% 0.20/0.48      | ~ le(s(X0),X1)
% 0.20/0.48      | ~ eq(f(X4),a5)
% 0.20/0.48      | ~ eq(f(X3),a5)
% 0.20/0.48      | ~ eq(f(X5),a5)
% 0.20/0.48      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_98]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_468,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_467]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_97,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X4)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X3),X8)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_12) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_465,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X4)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X3),X8)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_97]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_466,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_465]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_96,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X5)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X4),X8)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_11) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_463,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X5)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X4),X8)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_96]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_464,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_463]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_95,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X8),X6)
% 0.20/0.49      | ~ le(s(X5),X8)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_10) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_461,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X8),X6)
% 0.20/0.49      | ~ le(s(X5),X8)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_95]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_462,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X2),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_461]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_94,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_9) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_459,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_94]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_460,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X0),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_459]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_92,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_7) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_455,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_92]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_456,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_455]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_91,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_6) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_453,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_91]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_454,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X4),X2)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X1),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_453]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_90,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_5) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_451,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_90]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_452,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X5),X3)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X2),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_451]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_89,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_4) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_449,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_89]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_450,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X4)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X3),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_449]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_88,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_3) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_447,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_88]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_448,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X5)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X4),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_447]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_87,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_2) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_445,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_87]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_446,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X8),X6)
% 0.20/0.49      | ~ le(s(X5),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_445]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_86,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_1) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_443,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_86]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_444,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_443]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_85,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X7),X8) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_0) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_441,plain,
% 0.20/0.49      ( ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X7),X8) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_85]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_442,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ eq(f(X0),a5)
% 0.20/0.49      | ~ eq(f(X1),a5)
% 0.20/0.49      | ~ eq(f(X2),a5)
% 0.20/0.49      | ~ eq(f(X3),a5)
% 0.20/0.49      | ~ eq(f(X4),a5)
% 0.20/0.49      | ~ eq(f(X5),a5)
% 0.20/0.49      | ~ eq(f(X6),a5)
% 0.20/0.49      | ~ eq(f(X7),a5)
% 0.20/0.49      | ~ eq(f(X8),a5) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_441]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_83,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X3),X1)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X0),X8)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_15) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_437,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X3),X1)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X0),X8)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_438,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_437]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_82,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X4),X2)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X1),X8)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_14) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_435,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X4),X2)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X1),X8)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_82]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_436,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_435]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_81,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X5),X3)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X2),X8)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_13) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_433,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X5),X3)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X2),X8)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_434,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_433]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_80,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X4)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X3),X8)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_12) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_431,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X6),X4)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X3),X8)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_80]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_432,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_431]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_79,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X5)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X4),X8)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_11) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_429,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X7),X5)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ le(s(X4),X8)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_79]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_430,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_429]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_78,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X8),X6)
% 0.20/0.49      | ~ le(s(X5),X8)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_10) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_427,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X8),X6)
% 0.20/0.49      | ~ le(s(X5),X8)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X8),a4) ),
% 0.20/0.49      inference(copy,[status(esa)],[c_78]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_428,plain,
% 0.20/0.49      ( ~ le(s(X0),X1)
% 0.20/0.49      | ~ le(s(X2),X0)
% 0.20/0.49      | ~ le(s(X3),X2)
% 0.20/0.49      | ~ le(s(X4),X3)
% 0.20/0.49      | ~ le(s(X5),X4)
% 0.20/0.49      | ~ le(s(X6),X5)
% 0.20/0.49      | ~ le(s(X7),X6)
% 0.20/0.49      | ~ le(s(X8),X7)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X2),a4) ),
% 0.20/0.49      inference(rewriting,[status(thm)],[c_427]) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_77,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.49      | ~ eq(f(X4),a4)
% 0.20/0.49      | ~ eq(f(X5),a4)
% 0.20/0.49      | ~ eq(f(X6),a4)
% 0.20/0.49      | ~ le(s(X7),X8)
% 0.20/0.49      | ~ le(s(X6),X7)
% 0.20/0.49      | ~ le(s(X5),X6)
% 0.20/0.49      | ~ le(s(X4),X5)
% 0.20/0.49      | ~ le(s(X3),X4)
% 0.20/0.49      | ~ le(s(X2),X3)
% 0.20/0.49      | ~ le(s(X1),X2)
% 0.20/0.49      | ~ le(s(X0),X1)
% 0.20/0.49      | ~ eq(f(X8),a4)
% 0.20/0.49      | ~ eq(f(X7),a4) ),
% 0.20/0.49      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_9) ).
% 0.20/0.49  
% 0.20/0.49  cnf(c_425,plain,
% 0.20/0.49      ( ~ eq(f(X0),a4)
% 0.20/0.49      | ~ eq(f(X1),a4)
% 0.20/0.49      | ~ eq(f(X2),a4)
% 0.20/0.49      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_426,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X0),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_425]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_75,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_7) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_421,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_75]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_422,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_421]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_74,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_6) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_419,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_74]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_420,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X2)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X1),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_419]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_73,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_5) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_417,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_73]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_418,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X3)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X2),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_417]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_72,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_4) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_415,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_72]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_416,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X4)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X3),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_415]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_71,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_3) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_413,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_71]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_414,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X5)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X4),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_413]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_70,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_2) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_411,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_70]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_412,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X8),X6)
% 0.20/0.50      | ~ le(s(X5),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_411]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_69,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_1) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_409,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_69]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_410,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_409]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_68,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X7),X8) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_0) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_407,plain,
% 0.20/0.50      ( ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X7),X8) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_68]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_408,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ eq(f(X0),a4)
% 0.20/0.50      | ~ eq(f(X1),a4)
% 0.20/0.50      | ~ eq(f(X2),a4)
% 0.20/0.50      | ~ eq(f(X3),a4)
% 0.20/0.50      | ~ eq(f(X4),a4)
% 0.20/0.50      | ~ eq(f(X5),a4)
% 0.20/0.50      | ~ eq(f(X6),a4)
% 0.20/0.50      | ~ eq(f(X7),a4)
% 0.20/0.50      | ~ eq(f(X8),a4) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_407]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_66,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X3),X1)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X0),X8)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_15) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_403,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X3),X1)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X0),X8)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_404,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_403]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_65,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X2)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X1),X8)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_14) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_401,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X2)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X1),X8)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_402,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_401]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_64,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X3)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X2),X8)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_13) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_399,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X3)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X2),X8)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_400,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_399]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_63,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X4)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X3),X8)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_12) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_397,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X4)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X3),X8)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_398,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_397]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_62,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X5)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X4),X8)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_11) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_395,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X5)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X4),X8)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_396,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_395]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_61,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X8),X6)
% 0.20/0.50      | ~ le(s(X5),X8)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_10) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_393,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X8),X6)
% 0.20/0.50      | ~ le(s(X5),X8)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X8),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_394,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X2),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_393]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_60,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_9) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_391,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_392,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X0),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_391]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_58,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_7) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_387,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X0),X1) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_388,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X0)
% 0.20/0.50      | ~ le(s(X3),X2)
% 0.20/0.50      | ~ le(s(X4),X3)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_387]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_57,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_6) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_385,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X1),X2) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_57]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_386,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X2)
% 0.20/0.50      | ~ le(s(X5),X4)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X1),X8)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_385]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_56,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_5) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_383,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X2),X3) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_384,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X3)
% 0.20/0.50      | ~ le(s(X6),X5)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X2),X8)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_383]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_55,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_4) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_381,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X3),X4) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_55]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_382,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X4)
% 0.20/0.50      | ~ le(s(X7),X6)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X3),X8)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_381]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_54,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_3) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_379,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X4),X5) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_380,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X5)
% 0.20/0.50      | ~ le(s(X8),X7)
% 0.20/0.50      | ~ le(s(X4),X8)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_379]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_53,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_2) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_377,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X5),X6) ),
% 0.20/0.50      inference(copy,[status(esa)],[c_53]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_378,plain,
% 0.20/0.50      ( ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X6),X7)
% 0.20/0.50      | ~ le(s(X8),X6)
% 0.20/0.50      | ~ le(s(X5),X8)
% 0.20/0.50      | ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3) ),
% 0.20/0.50      inference(rewriting,[status(thm)],[c_377]) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_52,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.50      | ~ eq(f(X1),a3)
% 0.20/0.50      | ~ eq(f(X2),a3)
% 0.20/0.50      | ~ eq(f(X3),a3)
% 0.20/0.50      | ~ eq(f(X4),a3)
% 0.20/0.50      | ~ eq(f(X5),a3)
% 0.20/0.50      | ~ eq(f(X6),a3)
% 0.20/0.50      | ~ eq(f(X7),a3)
% 0.20/0.50      | ~ eq(f(X8),a3)
% 0.20/0.50      | ~ le(s(X0),X1)
% 0.20/0.50      | ~ le(s(X1),X2)
% 0.20/0.50      | ~ le(s(X2),X3)
% 0.20/0.50      | ~ le(s(X3),X4)
% 0.20/0.50      | ~ le(s(X4),X5)
% 0.20/0.50      | ~ le(s(X5),X6)
% 0.20/0.50      | ~ le(s(X7),X8)
% 0.20/0.50      | ~ le(s(X6),X7) ),
% 0.20/0.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_1) ).
% 0.20/0.50  
% 0.20/0.50  cnf(c_375,plain,
% 0.20/0.50      ( ~ eq(f(X0),a3)
% 0.20/0.51      | ~ eq(f(X1),a3)
% 0.20/0.51      | ~ eq(f(X2),a3)
% 0.20/0.51      | ~ eq(f(X3),a3)
% 0.20/0.51      | ~ eq(f(X4),a3)
% 0.20/0.51      | ~ eq(f(X5),a3)
% 0.20/0.51      | ~ eq(f(X6),a3)
% 0.20/0.51      | ~ eq(f(X7),a3)
% 0.20/0.51      | ~ eq(f(X8),a3)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_376,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ eq(f(X0),a3)
% 0.20/0.51      | ~ eq(f(X1),a3)
% 0.20/0.51      | ~ eq(f(X2),a3)
% 0.20/0.51      | ~ eq(f(X3),a3)
% 0.20/0.51      | ~ eq(f(X4),a3)
% 0.20/0.51      | ~ eq(f(X5),a3)
% 0.20/0.51      | ~ eq(f(X6),a3)
% 0.20/0.51      | ~ eq(f(X7),a3)
% 0.20/0.51      | ~ eq(f(X8),a3) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_375]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_51,plain,
% 0.20/0.51      ( ~ eq(f(X0),a3)
% 0.20/0.51      | ~ eq(f(X1),a3)
% 0.20/0.51      | ~ eq(f(X2),a3)
% 0.20/0.51      | ~ eq(f(X3),a3)
% 0.20/0.51      | ~ eq(f(X4),a3)
% 0.20/0.51      | ~ eq(f(X5),a3)
% 0.20/0.51      | ~ eq(f(X6),a3)
% 0.20/0.51      | ~ eq(f(X7),a3)
% 0.20/0.51      | ~ eq(f(X8),a3)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_0) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_373,plain,
% 0.20/0.51      ( ~ eq(f(X0),a3)
% 0.20/0.51      | ~ eq(f(X1),a3)
% 0.20/0.51      | ~ eq(f(X2),a3)
% 0.20/0.51      | ~ eq(f(X3),a3)
% 0.20/0.51      | ~ eq(f(X4),a3)
% 0.20/0.51      | ~ eq(f(X5),a3)
% 0.20/0.51      | ~ eq(f(X6),a3)
% 0.20/0.51      | ~ eq(f(X7),a3)
% 0.20/0.51      | ~ eq(f(X8),a3)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_51]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_374,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ eq(f(X0),a3)
% 0.20/0.51      | ~ eq(f(X1),a3)
% 0.20/0.51      | ~ eq(f(X2),a3)
% 0.20/0.51      | ~ eq(f(X3),a3)
% 0.20/0.51      | ~ eq(f(X4),a3)
% 0.20/0.51      | ~ eq(f(X5),a3)
% 0.20/0.51      | ~ eq(f(X6),a3)
% 0.20/0.51      | ~ eq(f(X7),a3)
% 0.20/0.51      | ~ eq(f(X8),a3) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_373]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_49,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X3),X1)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X0),X8)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_15) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_369,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X3),X1)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X0),X8)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_370,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_369]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_48,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X2)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X1),X8)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_14) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_367,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X2)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X1),X8)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_368,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_367]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_47,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X3)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X2),X8)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_13) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_365,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X3)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X2),X8)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_366,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_365]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_46,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X4)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X3),X8)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_12) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_363,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X4)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X3),X8)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_364,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_363]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_45,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X5)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X4),X8)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_11) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_361,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X5)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X4),X8)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_362,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_361]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_44,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X8),X6)
% 0.20/0.51      | ~ le(s(X5),X8)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_10) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_359,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X8),X6)
% 0.20/0.51      | ~ le(s(X5),X8)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_360,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X2),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_359]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_43,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_9) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_357,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_358,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X0),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_357]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_41,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_7) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_353,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_354,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_353]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_40,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_6) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_351,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_352,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X2)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X1),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_351]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_39,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_5) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_349,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_350,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X3)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X2),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_349]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_38,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_4) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_347,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X3),X4) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_348,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X4)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X3),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_347]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_37,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_3) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_345,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X4),X5) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_37]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_346,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X5)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X4),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_345]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_36,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_2) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_343,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X5),X6) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_344,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X8),X6)
% 0.20/0.51      | ~ le(s(X5),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_343]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_35,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_1) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_341,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_342,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_341]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_34,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_0) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_339,plain,
% 0.20/0.51      ( ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_340,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X6),X7)
% 0.20/0.51      | ~ le(s(X7),X8)
% 0.20/0.51      | ~ eq(f(X0),a2)
% 0.20/0.51      | ~ eq(f(X1),a2)
% 0.20/0.51      | ~ eq(f(X2),a2)
% 0.20/0.51      | ~ eq(f(X3),a2)
% 0.20/0.51      | ~ eq(f(X4),a2)
% 0.20/0.51      | ~ eq(f(X5),a2)
% 0.20/0.51      | ~ eq(f(X6),a2)
% 0.20/0.51      | ~ eq(f(X7),a2)
% 0.20/0.51      | ~ eq(f(X8),a2) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_339]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_32,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X3),X1)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X0),X8)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_15) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_335,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X3),X1)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X0),X8)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_336,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_335]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_31,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X2)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X1),X8)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_14) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_333,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X4),X2)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X1),X8)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_334,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_333]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_30,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X3)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X2),X8)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_13) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_331,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X5),X3)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X2),X8)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_332,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X5),a1) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_331]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_29,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X4)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X3),X8)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_12) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_329,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ le(s(X4),X5)
% 0.20/0.51      | ~ le(s(X6),X4)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X3),X8)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_330,plain,
% 0.20/0.51      ( ~ le(s(X0),X1)
% 0.20/0.51      | ~ le(s(X2),X0)
% 0.20/0.51      | ~ le(s(X3),X2)
% 0.20/0.51      | ~ le(s(X4),X3)
% 0.20/0.51      | ~ le(s(X5),X4)
% 0.20/0.51      | ~ le(s(X6),X5)
% 0.20/0.51      | ~ le(s(X7),X6)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ eq(f(X8),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1) ),
% 0.20/0.51      inference(rewriting,[status(thm)],[c_329]) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_28,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X5)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X4),X8)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.51      | ~ le(s(X1),X2)
% 0.20/0.51      | ~ le(s(X0),X1)
% 0.20/0.51      | ~ eq(f(X6),a1)
% 0.20/0.51      | ~ eq(f(X5),a1)
% 0.20/0.51      | ~ eq(f(X7),a1)
% 0.20/0.51      | ~ eq(f(X8),a1) ),
% 0.20/0.51      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_11) ).
% 0.20/0.51  
% 0.20/0.51  cnf(c_327,plain,
% 0.20/0.51      ( ~ eq(f(X0),a1)
% 0.20/0.51      | ~ eq(f(X1),a1)
% 0.20/0.51      | ~ eq(f(X2),a1)
% 0.20/0.51      | ~ eq(f(X3),a1)
% 0.20/0.51      | ~ eq(f(X4),a1)
% 0.20/0.51      | ~ le(s(X5),X6)
% 0.20/0.51      | ~ le(s(X7),X5)
% 0.20/0.51      | ~ le(s(X8),X7)
% 0.20/0.51      | ~ le(s(X4),X8)
% 0.20/0.51      | ~ le(s(X3),X4)
% 0.20/0.51      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_328,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_327]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_27,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X8),X6)
% 0.20/0.52      | ~ le(s(X5),X8)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X8),a1) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_10) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_325,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X8),X6)
% 0.20/0.52      | ~ le(s(X5),X8)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X8),a1) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_326,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X2),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_325]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_26,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_9) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_323,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_324,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X0),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_323]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_24,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_7) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_319,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_320,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_319]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_23,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_6) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_317,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_318,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X4),X2)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X1),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_317]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_22,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_5) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_315,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_316,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X5),X3)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X2),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_315]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_21,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_4) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_313,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_314,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X6),X4)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X3),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_313]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_20,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_3) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_311,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_312,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X5)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X4),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_311]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_19,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_2) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_309,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_19]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_310,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X8),X6)
% 0.20/0.52      | ~ le(s(X5),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_309]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_18,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_1) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_307,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_308,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_307]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_17,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X7),X8) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_0) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_305,plain,
% 0.20/0.52      ( ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X7),X8) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_306,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ eq(f(X0),a1)
% 0.20/0.52      | ~ eq(f(X1),a1)
% 0.20/0.52      | ~ eq(f(X2),a1)
% 0.20/0.52      | ~ eq(f(X3),a1)
% 0.20/0.52      | ~ eq(f(X4),a1)
% 0.20/0.52      | ~ eq(f(X5),a1)
% 0.20/0.52      | ~ eq(f(X6),a1)
% 0.20/0.52      | ~ eq(f(X7),a1)
% 0.20/0.52      | ~ eq(f(X8),a1) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_305]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_15,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X3),X1)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X0),X8)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_15) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_301,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X3),X1)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X0),X8)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_15]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_302,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_301]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_14,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X4),X2)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X1),X8)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_14) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_299,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X4),X2)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X1),X8)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_300,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_299]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_13,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X5),X3)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X2),X8)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_13) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_297,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X5),X3)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X2),X8)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_298,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_297]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_12,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X6),X4)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X3),X8)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_12) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_295,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X6),X4)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X3),X8)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_296,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_295]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_11,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X5)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X4),X8)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_11) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_293,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X7),X5)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ le(s(X4),X8)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_294,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_293]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_10,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X8),X6)
% 0.20/0.52      | ~ le(s(X5),X8)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_10) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_291,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X8),X6)
% 0.20/0.52      | ~ le(s(X5),X8)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X8),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_292,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X2),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_291]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_9,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_9) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_289,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_290,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X0),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_289]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_7,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_7) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_285,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2)
% 0.20/0.52      | ~ le(s(X0),X1) ),
% 0.20/0.52      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_286,plain,
% 0.20/0.52      ( ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X2),X0)
% 0.20/0.52      | ~ le(s(X3),X2)
% 0.20/0.52      | ~ le(s(X4),X3)
% 0.20/0.52      | ~ le(s(X5),X4)
% 0.20/0.52      | ~ le(s(X6),X5)
% 0.20/0.52      | ~ le(s(X7),X6)
% 0.20/0.52      | ~ le(s(X8),X7)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0) ),
% 0.20/0.52      inference(rewriting,[status(thm)],[c_285]) ).
% 0.20/0.52  
% 0.20/0.52  cnf(c_6,plain,
% 0.20/0.52      ( ~ eq(f(X0),a0)
% 0.20/0.52      | ~ eq(f(X1),a0)
% 0.20/0.52      | ~ eq(f(X2),a0)
% 0.20/0.52      | ~ eq(f(X3),a0)
% 0.20/0.52      | ~ eq(f(X4),a0)
% 0.20/0.52      | ~ eq(f(X5),a0)
% 0.20/0.52      | ~ eq(f(X6),a0)
% 0.20/0.52      | ~ eq(f(X7),a0)
% 0.20/0.52      | ~ eq(f(X8),a0)
% 0.20/0.52      | ~ le(s(X0),X1)
% 0.20/0.52      | ~ le(s(X7),X8)
% 0.20/0.52      | ~ le(s(X6),X7)
% 0.20/0.52      | ~ le(s(X5),X6)
% 0.20/0.52      | ~ le(s(X4),X5)
% 0.20/0.52      | ~ le(s(X3),X4)
% 0.20/0.52      | ~ le(s(X2),X3)
% 0.20/0.52      | ~ le(s(X1),X2) ),
% 0.20/0.52      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_6) ).
% 0.36/0.52  
% 0.36/0.52  cnf(c_283,plain,
% 0.36/0.52      ( ~ eq(f(X0),a0)
% 0.36/0.52      | ~ eq(f(X1),a0)
% 0.36/0.52      | ~ eq(f(X2),a0)
% 0.36/0.52      | ~ eq(f(X3),a0)
% 0.36/0.52      | ~ eq(f(X4),a0)
% 0.36/0.52      | ~ eq(f(X5),a0)
% 0.36/0.52      | ~ eq(f(X6),a0)
% 0.36/0.52      | ~ eq(f(X7),a0)
% 0.36/0.52      | ~ eq(f(X8),a0)
% 0.36/0.52      | ~ le(s(X0),X1)
% 0.36/0.52      | ~ le(s(X7),X8)
% 0.36/0.52      | ~ le(s(X6),X7)
% 0.36/0.52      | ~ le(s(X5),X6)
% 0.36/0.52      | ~ le(s(X4),X5)
% 0.36/0.52      | ~ le(s(X3),X4)
% 0.36/0.52      | ~ le(s(X2),X3)
% 0.36/0.52      | ~ le(s(X1),X2) ),
% 0.36/0.52      inference(copy,[status(esa)],[c_6]) ).
% 0.36/0.52  
% 0.36/0.52  cnf(c_284,plain,
% 0.36/0.52      ( ~ le(s(X0),X1)
% 0.36/0.52      | ~ le(s(X2),X3)
% 0.36/0.52      | ~ le(s(X4),X2)
% 0.36/0.52      | ~ le(s(X5),X4)
% 0.36/0.52      | ~ le(s(X6),X5)
% 0.36/0.52      | ~ le(s(X7),X6)
% 0.36/0.52      | ~ le(s(X8),X7)
% 0.36/0.52      | ~ le(s(X1),X8)
% 0.36/0.52      | ~ eq(f(X0),a0)
% 0.36/0.52      | ~ eq(f(X1),a0)
% 0.36/0.52      | ~ eq(f(X8),a0)
% 0.36/0.52      | ~ eq(f(X7),a0)
% 0.36/0.52      | ~ eq(f(X6),a0)
% 0.36/0.52      | ~ eq(f(X5),a0)
% 0.36/0.52      | ~ eq(f(X4),a0)
% 0.36/0.52      | ~ eq(f(X2),a0)
% 0.36/0.52      | ~ eq(f(X3),a0) ),
% 0.36/0.52      inference(rewriting,[status(thm)],[c_283]) ).
% 0.36/0.52  
% 0.36/0.52  cnf(c_5,plain,
% 0.36/0.52      ( ~ eq(f(X0),a0)
% 0.36/0.52      | ~ eq(f(X1),a0)
% 0.36/0.52      | ~ eq(f(X2),a0)
% 0.36/0.52      | ~ eq(f(X3),a0)
% 0.36/0.52      | ~ eq(f(X4),a0)
% 0.36/0.52      | ~ eq(f(X5),a0)
% 0.36/0.52      | ~ eq(f(X6),a0)
% 0.36/0.52      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X2),X3) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_5) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_281,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X2),X3) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_5]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_282,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X5),X3)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ le(s(X2),X8)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_281]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_4,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X3),X4) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_4) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_279,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X3),X4) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_4]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_280,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X6),X4)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ le(s(X3),X8)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_279]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_3,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_3) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_277,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X4),X5) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_3]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_278,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X7),X5)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ le(s(X4),X8)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_277]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_2,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_2) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_275,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X5),X6) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_2]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_276,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X8),X6)
% 0.36/0.53      | ~ le(s(X5),X8)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_275]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_1,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_1) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_273,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_1]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_274,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_273]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_0,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X7),X8) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_0) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_271,plain,
% 0.36/0.53      ( ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0)
% 0.36/0.53      | ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X7),X8) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_0]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_272,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X1),X2)
% 0.36/0.53      | ~ le(s(X2),X3)
% 0.36/0.53      | ~ le(s(X3),X4)
% 0.36/0.53      | ~ le(s(X4),X5)
% 0.36/0.53      | ~ le(s(X5),X6)
% 0.36/0.53      | ~ le(s(X6),X7)
% 0.36/0.53      | ~ le(s(X7),X8)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0) ),
% 0.36/0.53      inference(rewriting,[status(thm)],[c_271]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_130,plain,
% 0.36/0.53      ( le(X0,X0) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_4_0) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_531,plain,( le(X0,X0) ),inference(copy,[status(esa)],[c_130]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_128,plain,
% 0.36/0.53      ( ~ le(max(X0,X1),X2) | le(X1,X2) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_0) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_527,plain,
% 0.36/0.53      ( ~ le(max(X0,X1),X2) | le(X1,X2) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_128]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_126,plain,
% 0.36/0.53      ( ~ le(max(X0,X1),X2) | le(X0,X2) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_0) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_523,plain,
% 0.36/0.53      ( ~ le(max(X0,X1),X2) | le(X0,X2) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_126]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_119,plain,
% 0.36/0.53      ( eq(f(X0),a0)
% 0.36/0.53      | eq(f(X0),a1)
% 0.36/0.53      | eq(f(X0),a2)
% 0.36/0.53      | eq(f(X0),a3)
% 0.36/0.53      | eq(f(X0),a4)
% 0.36/0.53      | eq(f(X0),a5)
% 0.36/0.53      | eq(f(X0),a6) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_0) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_509,plain,
% 0.36/0.53      ( eq(f(X0),a0)
% 0.36/0.53      | eq(f(X0),a1)
% 0.36/0.53      | eq(f(X0),a2)
% 0.36/0.53      | eq(f(X0),a3)
% 0.36/0.53      | eq(f(X0),a4)
% 0.36/0.53      | eq(f(X0),a5)
% 0.36/0.53      | eq(f(X0),a6) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_119]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_118,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a6)
% 0.36/0.53      | ~ eq(f(X0),a6)
% 0.36/0.53      | ~ eq(f(X2),a6)
% 0.36/0.53      | ~ eq(f(X3),a6)
% 0.36/0.53      | ~ eq(f(X4),a6)
% 0.36/0.53      | ~ eq(f(X5),a6)
% 0.36/0.53      | ~ eq(f(X6),a6)
% 0.36/0.53      | ~ eq(f(X7),a6)
% 0.36/0.53      | ~ eq(f(X8),a6) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_507,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a6)
% 0.36/0.53      | ~ eq(f(X0),a6)
% 0.36/0.53      | ~ eq(f(X2),a6)
% 0.36/0.53      | ~ eq(f(X3),a6)
% 0.36/0.53      | ~ eq(f(X4),a6)
% 0.36/0.53      | ~ eq(f(X5),a6)
% 0.36/0.53      | ~ eq(f(X6),a6)
% 0.36/0.53      | ~ eq(f(X7),a6)
% 0.36/0.53      | ~ eq(f(X8),a6) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_118]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_101,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a5)
% 0.36/0.53      | ~ eq(f(X0),a5)
% 0.36/0.53      | ~ eq(f(X2),a5)
% 0.36/0.53      | ~ eq(f(X3),a5)
% 0.36/0.53      | ~ eq(f(X4),a5)
% 0.36/0.53      | ~ eq(f(X5),a5)
% 0.36/0.53      | ~ eq(f(X6),a5)
% 0.36/0.53      | ~ eq(f(X7),a5)
% 0.36/0.53      | ~ eq(f(X8),a5) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_473,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a5)
% 0.36/0.53      | ~ eq(f(X0),a5)
% 0.36/0.53      | ~ eq(f(X2),a5)
% 0.36/0.53      | ~ eq(f(X3),a5)
% 0.36/0.53      | ~ eq(f(X4),a5)
% 0.36/0.53      | ~ eq(f(X5),a5)
% 0.36/0.53      | ~ eq(f(X6),a5)
% 0.36/0.53      | ~ eq(f(X7),a5)
% 0.36/0.53      | ~ eq(f(X8),a5) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_101]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_84,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a4)
% 0.36/0.53      | ~ eq(f(X0),a4)
% 0.36/0.53      | ~ eq(f(X2),a4)
% 0.36/0.53      | ~ eq(f(X3),a4)
% 0.36/0.53      | ~ eq(f(X4),a4)
% 0.36/0.53      | ~ eq(f(X5),a4)
% 0.36/0.53      | ~ eq(f(X6),a4)
% 0.36/0.53      | ~ eq(f(X7),a4)
% 0.36/0.53      | ~ eq(f(X8),a4) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_439,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a4)
% 0.36/0.53      | ~ eq(f(X0),a4)
% 0.36/0.53      | ~ eq(f(X2),a4)
% 0.36/0.53      | ~ eq(f(X3),a4)
% 0.36/0.53      | ~ eq(f(X4),a4)
% 0.36/0.53      | ~ eq(f(X5),a4)
% 0.36/0.53      | ~ eq(f(X6),a4)
% 0.36/0.53      | ~ eq(f(X7),a4)
% 0.36/0.53      | ~ eq(f(X8),a4) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_84]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_67,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a3)
% 0.36/0.53      | ~ eq(f(X0),a3)
% 0.36/0.53      | ~ eq(f(X2),a3)
% 0.36/0.53      | ~ eq(f(X3),a3)
% 0.36/0.53      | ~ eq(f(X4),a3)
% 0.36/0.53      | ~ eq(f(X5),a3)
% 0.36/0.53      | ~ eq(f(X6),a3)
% 0.36/0.53      | ~ eq(f(X7),a3)
% 0.36/0.53      | ~ eq(f(X8),a3) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_43_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_405,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a3)
% 0.36/0.53      | ~ eq(f(X0),a3)
% 0.36/0.53      | ~ eq(f(X2),a3)
% 0.36/0.53      | ~ eq(f(X3),a3)
% 0.36/0.53      | ~ eq(f(X4),a3)
% 0.36/0.53      | ~ eq(f(X5),a3)
% 0.36/0.53      | ~ eq(f(X6),a3)
% 0.36/0.53      | ~ eq(f(X7),a3)
% 0.36/0.53      | ~ eq(f(X8),a3) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_67]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_50,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a2)
% 0.36/0.53      | ~ eq(f(X0),a2)
% 0.36/0.53      | ~ eq(f(X2),a2)
% 0.36/0.53      | ~ eq(f(X3),a2)
% 0.36/0.53      | ~ eq(f(X4),a2)
% 0.36/0.53      | ~ eq(f(X5),a2)
% 0.36/0.53      | ~ eq(f(X6),a2)
% 0.36/0.53      | ~ eq(f(X7),a2)
% 0.36/0.53      | ~ eq(f(X8),a2) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_42_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_371,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a2)
% 0.36/0.53      | ~ eq(f(X0),a2)
% 0.36/0.53      | ~ eq(f(X2),a2)
% 0.36/0.53      | ~ eq(f(X3),a2)
% 0.36/0.53      | ~ eq(f(X4),a2)
% 0.36/0.53      | ~ eq(f(X5),a2)
% 0.36/0.53      | ~ eq(f(X6),a2)
% 0.36/0.53      | ~ eq(f(X7),a2)
% 0.36/0.53      | ~ eq(f(X8),a2) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_50]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_33,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a1)
% 0.36/0.53      | ~ eq(f(X0),a1)
% 0.36/0.53      | ~ eq(f(X2),a1)
% 0.36/0.53      | ~ eq(f(X3),a1)
% 0.36/0.53      | ~ eq(f(X4),a1)
% 0.36/0.53      | ~ eq(f(X5),a1)
% 0.36/0.53      | ~ eq(f(X6),a1)
% 0.36/0.53      | ~ eq(f(X7),a1)
% 0.36/0.53      | ~ eq(f(X8),a1) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_41_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_337,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a1)
% 0.36/0.53      | ~ eq(f(X0),a1)
% 0.36/0.53      | ~ eq(f(X2),a1)
% 0.36/0.53      | ~ eq(f(X3),a1)
% 0.36/0.53      | ~ eq(f(X4),a1)
% 0.36/0.53      | ~ eq(f(X5),a1)
% 0.36/0.53      | ~ eq(f(X6),a1)
% 0.36/0.53      | ~ eq(f(X7),a1)
% 0.36/0.53      | ~ eq(f(X8),a1) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_33]) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_16,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0) ),
% 0.36/0.53      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_40_16) ).
% 0.36/0.53  
% 0.36/0.53  cnf(c_303,plain,
% 0.36/0.53      ( ~ le(s(X0),X1)
% 0.36/0.53      | ~ le(s(X2),X0)
% 0.36/0.53      | ~ le(s(X3),X2)
% 0.36/0.53      | ~ le(s(X4),X3)
% 0.36/0.53      | ~ le(s(X5),X4)
% 0.36/0.53      | ~ le(s(X6),X5)
% 0.36/0.53      | ~ le(s(X7),X6)
% 0.36/0.53      | ~ le(s(X8),X7)
% 0.36/0.53      | ~ eq(f(X1),a0)
% 0.36/0.53      | ~ eq(f(X0),a0)
% 0.36/0.53      | ~ eq(f(X2),a0)
% 0.36/0.53      | ~ eq(f(X3),a0)
% 0.36/0.53      | ~ eq(f(X4),a0)
% 0.36/0.53      | ~ eq(f(X5),a0)
% 0.36/0.53      | ~ eq(f(X6),a0)
% 0.36/0.53      | ~ eq(f(X7),a0)
% 0.36/0.53      | ~ eq(f(X8),a0) ),
% 0.36/0.53      inference(copy,[status(esa)],[c_16]) ).
% 0.36/0.53  
% 0.36/0.53  
% 0.36/0.53  
% 0.36/0.53  % ------                             Statistics
% 0.36/0.53  
% 0.36/0.53  % ------ General
% 0.36/0.53  
% 0.36/0.53  % num_of_input_clauses:                 131
% 0.36/0.53  % num_of_input_neg_conjectures:         0
% 0.36/0.53  % num_of_splits:                        0
% 0.36/0.53  % num_of_split_atoms:                   0
% 0.36/0.53  % num_of_sem_filtered_clauses:          0
% 0.36/0.53  % num_of_subtypes:                      0
% 0.36/0.53  % monotx_restored_types:                0
% 0.36/0.53  % sat_num_of_epr_types:                 0
% 0.36/0.53  % sat_num_of_non_cyclic_types:          0
% 0.36/0.53  % sat_guarded_non_collapsed_types:      0
% 0.36/0.53  % is_epr:                               0
% 0.36/0.53  % is_horn:                              0
% 0.36/0.53  % has_eq:                               0
% 0.36/0.53  % num_pure_diseq_elim:                  0
% 0.36/0.53  % simp_replaced_by:                     0
% 0.36/0.53  % res_preprocessed:                     0
% 0.36/0.53  % prep_upred:                           0
% 0.36/0.53  % prep_unflattend:                      0
% 0.36/0.53  % pred_elim_cands:                      0
% 0.36/0.53  % pred_elim:                            0
% 0.36/0.53  % pred_elim_cl:                         0
% 0.36/0.53  % pred_elim_cycles:                     0
% 0.36/0.53  % forced_gc_time:                       0
% 0.36/0.53  % gc_basic_clause_elim:                 0
% 0.36/0.53  % parsing_time:                         0.025
% 0.36/0.53  % sem_filter_time:                      0.
% 0.36/0.53  % pred_elim_time:                       0.
% 0.36/0.53  % out_proof_time:                       0.
% 0.36/0.53  % monotx_time:                          0.
% 0.36/0.53  % subtype_inf_time:                     0.
% 0.36/0.53  % unif_index_cands_time:                0.
% 0.36/0.53  % unif_index_add_time:                  0.
% 0.36/0.53  % total_time:                           0.122
% 0.36/0.53  % num_of_symbols:                       37
% 0.36/0.53  % num_of_terms:                         258
% 0.36/0.53  
% 0.36/0.53  % ------ Propositional Solver
% 0.36/0.53  
% 0.36/0.53  % prop_solver_calls:                    1
% 0.36/0.53  % prop_fast_solver_calls:               0
% 0.36/0.53  % prop_num_of_clauses:                  71
% 0.36/0.53  % prop_preprocess_simplified:           453
% 0.36/0.53  % prop_fo_subsumed:                     0
% 0.36/0.53  % prop_solver_time:                     0.
% 0.36/0.53  % prop_fast_solver_time:                0.
% 0.36/0.53  % prop_unsat_core_time:                 0.
% 0.36/0.53  
% 0.36/0.53  % ------ QBF 
% 0.36/0.53  
% 0.36/0.53  % qbf_q_res:                            0
% 0.36/0.53  % qbf_num_tautologies:                  0
% 0.36/0.53  % qbf_prep_cycles:                      0
% 0.36/0.53  
% 0.36/0.53  % ------ BMC1
% 0.36/0.53  
% 0.36/0.53  % bmc1_current_bound:                   -1
% 0.36/0.53  % bmc1_last_solved_bound:               -1
% 0.36/0.53  % bmc1_unsat_core_size:                 -1
% 0.36/0.53  % bmc1_unsat_core_parents_size:         -1
% 0.36/0.53  % bmc1_merge_next_fun:                  0
% 0.36/0.53  % bmc1_unsat_core_clauses_time:         0.
% 0.36/0.53  
% 0.36/0.53  % ------ Instantiation
% 0.36/0.53  
% 0.36/0.53  % inst_num_of_clauses:                  131
% 0.36/0.53  % inst_num_in_passive:                  0
% 0.36/0.53  % inst_num_in_active:                   0
% 0.36/0.53  % inst_num_in_unprocessed:              131
% 0.36/0.53  % inst_num_of_loops:                    0
% 0.36/0.53  % inst_num_of_learning_restarts:        0
% 0.36/0.53  % inst_num_moves_active_passive:        0
% 0.36/0.53  % inst_lit_activity:                    0
% 0.36/0.53  % inst_lit_activity_moves:              0
% 0.36/0.53  % inst_num_tautologies:                 0
% 0.36/0.53  % inst_num_prop_implied:                0
% 0.36/0.53  % inst_num_existing_simplified:         0
% 0.36/0.53  % inst_num_eq_res_simplified:           0
% 0.36/0.53  % inst_num_child_elim:                  0
% 0.36/0.53  % inst_num_of_dismatching_blockings:    0
% 0.36/0.53  % inst_num_of_non_proper_insts:         0
% 0.36/0.53  % inst_num_of_duplicates:               0
% 0.36/0.53  % inst_inst_num_from_inst_to_res:       0
% 0.36/0.53  % inst_dismatching_checking_time:       0.
% 0.36/0.53  
% 0.36/0.53  % ------ Resolution
% 0.36/0.53  
% 0.36/0.53  % res_num_of_clauses:                   236
% 0.36/0.53  % res_num_in_passive:                   0
% 0.36/0.53  % res_num_in_active:                    116
% 0.36/0.53  % res_num_of_loops:                     1
% 0.36/0.53  % res_forward_subset_subsumed:          15
% 0.36/0.53  % res_backward_subset_subsumed:         0
% 0.36/0.53  % res_forward_subsumed:                 0
% 0.36/0.53  % res_backward_subsumed:                0
% 0.36/0.53  % res_forward_subsumption_resolution:   0
% 0.36/0.53  % res_backward_subsumption_resolution:  0
% 0.36/0.53  % res_clause_to_clause_subsumption:     0
% 0.36/0.53  % res_orphan_elimination:               0
% 0.36/0.53  % res_tautology_del:                    0
% 0.36/0.53  % res_num_eq_res_simplified:            0
% 0.36/0.53  % res_num_sel_changes:                  0
% 0.36/0.53  % res_moves_from_active_to_pass:        0
% 0.36/0.53  
% 0.36/0.53  % Status Unknown
% 0.39/0.58  % Orienting using strategy ClausalAll
% 0.39/0.58  % Orientation found
% 0.39/0.58  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_557370.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_58674b | grep -v "SZS"
% 0.39/0.60  
% 0.39/0.60  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.39/0.60  
% 0.39/0.60  % 
% 0.39/0.60  % ------  iProver source info 
% 0.39/0.60  
% 0.39/0.60  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.39/0.60  % git: non_committed_changes: true
% 0.39/0.60  % git: last_make_outside_of_git: true
% 0.39/0.60  
% 0.39/0.60  % 
% 0.39/0.60  % ------ Input Options
% 0.39/0.60  
% 0.39/0.60  % --out_options                         all
% 0.39/0.60  % --tptp_safe_out                       true
% 0.39/0.60  % --problem_path                        ""
% 0.39/0.60  % --include_path                        ""
% 0.39/0.60  % --clausifier                          .//eprover
% 0.39/0.60  % --clausifier_options                  --tstp-format  
% 0.39/0.60  % --stdin                               false
% 0.39/0.60  % --dbg_backtrace                       false
% 0.39/0.60  % --dbg_dump_prop_clauses               false
% 0.39/0.60  % --dbg_dump_prop_clauses_file          -
% 0.39/0.60  % --dbg_out_stat                        false
% 0.39/0.60  
% 0.39/0.60  % ------ General Options
% 0.39/0.60  
% 0.39/0.60  % --fof                                 false
% 0.39/0.60  % --time_out_real                       150.
% 0.39/0.60  % --time_out_prep_mult                  0.2
% 0.39/0.60  % --time_out_virtual                    -1.
% 0.39/0.60  % --schedule                            none
% 0.39/0.60  % --ground_splitting                    input
% 0.39/0.60  % --splitting_nvd                       16
% 0.39/0.60  % --non_eq_to_eq                        false
% 0.39/0.60  % --prep_gs_sim                         true
% 0.39/0.60  % --prep_unflatten                      false
% 0.39/0.60  % --prep_res_sim                        true
% 0.39/0.60  % --prep_upred                          true
% 0.39/0.60  % --res_sim_input                       true
% 0.39/0.60  % --clause_weak_htbl                    true
% 0.39/0.60  % --gc_record_bc_elim                   false
% 0.39/0.60  % --symbol_type_check                   false
% 0.39/0.60  % --clausify_out                        false
% 0.39/0.60  % --large_theory_mode                   false
% 0.39/0.60  % --prep_sem_filter                     none
% 0.39/0.60  % --prep_sem_filter_out                 false
% 0.39/0.60  % --preprocessed_out                    false
% 0.39/0.60  % --sub_typing                          false
% 0.39/0.60  % --brand_transform                     false
% 0.39/0.60  % --pure_diseq_elim                     true
% 0.39/0.60  % --min_unsat_core                      false
% 0.39/0.60  % --pred_elim                           true
% 0.39/0.60  % --add_important_lit                   false
% 0.39/0.60  % --soft_assumptions                    false
% 0.39/0.60  % --reset_solvers                       false
% 0.39/0.60  % --bc_imp_inh                          []
% 0.39/0.60  % --conj_cone_tolerance                 1.5
% 0.39/0.60  % --prolific_symb_bound                 500
% 0.39/0.60  % --lt_threshold                        2000
% 0.39/0.60  
% 0.39/0.60  % ------ SAT Options
% 0.39/0.60  
% 0.39/0.60  % --sat_mode                            false
% 0.39/0.60  % --sat_fm_restart_options              ""
% 0.39/0.60  % --sat_gr_def                          false
% 0.39/0.60  % --sat_epr_types                       true
% 0.39/0.60  % --sat_non_cyclic_types                false
% 0.39/0.60  % --sat_finite_models                   false
% 0.39/0.60  % --sat_fm_lemmas                       false
% 0.39/0.60  % --sat_fm_prep                         false
% 0.39/0.60  % --sat_fm_uc_incr                      true
% 0.39/0.60  % --sat_out_model                       small
% 0.39/0.60  % --sat_out_clauses                     false
% 0.39/0.60  
% 0.39/0.60  % ------ QBF Options
% 0.39/0.60  
% 0.39/0.60  % --qbf_mode                            false
% 0.39/0.60  % --qbf_elim_univ                       true
% 0.39/0.60  % --qbf_sk_in                           true
% 0.39/0.60  % --qbf_pred_elim                       true
% 0.39/0.60  % --qbf_split                           32
% 0.39/0.60  
% 0.39/0.60  % ------ BMC1 Options
% 0.39/0.60  
% 0.39/0.60  % --bmc1_incremental                    false
% 0.39/0.60  % --bmc1_axioms                         reachable_all
% 0.39/0.60  % --bmc1_min_bound                      0
% 0.39/0.60  % --bmc1_max_bound                      -1
% 0.39/0.60  % --bmc1_max_bound_default              -1
% 0.39/0.60  % --bmc1_symbol_reachability            true
% 0.39/0.60  % --bmc1_property_lemmas                false
% 0.39/0.60  % --bmc1_k_induction                    false
% 0.39/0.60  % --bmc1_non_equiv_states               false
% 0.39/0.60  % --bmc1_deadlock                       false
% 0.39/0.60  % --bmc1_ucm                            false
% 0.39/0.60  % --bmc1_add_unsat_core                 none
% 0.39/0.60  % --bmc1_unsat_core_children            false
% 0.39/0.60  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.39/0.60  % --bmc1_out_stat                       full
% 0.39/0.60  % --bmc1_ground_init                    false
% 0.39/0.60  % --bmc1_pre_inst_next_state            false
% 0.39/0.60  % --bmc1_pre_inst_state                 false
% 0.39/0.60  % --bmc1_pre_inst_reach_state           false
% 0.39/0.60  % --bmc1_out_unsat_core                 false
% 0.39/0.60  % --bmc1_aig_witness_out                false
% 0.39/0.60  % --bmc1_verbose                        false
% 0.39/0.60  % --bmc1_dump_clauses_tptp              false
% 0.44/0.63  % --bmc1_dump_unsat_core_tptp           false
% 0.44/0.63  % --bmc1_dump_file                      -
% 0.44/0.63  % --bmc1_ucm_expand_uc_limit            128
% 0.44/0.63  % --bmc1_ucm_n_expand_iterations        6
% 0.44/0.63  % --bmc1_ucm_extend_mode                1
% 0.44/0.63  % --bmc1_ucm_init_mode                  2
% 0.44/0.63  % --bmc1_ucm_cone_mode                  none
% 0.44/0.63  % --bmc1_ucm_reduced_relation_type      0
% 0.44/0.63  % --bmc1_ucm_relax_model                4
% 0.44/0.63  % --bmc1_ucm_full_tr_after_sat          true
% 0.44/0.63  % --bmc1_ucm_expand_neg_assumptions     false
% 0.44/0.63  % --bmc1_ucm_layered_model              none
% 0.44/0.63  % --bmc1_ucm_max_lemma_size             10
% 0.44/0.63  
% 0.44/0.63  % ------ AIG Options
% 0.44/0.63  
% 0.44/0.63  % --aig_mode                            false
% 0.44/0.63  
% 0.44/0.63  % ------ Instantiation Options
% 0.44/0.63  
% 0.44/0.63  % --instantiation_flag                  true
% 0.44/0.63  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.44/0.63  % --inst_solver_per_active              750
% 0.44/0.63  % --inst_solver_calls_frac              0.5
% 0.44/0.63  % --inst_passive_queue_type             priority_queues
% 0.44/0.63  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.44/0.63  % --inst_passive_queues_freq            [25;2]
% 0.44/0.63  % --inst_dismatching                    true
% 0.44/0.63  % --inst_eager_unprocessed_to_passive   true
% 0.44/0.63  % --inst_prop_sim_given                 true
% 0.44/0.63  % --inst_prop_sim_new                   false
% 0.44/0.63  % --inst_orphan_elimination             true
% 0.44/0.63  % --inst_learning_loop_flag             true
% 0.44/0.63  % --inst_learning_start                 3000
% 0.44/0.63  % --inst_learning_factor                2
% 0.44/0.63  % --inst_start_prop_sim_after_learn     3
% 0.44/0.63  % --inst_sel_renew                      solver
% 0.44/0.63  % --inst_lit_activity_flag              true
% 0.44/0.63  % --inst_out_proof                      true
% 0.44/0.63  
% 0.44/0.63  % ------ Resolution Options
% 0.44/0.63  
% 0.44/0.63  % --resolution_flag                     true
% 0.44/0.63  % --res_lit_sel                         kbo_max
% 0.44/0.63  % --res_to_prop_solver                  none
% 0.44/0.63  % --res_prop_simpl_new                  false
% 0.44/0.63  % --res_prop_simpl_given                false
% 0.44/0.63  % --res_passive_queue_type              priority_queues
% 0.44/0.63  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.44/0.63  % --res_passive_queues_freq             [15;5]
% 0.44/0.63  % --res_forward_subs                    full
% 0.44/0.63  % --res_backward_subs                   full
% 0.44/0.63  % --res_forward_subs_resolution         true
% 0.44/0.63  % --res_backward_subs_resolution        true
% 0.44/0.63  % --res_orphan_elimination              false
% 0.44/0.63  % --res_time_limit                      1000.
% 0.44/0.63  % --res_out_proof                       true
% 0.44/0.63  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_557370.s
% 0.44/0.63  % --modulo                              true
% 0.44/0.63  
% 0.44/0.63  % ------ Combination Options
% 0.44/0.63  
% 0.44/0.63  % --comb_res_mult                       1000
% 0.44/0.63  % --comb_inst_mult                      300
% 0.44/0.63  % ------ 
% 0.44/0.63  
% 0.44/0.63  % ------ Parsing...% successful
% 0.44/0.63  
% 0.44/0.63  % ------ 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 % 
% 0.44/0.63  
% 0.44/0.63  % ------ Proving...
% 0.44/0.63  % ------ Problem Properties 
% 0.44/0.63  
% 0.44/0.63  % 
% 0.44/0.63  % EPR                                   false
% 0.44/0.63  % Horn                                  false
% 0.44/0.63  % Has equality                          false
% 0.44/0.63  
% 0.44/0.63  % % ------ Input Options Time Limit: Unbounded
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  % % ------ Current options:
% 0.44/0.63  
% 0.44/0.63  % ------ Input Options
% 0.44/0.63  
% 0.44/0.63  % --out_options                         all
% 0.44/0.63  % --tptp_safe_out                       true
% 0.44/0.63  % --problem_path                        ""
% 0.44/0.63  % --include_path                        ""
% 0.44/0.63  % --clausifier                          .//eprover
% 0.44/0.63  % --clausifier_options                  --tstp-format  
% 0.44/0.63  % --stdin                               false
% 0.44/0.63  % --dbg_backtrace                       false
% 0.44/0.63  % --dbg_dump_prop_clauses               false
% 0.44/0.63  % --dbg_dump_prop_clauses_file          -
% 0.44/0.63  % --dbg_out_stat                        false
% 0.44/0.63  
% 0.44/0.63  % ------ General Options
% 0.44/0.63  
% 0.44/0.63  % --fof                                 false
% 0.44/0.63  % --time_out_real                       150.
% 0.44/0.63  % --time_out_prep_mult                  0.2
% 0.44/0.63  % --time_out_virtual                    -1.
% 0.44/0.63  % --schedule                            none
% 0.44/0.63  % --ground_splitting                    input
% 0.44/0.63  % --splitting_nvd                       16
% 0.44/0.63  % --non_eq_to_eq                        false
% 0.44/0.63  % --prep_gs_sim                         true
% 0.44/0.63  % --prep_unflatten                      false
% 0.44/0.63  % --prep_res_sim                        true
% 0.44/0.63  % --prep_upred                          true
% 0.44/0.63  % --res_sim_input                       true
% 0.44/0.63  % --clause_weak_htbl                    true
% 0.44/0.63  % --gc_record_bc_elim                   false
% 0.44/0.63  % --symbol_type_check                   false
% 0.44/0.63  % --clausify_out                        false
% 0.44/0.63  % --large_theory_mode                   false
% 0.44/0.63  % --prep_sem_filter                     none
% 0.44/0.63  % --prep_sem_filter_out                 false
% 0.44/0.63  % --preprocessed_out                    false
% 0.44/0.63  % --sub_typing                          false
% 0.44/0.63  % --brand_transform                     false
% 0.44/0.63  % --pure_diseq_elim                     true
% 0.44/0.63  % --min_unsat_core                      false
% 0.44/0.63  % --pred_elim                           true
% 0.44/0.63  % --add_important_lit                   false
% 0.44/0.63  % --soft_assumptions                    false
% 0.44/0.63  % --reset_solvers                       false
% 0.44/0.63  % --bc_imp_inh                          []
% 0.44/0.63  % --conj_cone_tolerance                 1.5
% 0.44/0.63  % --prolific_symb_bound                 500
% 0.44/0.63  % --lt_threshold                        2000
% 0.44/0.63  
% 0.44/0.63  % ------ SAT Options
% 0.44/0.63  
% 0.44/0.63  % --sat_mode                            false
% 0.44/0.63  % --sat_fm_restart_options              ""
% 0.44/0.63  % --sat_gr_def                          false
% 0.44/0.63  % --sat_epr_types                       true
% 0.44/0.63  % --sat_non_cyclic_types                false
% 0.44/0.63  % --sat_finite_models                   false
% 0.44/0.63  % --sat_fm_lemmas                       false
% 0.44/0.63  % --sat_fm_prep                         false
% 0.44/0.63  % --sat_fm_uc_incr                      true
% 0.44/0.63  % --sat_out_model                       small
% 0.44/0.63  % --sat_out_clauses                     false
% 0.44/0.63  
% 0.44/0.63  % ------ QBF Options
% 0.44/0.63  
% 0.44/0.63  % --qbf_mode                            false
% 0.44/0.63  % --qbf_elim_univ                       true
% 0.44/0.63  % --qbf_sk_in                           true
% 0.44/0.63  % --qbf_pred_elim                       true
% 0.44/0.63  % --qbf_split                           32
% 0.44/0.63  
% 0.44/0.63  % ------ BMC1 Options
% 0.44/0.63  
% 0.44/0.63  % --bmc1_incremental                    false
% 0.44/0.63  % --bmc1_axioms                         reachable_all
% 0.44/0.63  % --bmc1_min_bound                      0
% 0.44/0.63  % --bmc1_max_bound                      -1
% 0.44/0.63  % --bmc1_max_bound_default              -1
% 0.44/0.63  % --bmc1_symbol_reachability            true
% 0.44/0.63  % --bmc1_property_lemmas                false
% 0.44/0.63  % --bmc1_k_induction                    false
% 0.44/0.63  % --bmc1_non_equiv_states               false
% 0.44/0.63  % --bmc1_deadlock                       false
% 0.44/0.63  % --bmc1_ucm                            false
% 0.44/0.63  % --bmc1_add_unsat_core                 none
% 0.44/0.63  % --bmc1_unsat_core_children            false
% 0.44/0.63  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.44/0.63  % --bmc1_out_stat                       full
% 0.44/0.63  % --bmc1_ground_init                    false
% 0.44/0.63  % --bmc1_pre_inst_next_state            false
% 0.44/0.63  % --bmc1_pre_inst_state                 false
% 0.44/0.63  % --bmc1_pre_inst_reach_state           false
% 0.44/0.63  % --bmc1_out_unsat_core                 false
% 0.44/0.63  % --bmc1_aig_witness_out                false
% 0.44/0.63  % --bmc1_verbose                        false
% 0.44/0.63  % --bmc1_dump_clauses_tptp              false
% 0.44/0.63  % --bmc1_dump_unsat_core_tptp           false
% 0.44/0.63  % --bmc1_dump_file                      -
% 0.44/0.63  % --bmc1_ucm_expand_uc_limit            128
% 0.44/0.63  % --bmc1_ucm_n_expand_iterations        6
% 0.44/0.63  % --bmc1_ucm_extend_mode                1
% 0.44/0.63  % --bmc1_ucm_init_mode                  2
% 0.44/0.63  % --bmc1_ucm_cone_mode                  none
% 0.44/0.63  % --bmc1_ucm_reduced_relation_type      0
% 0.44/0.63  % --bmc1_ucm_relax_model                4
% 0.44/0.63  % --bmc1_ucm_full_tr_after_sat          true
% 0.44/0.63  % --bmc1_ucm_expand_neg_assumptions     false
% 0.44/0.63  % --bmc1_ucm_layered_model              none
% 0.44/0.63  % --bmc1_ucm_max_lemma_size             10
% 0.44/0.63  
% 0.44/0.63  % ------ AIG Options
% 0.44/0.63  
% 0.44/0.63  % --aig_mode                            false
% 0.44/0.63  
% 0.44/0.63  % ------ Instantiation Options
% 0.44/0.63  
% 0.44/0.63  % --instantiation_flag                  true
% 0.44/0.63  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.44/0.63  % --inst_solver_per_active              750
% 0.44/0.63  % --inst_solver_calls_frac              0.5
% 0.44/0.63  % --inst_passive_queue_type             priority_queues
% 0.44/0.63  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.44/0.63  % --inst_passive_queues_freq            [25;2]
% 0.44/0.63  % --inst_dismatching                    true
% 0.44/0.63  % --inst_eager_unprocessed_to_passive   true
% 0.44/0.63  % --inst_prop_sim_given                 true
% 0.44/0.63  % --inst_prop_sim_new                   false
% 0.44/0.63  % --inst_orphan_elimination             true
% 0.44/0.63  % --inst_learning_loop_flag             true
% 0.44/0.63  % --inst_learning_start                 3000
% 0.44/0.63  % --inst_learning_factor                2
% 0.44/0.63  % --inst_start_prop_sim_after_learn     3
% 0.44/0.63  % --inst_sel_renew                      solver
% 0.44/0.63  % --inst_lit_activity_flag              true
% 0.44/0.63  % --inst_out_proof                      true
% 0.44/0.63  
% 0.44/0.63  % ------ Resolution Options
% 0.44/0.63  
% 0.44/0.63  % --resolution_flag                     true
% 0.44/0.63  % --res_lit_sel                         kbo_max
% 0.44/0.63  % --res_to_prop_solver                  none
% 0.44/0.63  % --res_prop_simpl_new                  false
% 0.44/0.63  % --res_prop_simpl_given                false
% 0.44/0.63  % --res_passive_queue_type              priority_queues
% 0.44/0.63  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.44/0.63  % --res_passive_queues_freq             [15;5]
% 0.44/0.63  % --res_forward_subs                    full
% 0.44/0.63  % --res_backward_subs                   full
% 0.44/0.63  % --res_forward_subs_resolution         true
% 0.44/0.63  % --res_backward_subs_resolution        true
% 0.44/0.63  % --res_orphan_elimination              false
% 0.44/0.63  % --res_time_limit                      1000.
% 0.44/0.63  % --res_out_proof                       true
% 0.44/0.63  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_557370.s
% 0.44/0.63  % --modulo                              true
% 0.44/0.63  
% 0.44/0.63  % ------ Combination Options
% 0.44/0.63  
% 0.44/0.63  % --comb_res_mult                       1000
% 0.44/0.63  % --comb_inst_mult                      300
% 0.44/0.63  % ------ 
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  % ------ Proving...
% 0.44/0.63  % warning:  shown sat in sat incomplete mode 
% 0.44/0.63  % 
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  cnf(c_130,plain,
% 0.44/0.63      ( ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6)
% 0.44/0.63      | ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X6),X7)
% 0.44/0.63      | ~ le(s(X7),X8) ),
% 0.44/0.63      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_0) ).
% 0.44/0.63  
% 0.44/0.63  cnf(c_532,plain,
% 0.44/0.63      ( ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6)
% 0.44/0.63      | ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X6),X7)
% 0.44/0.63      | ~ le(s(X7),X8) ),
% 0.44/0.63      inference(copy,[status(esa)],[c_130]) ).
% 0.44/0.63  
% 0.44/0.63  cnf(c_533,plain,
% 0.44/0.63      ( ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X6),X7)
% 0.44/0.63      | ~ le(s(X7),X8)
% 0.44/0.63      | ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6) ),
% 0.44/0.63      inference(rewriting,[status(thm)],[c_532]) ).
% 0.44/0.63  
% 0.44/0.63  cnf(c_129,plain,
% 0.44/0.63      ( ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6)
% 0.44/0.63      | ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X7),X8)
% 0.44/0.63      | ~ le(s(X6),X7) ),
% 0.44/0.63      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_1) ).
% 0.44/0.63  
% 0.44/0.63  cnf(c_530,plain,
% 0.44/0.63      ( ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6)
% 0.44/0.63      | ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X7),X8)
% 0.44/0.63      | ~ le(s(X6),X7) ),
% 0.44/0.63      inference(copy,[status(esa)],[c_129]) ).
% 0.44/0.63  
% 0.44/0.63  cnf(c_531,plain,
% 0.44/0.63      ( ~ le(s(X0),X1)
% 0.44/0.63      | ~ le(s(X1),X2)
% 0.44/0.63      | ~ le(s(X2),X3)
% 0.44/0.63      | ~ le(s(X3),X4)
% 0.44/0.63      | ~ le(s(X4),X5)
% 0.44/0.63      | ~ le(s(X5),X6)
% 0.44/0.63      | ~ le(s(X7),X8)
% 0.44/0.63      | ~ le(s(X6),X7)
% 0.44/0.63      | ~ eq(f(X0),a6)
% 0.44/0.63      | ~ eq(f(X1),a6)
% 0.44/0.63      | ~ eq(f(X2),a6)
% 0.44/0.63      | ~ eq(f(X3),a6)
% 0.44/0.63      | ~ eq(f(X4),a6)
% 0.44/0.63      | ~ eq(f(X5),a6)
% 0.44/0.63      | ~ eq(f(X6),a6)
% 0.44/0.63      | ~ eq(f(X7),a6)
% 0.44/0.63      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_530]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_128,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_2) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_528,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_128]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_529,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_528]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_127,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_3) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_526,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_127]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_527,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_526]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_126,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_4) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_524,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_126]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_525,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_524]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_125,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_5) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_522,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_125]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_523,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_522]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_124,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_6) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_520,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_124]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_521,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_520]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_122,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_8) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_516,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_122]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_517,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_516]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_121,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_9) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_514,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_121]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_515,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_514]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_120,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_10) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_512,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_120]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_513,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_512]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_119,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_11) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_510,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_119]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_511,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_510]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_118,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_12) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_508,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_118]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_509,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_508]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_117,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_13) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_506,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_117]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_507,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_506]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_116,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_14) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_504,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_116]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_505,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_504]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_115,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X1)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X0),X8)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_15) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_502,plain,
% 0.44/0.64      ( ~ eq(f(X0),a6)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X1)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X0),X8)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6)
% 0.44/0.64      | ~ eq(f(X8),a6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_115]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_503,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a6)
% 0.44/0.64      | ~ eq(f(X1),a6)
% 0.44/0.64      | ~ eq(f(X0),a6)
% 0.44/0.64      | ~ eq(f(X2),a6)
% 0.44/0.64      | ~ eq(f(X3),a6)
% 0.44/0.64      | ~ eq(f(X4),a6)
% 0.44/0.64      | ~ eq(f(X5),a6)
% 0.44/0.64      | ~ eq(f(X6),a6)
% 0.44/0.64      | ~ eq(f(X7),a6) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_502]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_113,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_0) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_498,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_113]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_499,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_498]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_112,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_1) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_496,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_112]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_497,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_496]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_111,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_2) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_494,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_111]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_495,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_494]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_110,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_3) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_492,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_110]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_493,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_492]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_109,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_4) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_490,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_109]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_491,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_490]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_108,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_5) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_488,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_108]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_489,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_488]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_107,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_6) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_486,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_107]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_487,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_486]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_105,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_8) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_482,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_105]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_483,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_482]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_104,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_9) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_480,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_104]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_481,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_480]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_103,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_10) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_478,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_103]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_479,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_478]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_102,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_11) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_476,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X5)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X4),X8)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_102]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_477,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_476]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_101,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_12) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_474,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X4)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X3),X8)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_101]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_475,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_474]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_100,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_13) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_472,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X5),X3)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X2),X8)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_100]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_473,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_472]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_99,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_14) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_470,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X4),X2)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X1),X8)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_99]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_471,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_470]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_98,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X1)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X0),X8)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_15) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_468,plain,
% 0.44/0.64      ( ~ eq(f(X0),a5)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X3),X1)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ le(s(X0),X8)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5)
% 0.44/0.64      | ~ eq(f(X8),a5) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_98]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_469,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X2),X0)
% 0.44/0.64      | ~ le(s(X3),X2)
% 0.44/0.64      | ~ le(s(X4),X3)
% 0.44/0.64      | ~ le(s(X5),X4)
% 0.44/0.64      | ~ le(s(X6),X5)
% 0.44/0.64      | ~ le(s(X7),X6)
% 0.44/0.64      | ~ le(s(X8),X7)
% 0.44/0.64      | ~ eq(f(X8),a5)
% 0.44/0.64      | ~ eq(f(X1),a5)
% 0.44/0.64      | ~ eq(f(X0),a5)
% 0.44/0.64      | ~ eq(f(X2),a5)
% 0.44/0.64      | ~ eq(f(X3),a5)
% 0.44/0.64      | ~ eq(f(X4),a5)
% 0.44/0.64      | ~ eq(f(X5),a5)
% 0.44/0.64      | ~ eq(f(X6),a5)
% 0.44/0.64      | ~ eq(f(X7),a5) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_468]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_96,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_0) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_464,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_96]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_465,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_464]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_95,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_1) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_462,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_95]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_463,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_462]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_94,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_2) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_460,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6) ),
% 0.44/0.64      inference(copy,[status(esa)],[c_94]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_461,plain,
% 0.44/0.64      ( ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X4),X5)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X8),X6)
% 0.44/0.64      | ~ le(s(X5),X8)
% 0.44/0.64      | ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4) ),
% 0.44/0.64      inference(rewriting,[status(thm)],[c_460]) ).
% 0.44/0.64  
% 0.44/0.64  cnf(c_93,plain,
% 0.44/0.64      ( ~ eq(f(X0),a4)
% 0.44/0.64      | ~ eq(f(X1),a4)
% 0.44/0.64      | ~ eq(f(X2),a4)
% 0.44/0.64      | ~ eq(f(X3),a4)
% 0.44/0.64      | ~ eq(f(X4),a4)
% 0.44/0.64      | ~ eq(f(X5),a4)
% 0.44/0.64      | ~ eq(f(X6),a4)
% 0.44/0.64      | ~ eq(f(X7),a4)
% 0.44/0.64      | ~ eq(f(X8),a4)
% 0.44/0.64      | ~ le(s(X0),X1)
% 0.44/0.64      | ~ le(s(X1),X2)
% 0.44/0.64      | ~ le(s(X2),X3)
% 0.44/0.64      | ~ le(s(X3),X4)
% 0.44/0.64      | ~ le(s(X7),X8)
% 0.44/0.64      | ~ le(s(X6),X7)
% 0.44/0.64      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_3) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_458,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_93]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_459,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_458]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_92,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_4) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_456,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_92]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_457,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_456]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_91,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_5) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_454,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_91]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_455,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_454]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_90,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_6) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_452,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_90]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_453,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_452]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_88,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_8) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_448,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_88]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_449,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_448]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_87,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_9) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_446,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_87]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_447,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_446]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_86,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_10) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_444,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_86]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_445,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_444]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_85,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_11) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_442,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_85]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_443,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_442]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_84,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_12) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_440,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_84]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_441,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_440]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_83,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_13) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_438,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_83]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_439,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_438]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_82,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_14) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_436,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_82]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_437,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_436]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_81,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X1)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X0),X8)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_15) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_434,plain,
% 0.44/0.65      ( ~ eq(f(X0),a4)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X1)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X0),X8)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4)
% 0.44/0.65      | ~ eq(f(X8),a4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_81]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_435,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a4)
% 0.44/0.65      | ~ eq(f(X1),a4)
% 0.44/0.65      | ~ eq(f(X0),a4)
% 0.44/0.65      | ~ eq(f(X2),a4)
% 0.44/0.65      | ~ eq(f(X3),a4)
% 0.44/0.65      | ~ eq(f(X4),a4)
% 0.44/0.65      | ~ eq(f(X5),a4)
% 0.44/0.65      | ~ eq(f(X6),a4)
% 0.44/0.65      | ~ eq(f(X7),a4) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_434]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_79,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_0) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_430,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_79]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_431,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_430]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_78,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_1) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_428,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_78]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_429,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_428]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_77,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_2) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_426,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_77]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_427,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_426]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_76,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_3) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_424,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_76]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_425,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_424]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_75,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_4) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_422,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_75]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_423,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_422]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_74,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_5) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_420,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_74]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_421,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_420]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_73,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_6) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_418,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_73]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_419,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_418]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_71,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_8) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_414,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_71]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_415,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_414]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_70,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_9) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_412,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_70]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_413,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_412]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_69,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_10) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_410,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_69]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_411,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_410]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_68,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_11) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_408,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_68]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_409,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_408]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_67,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_12) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_406,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X4)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X3),X8)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_67]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_407,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_406]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_66,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_13) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_404,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X3)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X2),X8)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_66]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_405,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_404]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_65,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_14) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_402,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X4),X2)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X1),X8)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_65]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_403,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_402]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_64,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X1)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X0),X8)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_15) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_400,plain,
% 0.44/0.65      ( ~ eq(f(X0),a3)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X3),X1)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X0),X8)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3)
% 0.44/0.65      | ~ eq(f(X8),a3) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_64]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_401,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X2),X0)
% 0.44/0.65      | ~ le(s(X3),X2)
% 0.44/0.65      | ~ le(s(X4),X3)
% 0.44/0.65      | ~ le(s(X5),X4)
% 0.44/0.65      | ~ le(s(X6),X5)
% 0.44/0.65      | ~ le(s(X7),X6)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ eq(f(X8),a3)
% 0.44/0.65      | ~ eq(f(X1),a3)
% 0.44/0.65      | ~ eq(f(X0),a3)
% 0.44/0.65      | ~ eq(f(X2),a3)
% 0.44/0.65      | ~ eq(f(X3),a3)
% 0.44/0.65      | ~ eq(f(X4),a3)
% 0.44/0.65      | ~ eq(f(X5),a3)
% 0.44/0.65      | ~ eq(f(X6),a3)
% 0.44/0.65      | ~ eq(f(X7),a3) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_400]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_62,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_0) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_396,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_62]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_397,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_396]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_61,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_1) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_394,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_61]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_395,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_394]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_60,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_2) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_392,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_60]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_393,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X8),X6)
% 0.44/0.65      | ~ le(s(X5),X8)
% 0.44/0.65      | ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_392]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_59,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_3) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_390,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5) ),
% 0.44/0.65      inference(copy,[status(esa)],[c_59]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_391,plain,
% 0.44/0.65      ( ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X3),X4)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X7),X5)
% 0.44/0.65      | ~ le(s(X8),X7)
% 0.44/0.65      | ~ le(s(X4),X8)
% 0.44/0.65      | ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2) ),
% 0.44/0.65      inference(rewriting,[status(thm)],[c_390]) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_58,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.65      | ~ le(s(X3),X4) ),
% 0.44/0.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_4) ).
% 0.44/0.65  
% 0.44/0.65  cnf(c_388,plain,
% 0.44/0.65      ( ~ eq(f(X0),a2)
% 0.44/0.65      | ~ eq(f(X1),a2)
% 0.44/0.65      | ~ eq(f(X2),a2)
% 0.44/0.65      | ~ eq(f(X3),a2)
% 0.44/0.65      | ~ eq(f(X4),a2)
% 0.44/0.65      | ~ eq(f(X5),a2)
% 0.44/0.65      | ~ eq(f(X6),a2)
% 0.44/0.65      | ~ eq(f(X7),a2)
% 0.44/0.65      | ~ eq(f(X8),a2)
% 0.44/0.65      | ~ le(s(X0),X1)
% 0.44/0.65      | ~ le(s(X1),X2)
% 0.44/0.65      | ~ le(s(X2),X3)
% 0.44/0.65      | ~ le(s(X7),X8)
% 0.44/0.65      | ~ le(s(X6),X7)
% 0.44/0.65      | ~ le(s(X5),X6)
% 0.44/0.65      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_58]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_389,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_388]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_57,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_5) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_386,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_57]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_387,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_386]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_56,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_6) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_384,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_56]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_385,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_384]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_54,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_8) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_380,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_54]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_381,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_380]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_53,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_9) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_378,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_53]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_379,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_378]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_52,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_10) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_376,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_52]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_377,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_376]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_51,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_11) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_374,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_51]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_375,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_374]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_50,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_12) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_372,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_50]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_373,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_372]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_49,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_13) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_370,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_49]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_371,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_370]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_48,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_14) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_368,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_48]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_369,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_368]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_47,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X1)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X0),X8)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_15) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_366,plain,
% 0.44/0.66      ( ~ eq(f(X0),a2)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X1)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X0),X8)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2)
% 0.44/0.66      | ~ eq(f(X8),a2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_47]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_367,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a2)
% 0.44/0.66      | ~ eq(f(X1),a2)
% 0.44/0.66      | ~ eq(f(X0),a2)
% 0.44/0.66      | ~ eq(f(X2),a2)
% 0.44/0.66      | ~ eq(f(X3),a2)
% 0.44/0.66      | ~ eq(f(X4),a2)
% 0.44/0.66      | ~ eq(f(X5),a2)
% 0.44/0.66      | ~ eq(f(X6),a2)
% 0.44/0.66      | ~ eq(f(X7),a2) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_366]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_45,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_0) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_362,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_45]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_363,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_362]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_44,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_1) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_360,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_44]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_361,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_360]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_43,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_2) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_358,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_43]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_359,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_358]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_42,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_3) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_356,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_42]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_357,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_356]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_41,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_4) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_354,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_41]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_355,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_354]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_40,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_5) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_352,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_40]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_353,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_352]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_39,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_6) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_350,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_39]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_351,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_350]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_37,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_8) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_346,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_37]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_347,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_346]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_36,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_9) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_344,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_36]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_345,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_344]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_35,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_10) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_342,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_35]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_343,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_342]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_34,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_11) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_340,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_34]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_341,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_340]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_33,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_12) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_338,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_33]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_339,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_338]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_32,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_13) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_336,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_32]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_337,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_336]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_31,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_14) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_334,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_31]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_335,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_334]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_30,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X1)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X0),X8)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_15) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_332,plain,
% 0.44/0.66      ( ~ eq(f(X0),a1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X1)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X0),X8)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1)
% 0.44/0.66      | ~ eq(f(X8),a1) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_30]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_333,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a1)
% 0.44/0.66      | ~ eq(f(X1),a1)
% 0.44/0.66      | ~ eq(f(X0),a1)
% 0.44/0.66      | ~ eq(f(X2),a1)
% 0.44/0.66      | ~ eq(f(X3),a1)
% 0.44/0.66      | ~ eq(f(X4),a1)
% 0.44/0.66      | ~ eq(f(X5),a1)
% 0.44/0.66      | ~ eq(f(X6),a1)
% 0.44/0.66      | ~ eq(f(X7),a1) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_332]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_28,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_0) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_328,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_28]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_329,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_328]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_27,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_1) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_326,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_27]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_327,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_326]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_26,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_2) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_324,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_26]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_325,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X8),X6)
% 0.44/0.66      | ~ le(s(X5),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_324]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_25,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_3) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_322,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_25]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_323,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X7),X5)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X4),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_322]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_24,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_4) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_320,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_24]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_321,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X6),X4)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X3),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_320]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_23,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_5) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_318,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_23]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_319,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X5),X3)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X2),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_318]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_22,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_6) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_316,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_22]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_317,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X4),X2)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ le(s(X1),X8)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_316]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_20,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a0) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_8) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_312,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a0) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_20]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_313,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_312]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_19,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0) ),
% 0.44/0.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_9) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_310,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ le(s(X7),X8)
% 0.44/0.66      | ~ le(s(X6),X7)
% 0.44/0.66      | ~ le(s(X5),X6)
% 0.44/0.66      | ~ le(s(X4),X5)
% 0.44/0.66      | ~ le(s(X3),X4)
% 0.44/0.66      | ~ le(s(X2),X3)
% 0.44/0.66      | ~ le(s(X1),X2)
% 0.44/0.66      | ~ le(s(X0),X1)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0) ),
% 0.44/0.66      inference(copy,[status(esa)],[c_19]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_311,plain,
% 0.44/0.66      ( ~ le(s(X0),X1)
% 0.44/0.66      | ~ le(s(X2),X0)
% 0.44/0.66      | ~ le(s(X3),X2)
% 0.44/0.66      | ~ le(s(X4),X3)
% 0.44/0.66      | ~ le(s(X5),X4)
% 0.44/0.66      | ~ le(s(X6),X5)
% 0.44/0.66      | ~ le(s(X7),X6)
% 0.44/0.66      | ~ le(s(X8),X7)
% 0.44/0.66      | ~ eq(f(X8),a0)
% 0.44/0.66      | ~ eq(f(X7),a0)
% 0.44/0.66      | ~ eq(f(X6),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X0),a0) ),
% 0.44/0.66      inference(rewriting,[status(thm)],[c_310]) ).
% 0.44/0.66  
% 0.44/0.66  cnf(c_18,plain,
% 0.44/0.66      ( ~ eq(f(X0),a0)
% 0.44/0.66      | ~ eq(f(X1),a0)
% 0.44/0.66      | ~ eq(f(X2),a0)
% 0.44/0.66      | ~ eq(f(X3),a0)
% 0.44/0.66      | ~ eq(f(X4),a0)
% 0.44/0.66      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ le(s(X6),X7)
% 0.44/0.67      | ~ le(s(X8),X6)
% 0.44/0.67      | ~ le(s(X5),X8)
% 0.44/0.67      | ~ le(s(X4),X5)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_10) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_308,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ le(s(X6),X7)
% 0.44/0.67      | ~ le(s(X8),X6)
% 0.44/0.67      | ~ le(s(X5),X8)
% 0.44/0.67      | ~ le(s(X4),X5)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_18]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_309,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_308]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_17,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ le(s(X5),X6)
% 0.44/0.67      | ~ le(s(X7),X5)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X4),X8)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_11) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_306,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ le(s(X5),X6)
% 0.44/0.67      | ~ le(s(X7),X5)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X4),X8)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_17]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_307,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_306]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_16,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ le(s(X4),X5)
% 0.44/0.67      | ~ le(s(X6),X4)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X3),X8)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_12) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_304,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ le(s(X4),X5)
% 0.44/0.67      | ~ le(s(X6),X4)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X3),X8)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_16]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_305,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_304]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_15,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X5),X3)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X2),X8)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_13) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_302,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ le(s(X3),X4)
% 0.44/0.67      | ~ le(s(X5),X3)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X2),X8)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_15]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_303,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_302]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_14,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X4),X2)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X1),X8)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_14) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_300,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ le(s(X2),X3)
% 0.44/0.67      | ~ le(s(X4),X2)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X1),X8)
% 0.44/0.67      | ~ le(s(X0),X1)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_14]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_301,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_300]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_13,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X3),X1)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X0),X8)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_15) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_298,plain,
% 0.44/0.67      ( ~ eq(f(X0),a0)
% 0.44/0.67      | ~ le(s(X1),X2)
% 0.44/0.67      | ~ le(s(X3),X1)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ le(s(X0),X8)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_13]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_299,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X8),a0)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_298]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_114,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a6)
% 0.44/0.67      | ~ eq(f(X0),a6)
% 0.44/0.67      | ~ eq(f(X2),a6)
% 0.44/0.67      | ~ eq(f(X3),a6)
% 0.44/0.67      | ~ eq(f(X4),a6)
% 0.44/0.67      | ~ eq(f(X5),a6)
% 0.44/0.67      | ~ eq(f(X6),a6)
% 0.44/0.67      | ~ eq(f(X7),a6)
% 0.44/0.67      | ~ eq(f(X8),a6) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_44_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_500,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a6)
% 0.44/0.67      | ~ eq(f(X0),a6)
% 0.44/0.67      | ~ eq(f(X2),a6)
% 0.44/0.67      | ~ eq(f(X3),a6)
% 0.44/0.67      | ~ eq(f(X4),a6)
% 0.44/0.67      | ~ eq(f(X5),a6)
% 0.44/0.67      | ~ eq(f(X6),a6)
% 0.44/0.67      | ~ eq(f(X7),a6)
% 0.44/0.67      | ~ eq(f(X8),a6) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_114]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_97,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a5)
% 0.44/0.67      | ~ eq(f(X0),a5)
% 0.44/0.67      | ~ eq(f(X2),a5)
% 0.44/0.67      | ~ eq(f(X3),a5)
% 0.44/0.67      | ~ eq(f(X4),a5)
% 0.44/0.67      | ~ eq(f(X5),a5)
% 0.44/0.67      | ~ eq(f(X6),a5)
% 0.44/0.67      | ~ eq(f(X7),a5)
% 0.44/0.67      | ~ eq(f(X8),a5) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_45_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_466,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a5)
% 0.44/0.67      | ~ eq(f(X0),a5)
% 0.44/0.67      | ~ eq(f(X2),a5)
% 0.44/0.67      | ~ eq(f(X3),a5)
% 0.44/0.67      | ~ eq(f(X4),a5)
% 0.44/0.67      | ~ eq(f(X5),a5)
% 0.44/0.67      | ~ eq(f(X6),a5)
% 0.44/0.67      | ~ eq(f(X7),a5)
% 0.44/0.67      | ~ eq(f(X8),a5) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_97]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_80,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a4)
% 0.44/0.67      | ~ eq(f(X0),a4)
% 0.44/0.67      | ~ eq(f(X2),a4)
% 0.44/0.67      | ~ eq(f(X3),a4)
% 0.44/0.67      | ~ eq(f(X4),a4)
% 0.44/0.67      | ~ eq(f(X5),a4)
% 0.44/0.67      | ~ eq(f(X6),a4)
% 0.44/0.67      | ~ eq(f(X7),a4)
% 0.44/0.67      | ~ eq(f(X8),a4) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_46_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_432,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a4)
% 0.44/0.67      | ~ eq(f(X0),a4)
% 0.44/0.67      | ~ eq(f(X2),a4)
% 0.44/0.67      | ~ eq(f(X3),a4)
% 0.44/0.67      | ~ eq(f(X4),a4)
% 0.44/0.67      | ~ eq(f(X5),a4)
% 0.44/0.67      | ~ eq(f(X6),a4)
% 0.44/0.67      | ~ eq(f(X7),a4)
% 0.44/0.67      | ~ eq(f(X8),a4) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_80]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_63,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a3)
% 0.44/0.67      | ~ eq(f(X0),a3)
% 0.44/0.67      | ~ eq(f(X2),a3)
% 0.44/0.67      | ~ eq(f(X3),a3)
% 0.44/0.67      | ~ eq(f(X4),a3)
% 0.44/0.67      | ~ eq(f(X5),a3)
% 0.44/0.67      | ~ eq(f(X6),a3)
% 0.44/0.67      | ~ eq(f(X7),a3)
% 0.44/0.67      | ~ eq(f(X8),a3) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_47_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_398,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a3)
% 0.44/0.67      | ~ eq(f(X0),a3)
% 0.44/0.67      | ~ eq(f(X2),a3)
% 0.44/0.67      | ~ eq(f(X3),a3)
% 0.44/0.67      | ~ eq(f(X4),a3)
% 0.44/0.67      | ~ eq(f(X5),a3)
% 0.44/0.67      | ~ eq(f(X6),a3)
% 0.44/0.67      | ~ eq(f(X7),a3)
% 0.44/0.67      | ~ eq(f(X8),a3) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_63]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_46,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a2)
% 0.44/0.67      | ~ eq(f(X0),a2)
% 0.44/0.67      | ~ eq(f(X2),a2)
% 0.44/0.67      | ~ eq(f(X3),a2)
% 0.44/0.67      | ~ eq(f(X4),a2)
% 0.44/0.67      | ~ eq(f(X5),a2)
% 0.44/0.67      | ~ eq(f(X6),a2)
% 0.44/0.67      | ~ eq(f(X7),a2)
% 0.44/0.67      | ~ eq(f(X8),a2) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_48_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_364,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a2)
% 0.44/0.67      | ~ eq(f(X0),a2)
% 0.44/0.67      | ~ eq(f(X2),a2)
% 0.44/0.67      | ~ eq(f(X3),a2)
% 0.44/0.67      | ~ eq(f(X4),a2)
% 0.44/0.67      | ~ eq(f(X5),a2)
% 0.44/0.67      | ~ eq(f(X6),a2)
% 0.44/0.67      | ~ eq(f(X7),a2)
% 0.44/0.67      | ~ eq(f(X8),a2) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_46]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_29,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a1)
% 0.44/0.67      | ~ eq(f(X0),a1)
% 0.44/0.67      | ~ eq(f(X2),a1)
% 0.44/0.67      | ~ eq(f(X3),a1)
% 0.44/0.67      | ~ eq(f(X4),a1)
% 0.44/0.67      | ~ eq(f(X5),a1)
% 0.44/0.67      | ~ eq(f(X6),a1)
% 0.44/0.67      | ~ eq(f(X7),a1)
% 0.44/0.67      | ~ eq(f(X8),a1) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_49_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_330,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a1)
% 0.44/0.67      | ~ eq(f(X0),a1)
% 0.44/0.67      | ~ eq(f(X2),a1)
% 0.44/0.67      | ~ eq(f(X3),a1)
% 0.44/0.67      | ~ eq(f(X4),a1)
% 0.44/0.67      | ~ eq(f(X5),a1)
% 0.44/0.67      | ~ eq(f(X6),a1)
% 0.44/0.67      | ~ eq(f(X7),a1)
% 0.44/0.67      | ~ eq(f(X8),a1) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_29]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_12,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_50_16) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_296,plain,
% 0.44/0.67      ( ~ le(s(X0),X1)
% 0.44/0.67      | ~ le(s(X2),X0)
% 0.44/0.67      | ~ le(s(X3),X2)
% 0.44/0.67      | ~ le(s(X4),X3)
% 0.44/0.67      | ~ le(s(X5),X4)
% 0.44/0.67      | ~ le(s(X6),X5)
% 0.44/0.67      | ~ le(s(X7),X6)
% 0.44/0.67      | ~ le(s(X8),X7)
% 0.44/0.67      | ~ eq(f(X1),a0)
% 0.44/0.67      | ~ eq(f(X0),a0)
% 0.44/0.67      | ~ eq(f(X2),a0)
% 0.44/0.67      | ~ eq(f(X3),a0)
% 0.44/0.67      | ~ eq(f(X4),a0)
% 0.44/0.67      | ~ eq(f(X5),a0)
% 0.44/0.67      | ~ eq(f(X6),a0)
% 0.44/0.67      | ~ eq(f(X7),a0)
% 0.44/0.67      | ~ eq(f(X8),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_12]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_5,plain,
% 0.44/0.67      ( eq(f(X0),a6)
% 0.44/0.67      | eq(f(X0),a5)
% 0.44/0.67      | eq(f(X0),a4)
% 0.44/0.67      | eq(f(X0),a3)
% 0.44/0.67      | eq(f(X0),a2)
% 0.44/0.67      | eq(f(X0),a1)
% 0.44/0.67      | eq(f(X0),a0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_51_6) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_282,plain,
% 0.44/0.67      ( eq(f(X0),a6)
% 0.44/0.67      | eq(f(X0),a5)
% 0.44/0.67      | eq(f(X0),a4)
% 0.44/0.67      | eq(f(X0),a3)
% 0.44/0.67      | eq(f(X0),a2)
% 0.44/0.67      | eq(f(X0),a1)
% 0.44/0.67      | eq(f(X0),a0) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_5]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_283,plain,
% 0.44/0.67      ( eq(f(X0),a0)
% 0.44/0.67      | eq(f(X0),a1)
% 0.44/0.67      | eq(f(X0),a2)
% 0.44/0.67      | eq(f(X0),a3)
% 0.44/0.67      | eq(f(X0),a4)
% 0.44/0.67      | eq(f(X0),a5)
% 0.44/0.67      | eq(f(X0),a6) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_282]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_3,plain,
% 0.44/0.67      ( le(X0,X1) | ~ le(max(X2,X0),X1) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_52_1) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_278,plain,
% 0.44/0.67      ( le(X0,X1) | ~ le(max(X2,X0),X1) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_3]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_279,plain,
% 0.44/0.67      ( ~ le(max(X0,X1),X2) | le(X1,X2) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_278]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_1,plain,
% 0.44/0.67      ( le(X0,X1) | ~ le(max(X0,X2),X1) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_53_1) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_274,plain,
% 0.44/0.67      ( le(X0,X1) | ~ le(max(X0,X2),X1) ),
% 0.44/0.67      inference(copy,[status(esa)],[c_1]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_275,plain,
% 0.44/0.67      ( ~ le(max(X0,X1),X2) | le(X0,X2) ),
% 0.44/0.67      inference(rewriting,[status(thm)],[c_274]) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_0,plain,
% 0.44/0.67      ( le(X0,X0) ),
% 0.44/0.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_1a0919.p', c_0_54_0) ).
% 0.44/0.67  
% 0.44/0.67  cnf(c_272,plain,( le(X0,X0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.44/0.67  
% 0.44/0.67  
% 0.44/0.67  
% 0.44/0.67  % ------                             Statistics
% 0.44/0.67  
% 0.44/0.67  % ------ General
% 0.44/0.67  
% 0.44/0.67  % num_of_input_clauses:                 131
% 0.44/0.67  % num_of_input_neg_conjectures:         0
% 0.44/0.67  % num_of_splits:                        0
% 0.44/0.67  % num_of_split_atoms:                   0
% 0.44/0.67  % num_of_sem_filtered_clauses:          0
% 0.44/0.67  % num_of_subtypes:                      0
% 0.44/0.67  % monotx_restored_types:                0
% 0.44/0.67  % sat_num_of_epr_types:                 0
% 0.44/0.67  % sat_num_of_non_cyclic_types:          0
% 0.44/0.67  % sat_guarded_non_collapsed_types:      0
% 0.44/0.67  % is_epr:                               0
% 0.44/0.67  % is_horn:                              0
% 0.44/0.67  % has_eq:                               0
% 0.44/0.67  % num_pure_diseq_elim:                  0
% 0.44/0.67  % simp_replaced_by:                     0
% 0.44/0.67  % res_preprocessed:                     0
% 0.44/0.67  % prep_upred:                           0
% 0.44/0.67  % prep_unflattend:                      0
% 0.44/0.67  % pred_elim_cands:                      0
% 0.44/0.67  % pred_elim:                            0
% 0.44/0.67  % pred_elim_cl:                         0
% 0.44/0.67  % pred_elim_cycles:                     0
% 0.44/0.67  % forced_gc_time:                       0
% 0.44/0.67  % gc_basic_clause_elim:                 0
% 0.44/0.67  % parsing_time:                         0.019
% 0.44/0.67  % sem_filter_time:                      0.
% 0.44/0.67  % pred_elim_time:                       0.
% 0.44/0.67  % out_proof_time:                       0.
% 0.44/0.67  % monotx_time:                          0.
% 0.44/0.67  % subtype_inf_time:                     0.
% 0.44/0.67  % unif_index_cands_time:                0.
% 0.44/0.67  % unif_index_add_time:                  0.
% 0.44/0.67  % total_time:                           0.085
% 0.44/0.67  % num_of_symbols:                       37
% 0.44/0.67  % num_of_terms:                         267
% 0.44/0.67  
% 0.44/0.67  % ------ Propositional Solver
% 0.44/0.67  
% 0.44/0.67  % prop_solver_calls:                    1
% 0.44/0.67  % prop_fast_solver_calls:               0
% 0.44/0.67  % prop_num_of_clauses:                  72
% 0.44/0.67  % prop_preprocess_simplified:           452
% 0.44/0.67  % prop_fo_subsumed:                     0
% 0.44/0.67  % prop_solver_time:                     0.
% 0.44/0.67  % prop_fast_solver_time:                0.
% 0.44/0.67  % prop_unsat_core_time:                 0.
% 0.44/0.67  
% 0.44/0.67  % ------ QBF 
% 0.44/0.67  
% 0.44/0.67  % qbf_q_res:                            0
% 0.44/0.67  % qbf_num_tautologies:                  0
% 0.44/0.67  % qbf_prep_cycles:                      0
% 0.44/0.67  
% 0.44/0.67  % ------ BMC1
% 0.44/0.67  
% 0.44/0.67  % bmc1_current_bound:                   -1
% 0.44/0.67  % bmc1_last_solved_bound:               -1
% 0.44/0.67  % bmc1_unsat_core_size:                 -1
% 0.44/0.67  % bmc1_unsat_core_parents_size:         -1
% 0.44/0.67  % bmc1_merge_next_fun:                  0
% 0.44/0.67  % bmc1_unsat_core_clauses_time:         0.
% 0.44/0.67  
% 0.44/0.67  % ------ Instantiation
% 0.44/0.67  
% 0.44/0.67  % inst_num_of_clauses:                  131
% 0.44/0.67  % inst_num_in_passive:                  0
% 0.44/0.67  % inst_num_in_active:                   0
% 0.44/0.67  % inst_num_in_unprocessed:              131
% 0.44/0.67  % inst_num_of_loops:                    0
% 0.44/0.67  % inst_num_of_learning_restarts:        0
% 0.44/0.67  % inst_num_moves_active_passive:        0
% 0.44/0.67  % inst_lit_activity:                    0
% 0.44/0.67  % inst_lit_activity_moves:              0
% 0.44/0.67  % inst_num_tautologies:                 0
% 0.44/0.67  % inst_num_prop_implied:                0
% 0.44/0.67  % inst_num_existing_simplified:         0
% 0.44/0.67  % inst_num_eq_res_simplified:           0
% 0.44/0.67  % inst_num_child_elim:                  0
% 0.44/0.67  % inst_num_of_dismatching_blockings:    0
% 0.44/0.67  % inst_num_of_non_proper_insts:         0
% 0.44/0.67  % inst_num_of_duplicates:               0
% 0.44/0.67  % inst_inst_num_from_inst_to_res:       0
% 0.44/0.67  % inst_dismatching_checking_time:       0.
% 0.44/0.67  
% 0.44/0.67  % ------ Resolution
% 0.44/0.67  
% 0.44/0.67  % res_num_of_clauses:                   236
% 0.44/0.67  % res_num_in_passive:                   0
% 0.44/0.67  % res_num_in_active:                    116
% 0.44/0.67  % res_num_of_loops:                     1
% 0.44/0.67  % res_forward_subset_subsumed:          15
% 0.44/0.67  % res_backward_subset_subsumed:         0
% 0.44/0.67  % res_forward_subsumed:                 0
% 0.44/0.67  % res_backward_subsumed:                0
% 0.44/0.67  % res_forward_subsumption_resolution:   0
% 0.44/0.67  % res_backward_subsumption_resolution:  0
% 0.44/0.67  % res_clause_to_clause_subsumption:     0
% 0.44/0.67  % res_orphan_elimination:               0
% 0.44/0.67  % res_tautology_del:                    0
% 0.44/0.67  % res_num_eq_res_simplified:            0
% 0.44/0.67  % res_num_sel_changes:                  0
% 0.44/0.67  % res_moves_from_active_to_pass:        0
% 0.44/0.67  
% 0.44/0.67  % Status Unknown
% 0.44/0.67  % Last status :
% 0.44/0.67  % SZS status Unknown
%------------------------------------------------------------------------------