TSTP Solution File: LAT280-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LAT280-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 05:22:42 EDT 2022

% Result   : Unknown 41.86s 42.04s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT280-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 20:16:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.61/0.77  % Orienting using strategy Equiv(ClausalAll)
% 0.61/0.77  % Orientation found
% 0.61/0.77  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7633a6.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9591ab.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ed09a6 | grep -v "SZS"
% 0.61/0.79  
% 0.61/0.79  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.61/0.79  
% 0.61/0.79  % 
% 0.61/0.79  % ------  iProver source info 
% 0.61/0.79  
% 0.61/0.79  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.61/0.79  % git: non_committed_changes: true
% 0.61/0.79  % git: last_make_outside_of_git: true
% 0.61/0.79  
% 0.61/0.79  % 
% 0.61/0.79  % ------ Input Options
% 0.61/0.79  
% 0.61/0.79  % --out_options                         all
% 0.61/0.79  % --tptp_safe_out                       true
% 0.61/0.79  % --problem_path                        ""
% 0.61/0.79  % --include_path                        ""
% 0.61/0.79  % --clausifier                          .//eprover
% 0.61/0.79  % --clausifier_options                  --tstp-format  
% 0.61/0.79  % --stdin                               false
% 0.61/0.79  % --dbg_backtrace                       false
% 0.61/0.79  % --dbg_dump_prop_clauses               false
% 0.61/0.79  % --dbg_dump_prop_clauses_file          -
% 0.61/0.79  % --dbg_out_stat                        false
% 0.61/0.79  
% 0.61/0.79  % ------ General Options
% 0.61/0.79  
% 0.61/0.79  % --fof                                 false
% 0.61/0.79  % --time_out_real                       150.
% 0.61/0.79  % --time_out_prep_mult                  0.2
% 0.61/0.79  % --time_out_virtual                    -1.
% 0.61/0.79  % --schedule                            none
% 0.61/0.79  % --ground_splitting                    input
% 0.61/0.79  % --splitting_nvd                       16
% 0.61/0.79  % --non_eq_to_eq                        false
% 0.61/0.79  % --prep_gs_sim                         true
% 0.61/0.79  % --prep_unflatten                      false
% 0.61/0.79  % --prep_res_sim                        true
% 0.61/0.79  % --prep_upred                          true
% 0.61/0.79  % --res_sim_input                       true
% 0.61/0.79  % --clause_weak_htbl                    true
% 0.61/0.79  % --gc_record_bc_elim                   false
% 0.61/0.79  % --symbol_type_check                   false
% 0.61/0.79  % --clausify_out                        false
% 0.61/0.79  % --large_theory_mode                   false
% 0.61/0.79  % --prep_sem_filter                     none
% 0.61/0.79  % --prep_sem_filter_out                 false
% 0.61/0.79  % --preprocessed_out                    false
% 0.61/0.79  % --sub_typing                          false
% 0.61/0.79  % --brand_transform                     false
% 0.61/0.79  % --pure_diseq_elim                     true
% 0.61/0.79  % --min_unsat_core                      false
% 0.61/0.79  % --pred_elim                           true
% 0.61/0.79  % --add_important_lit                   false
% 0.61/0.79  % --soft_assumptions                    false
% 0.61/0.79  % --reset_solvers                       false
% 0.61/0.79  % --bc_imp_inh                          []
% 0.61/0.79  % --conj_cone_tolerance                 1.5
% 0.61/0.79  % --prolific_symb_bound                 500
% 0.61/0.79  % --lt_threshold                        2000
% 0.61/0.79  
% 0.61/0.79  % ------ SAT Options
% 0.61/0.79  
% 0.61/0.79  % --sat_mode                            false
% 0.61/0.79  % --sat_fm_restart_options              ""
% 0.61/0.79  % --sat_gr_def                          false
% 0.61/0.79  % --sat_epr_types                       true
% 0.61/0.79  % --sat_non_cyclic_types                false
% 0.61/0.79  % --sat_finite_models                   false
% 0.61/0.79  % --sat_fm_lemmas                       false
% 0.61/0.79  % --sat_fm_prep                         false
% 0.61/0.79  % --sat_fm_uc_incr                      true
% 0.61/0.79  % --sat_out_model                       small
% 0.61/0.79  % --sat_out_clauses                     false
% 0.61/0.79  
% 0.61/0.79  % ------ QBF Options
% 0.61/0.79  
% 0.61/0.79  % --qbf_mode                            false
% 0.61/0.79  % --qbf_elim_univ                       true
% 0.61/0.79  % --qbf_sk_in                           true
% 0.61/0.79  % --qbf_pred_elim                       true
% 0.61/0.79  % --qbf_split                           32
% 0.61/0.79  
% 0.61/0.79  % ------ BMC1 Options
% 0.61/0.79  
% 0.61/0.79  % --bmc1_incremental                    false
% 0.61/0.79  % --bmc1_axioms                         reachable_all
% 0.61/0.79  % --bmc1_min_bound                      0
% 0.61/0.79  % --bmc1_max_bound                      -1
% 0.61/0.79  % --bmc1_max_bound_default              -1
% 0.61/0.79  % --bmc1_symbol_reachability            true
% 0.61/0.79  % --bmc1_property_lemmas                false
% 0.61/0.79  % --bmc1_k_induction                    false
% 0.61/0.79  % --bmc1_non_equiv_states               false
% 0.61/0.79  % --bmc1_deadlock                       false
% 0.61/0.79  % --bmc1_ucm                            false
% 0.61/0.79  % --bmc1_add_unsat_core                 none
% 0.61/0.79  % --bmc1_unsat_core_children            false
% 0.61/0.79  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.61/0.79  % --bmc1_out_stat                       full
% 0.61/0.79  % --bmc1_ground_init                    false
% 0.61/0.79  % --bmc1_pre_inst_next_state            false
% 0.61/0.79  % --bmc1_pre_inst_state                 false
% 0.61/0.79  % --bmc1_pre_inst_reach_state           false
% 0.61/0.79  % --bmc1_out_unsat_core                 false
% 0.61/0.79  % --bmc1_aig_witness_out                false
% 0.61/0.79  % --bmc1_verbose                        false
% 0.61/0.79  % --bmc1_dump_clauses_tptp              false
% 7.64/7.90  % --bmc1_dump_unsat_core_tptp           false
% 7.64/7.90  % --bmc1_dump_file                      -
% 7.64/7.90  % --bmc1_ucm_expand_uc_limit            128
% 7.64/7.90  % --bmc1_ucm_n_expand_iterations        6
% 7.64/7.90  % --bmc1_ucm_extend_mode                1
% 7.64/7.90  % --bmc1_ucm_init_mode                  2
% 7.64/7.90  % --bmc1_ucm_cone_mode                  none
% 7.64/7.90  % --bmc1_ucm_reduced_relation_type      0
% 7.64/7.90  % --bmc1_ucm_relax_model                4
% 7.64/7.90  % --bmc1_ucm_full_tr_after_sat          true
% 7.64/7.90  % --bmc1_ucm_expand_neg_assumptions     false
% 7.64/7.90  % --bmc1_ucm_layered_model              none
% 7.64/7.90  % --bmc1_ucm_max_lemma_size             10
% 7.64/7.90  
% 7.64/7.90  % ------ AIG Options
% 7.64/7.90  
% 7.64/7.90  % --aig_mode                            false
% 7.64/7.90  
% 7.64/7.90  % ------ Instantiation Options
% 7.64/7.90  
% 7.64/7.90  % --instantiation_flag                  true
% 7.64/7.90  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 7.64/7.90  % --inst_solver_per_active              750
% 7.64/7.90  % --inst_solver_calls_frac              0.5
% 7.64/7.90  % --inst_passive_queue_type             priority_queues
% 7.64/7.90  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.64/7.90  % --inst_passive_queues_freq            [25;2]
% 7.64/7.90  % --inst_dismatching                    true
% 7.64/7.90  % --inst_eager_unprocessed_to_passive   true
% 7.64/7.90  % --inst_prop_sim_given                 true
% 7.64/7.90  % --inst_prop_sim_new                   false
% 7.64/7.90  % --inst_orphan_elimination             true
% 7.64/7.90  % --inst_learning_loop_flag             true
% 7.64/7.90  % --inst_learning_start                 3000
% 7.64/7.90  % --inst_learning_factor                2
% 7.64/7.90  % --inst_start_prop_sim_after_learn     3
% 7.64/7.90  % --inst_sel_renew                      solver
% 7.64/7.90  % --inst_lit_activity_flag              true
% 7.64/7.90  % --inst_out_proof                      true
% 7.64/7.90  
% 7.64/7.90  % ------ Resolution Options
% 7.64/7.90  
% 7.64/7.90  % --resolution_flag                     true
% 7.64/7.90  % --res_lit_sel                         kbo_max
% 7.64/7.90  % --res_to_prop_solver                  none
% 7.64/7.90  % --res_prop_simpl_new                  false
% 7.64/7.90  % --res_prop_simpl_given                false
% 7.64/7.90  % --res_passive_queue_type              priority_queues
% 7.64/7.90  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.64/7.90  % --res_passive_queues_freq             [15;5]
% 7.64/7.90  % --res_forward_subs                    full
% 7.64/7.90  % --res_backward_subs                   full
% 7.64/7.90  % --res_forward_subs_resolution         true
% 7.64/7.90  % --res_backward_subs_resolution        true
% 7.64/7.90  % --res_orphan_elimination              false
% 7.64/7.90  % --res_time_limit                      1000.
% 7.64/7.90  % --res_out_proof                       true
% 7.64/7.90  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7633a6.s
% 7.64/7.90  % --modulo                              true
% 7.64/7.90  
% 7.64/7.90  % ------ Combination Options
% 7.64/7.90  
% 7.64/7.90  % --comb_res_mult                       1000
% 7.64/7.90  % --comb_inst_mult                      300
% 7.64/7.90  % ------ 
% 7.64/7.90  
% 7.64/7.90  % ------ Parsing...% successful
% 7.64/7.90  
% 7.64/7.90  % ------ 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 % 
% 7.64/7.90  
% 7.64/7.90  % ------ Proving...
% 7.64/7.90  % ------ Problem Properties 
% 7.64/7.90  
% 7.64/7.90  % 
% 7.64/7.90  % EPR                                   false
% 7.64/7.90  % Horn                                  false
% 7.64/7.90  % Has equality                          true
% 7.64/7.90  
% 7.64/7.90  % % ------ Input Options Time Limit: Unbounded
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% 22.94/23.37  % % ------ Current options:
% 22.94/23.37  
% 22.94/23.37  % ------ Input Options
% 22.94/23.37  
% 22.94/23.37  % --out_options                         all
% 22.94/23.37  % --tptp_safe_out                       true
% 22.94/23.37  % --problem_path                        ""
% 22.94/23.37  % --include_path                        ""
% 22.94/23.37  % --clausifier                          .//eprover
% 22.94/23.37  % --clausifier_options                  --tstp-format  
% 22.94/23.37  % --stdin                               false
% 22.94/23.37  % --dbg_backtrace                       false
% 22.94/23.37  % --dbg_dump_prop_clauses               false
% 22.94/23.37  % --dbg_dump_prop_clauses_file          -
% 22.94/23.37  % --dbg_out_stat                        false
% 22.94/23.37  
% 22.94/23.37  % ------ General Options
% 22.94/23.37  
% 22.94/23.37  % --fof                                 false
% 22.94/23.37  % --time_out_real                       150.
% 22.94/23.37  % --time_out_prep_mult                  0.2
% 22.94/23.37  % --time_out_virtual                    -1.
% 22.94/23.37  % --schedule                            none
% 22.94/23.37  % --ground_splitting                    input
% 22.94/23.37  % --splitting_nvd                       16
% 22.94/23.37  % --non_eq_to_eq                        false
% 22.94/23.37  % --prep_gs_sim                         true
% 22.94/23.37  % --prep_unflatten                      false
% 22.94/23.37  % --prep_res_sim                        true
% 22.94/23.37  % --prep_upred                          true
% 22.94/23.37  % --res_sim_input                       true
% 22.94/23.37  % --clause_weak_htbl                    true
% 22.94/23.37  % --gc_record_bc_elim                   false
% 22.94/23.37  % --symbol_type_check                   false
% 22.94/23.37  % --clausify_out                        false
% 22.94/23.37  % --large_theory_mode                   false
% 22.94/23.37  % --prep_sem_filter                     none
% 22.94/23.37  % --prep_sem_filter_out                 false
% 22.94/23.37  % --preprocessed_out                    false
% 22.94/23.37  % --sub_typing                          false
% 22.94/23.37  % --brand_transform                     false
% 22.94/23.37  % --pure_diseq_elim                     true
% 22.94/23.37  % --min_unsat_core                      false
% 22.94/23.37  % --pred_elim                           true
% 22.94/23.37  % --add_important_lit                   false
% 22.94/23.37  % --soft_assumptions                    false
% 22.94/23.37  % --reset_solvers                       false
% 22.94/23.37  % --bc_imp_inh                          []
% 22.94/23.37  % --conj_cone_tolerance                 1.5
% 22.94/23.37  % --prolific_symb_bound                 500
% 22.94/23.37  % --lt_threshold                        2000
% 22.94/23.37  
% 22.94/23.37  % ------ SAT Options
% 22.94/23.37  
% 22.94/23.37  % --sat_mode                            false
% 22.94/23.37  % --sat_fm_restart_options              ""
% 22.94/23.37  % --sat_gr_def                          false
% 22.94/23.37  % --sat_epr_types                       true
% 22.94/23.37  % --sat_non_cyclic_types                false
% 22.94/23.37  % --sat_finite_models                   false
% 22.94/23.37  % --sat_fm_lemmas                       false
% 22.94/23.37  % --sat_fm_prep                         false
% 22.94/23.37  % --sat_fm_uc_incr                      true
% 22.94/23.37  % --sat_out_model                       small
% 22.94/23.37  % --sat_out_clauses                     false
% 22.94/23.37  
% 22.94/23.37  % ------ QBF Options
% 22.94/23.37  
% 22.94/23.37  % --qbf_mode                            false
% 22.94/23.37  % --qbf_elim_univ                       true
% 22.94/23.37  % --qbf_sk_in                           true
% 22.94/23.37  % --qbf_pred_elim                       true
% 22.94/23.37  % --qbf_split                           32
% 22.94/23.37  
% 22.94/23.37  % ------ BMC1 Options
% 22.94/23.37  
% 22.94/23.37  % --bmc1_incremental                    false
% 22.94/23.37  % --bmc1_axioms                         reachable_all
% 22.94/23.37  % --bmc1_min_bound                      0
% 22.94/23.37  % --bmc1_max_bound                      -1
% 22.94/23.37  % --bmc1_max_bound_default              -1
% 22.94/23.37  % --bmc1_symbol_reachability            true
% 22.94/23.37  % --bmc1_property_lemmas                false
% 22.94/23.37  % --bmc1_k_induction                    false
% 22.94/23.37  % --bmc1_non_equiv_states               false
% 22.94/23.37  % --bmc1_deadlock                       false
% 22.94/23.37  % --bmc1_ucm                            false
% 22.94/23.37  % --bmc1_add_unsat_core                 none
% 22.94/23.37  % --bmc1_unsat_core_children            false
% 22.94/23.37  % --bmc1_unsat_core_extrapolate_axioms  false
% 22.94/23.37  % --bmc1_out_stat                       full
% 22.94/23.37  % --bmc1_ground_init                    false
% 22.94/23.37  % --bmc1_pre_inst_next_state            false
% 22.94/23.37  % --bmc1_pre_inst_state                 false
% 22.94/23.37  % --bmc1_pre_inst_reach_state           false
% 22.94/23.37  % --bmc1_out_unsat_core                 false
% 22.94/23.37  % --bmc1_aig_witness_out                false
% 22.94/23.37  % --bmc1_verbose                        false
% 22.94/23.37  % --bmc1_dump_clauses_tptp              false
% 22.94/23.37  % --bmc1_dump_unsat_core_tptp           false
% 22.94/23.37  % --bmc1_dump_file                      -
% 22.94/23.37  % --bmc1_ucm_expand_uc_limit            128
% 22.94/23.37  % --bmc1_ucm_n_expand_iterations        6
% 22.94/23.37  % --bmc1_ucm_extend_mode                1
% 22.94/23.37  % --bmc1_ucm_init_mode                  2
% 22.94/23.37  % --bmc1_ucm_cone_mode                  none
% 22.94/23.37  % --bmc1_ucm_reduced_relation_type      0
% 22.94/23.37  % --bmc1_ucm_relax_model                4
% 22.94/23.37  % --bmc1_ucm_full_tr_after_sat          true
% 22.94/23.37  % --bmc1_ucm_expand_neg_assumptions     false
% 22.94/23.37  % --bmc1_ucm_layered_model              none
% 22.94/23.37  % --bmc1_ucm_max_lemma_size             10
% 22.94/23.37  
% 22.94/23.37  % ------ AIG Options
% 22.94/23.37  
% 22.94/23.37  % --aig_mode                            false
% 22.94/23.37  
% 22.94/23.37  % ------ Instantiation Options
% 22.94/23.37  
% 22.94/23.37  % --instantiation_flag                  true
% 22.94/23.37  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 22.94/23.37  % --inst_solver_per_active              750
% 22.94/23.37  % --inst_solver_calls_frac              0.5
% 22.94/23.37  % --inst_passive_queue_type             priority_queues
% 22.94/23.37  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 22.94/23.37  % --inst_passive_queues_freq            [25;2]
% 22.94/23.37  % --inst_dismatching                    true
% 22.94/23.37  % --inst_eager_unprocessed_to_passive   true
% 22.94/23.37  % --inst_prop_sim_given                 true
% 22.94/23.37  % --inst_prop_sim_new                   false
% 22.94/23.37  % --inst_orphan_elimination             true
% 22.94/23.37  % --inst_learning_loop_flag             true
% 22.94/23.37  % --inst_learning_start                 3000
% 22.94/23.37  % --inst_learning_factor                2
% 22.94/23.37  % --inst_start_prop_sim_after_learn     3
% 22.94/23.37  % --inst_sel_renew                      solver
% 22.94/23.37  % --inst_lit_activity_flag              true
% 22.94/23.37  % --inst_out_proof                      true
% 22.94/23.37  
% 22.94/23.37  % ------ Resolution Options
% 22.94/23.37  
% 22.94/23.37  % --resolution_flag                     true
% 22.94/23.37  % --res_lit_sel                         kbo_max
% 22.94/23.37  % --res_to_prop_solver                  none
% 22.94/23.37  % --res_prop_simpl_new                  false
% 22.94/23.37  % --res_prop_simpl_given                false
% 22.94/23.37  % --res_passive_queue_type              priority_queues
% 22.94/23.37  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 22.94/23.37  % --res_passive_queues_freq             [15;5]
% 22.94/23.37  % --res_forward_subs                    full
% 22.94/23.37  % --res_backward_subs                   full
% 22.94/23.37  % --res_forward_subs_resolution         true
% 22.94/23.37  % --res_backward_subs_resolution        true
% 22.94/23.37  % --res_orphan_elimination              false
% 22.94/23.37  % --res_time_limit                      1000.
% 22.94/23.37  % --res_out_proof                       true
% 22.94/23.37  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7633a6.s
% 22.94/23.37  % --modulo                              true
% 22.94/23.37  
% 22.94/23.37  % ------ Combination Options
% 22.94/23.37  
% 22.94/23.37  % --comb_res_mult                       1000
% 22.94/23.37  % --comb_inst_mult                      300
% 22.94/23.37  % ------ 
% 22.94/23.37  
% 22.94/23.37  
% 22.94/23.37  
% 22.94/23.37  % ------ Proving...
% 22.94/23.37  % warning:  shown sat in sat incomplete mode 
% 22.94/23.37  % 
% 22.94/23.37  
% 22.94/23.37  
% 22.94/23.37  
% 22.94/23.37  
% 22.94/23.37  cnf(c_3409,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_sum(X1,X0)) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9482_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21131,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_sum(X1,X0)) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3409]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21132,plain,
% 22.94/23.37      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X0) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21131]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3406,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_prod(X1,X0)) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9481_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21125,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_prod(X1,X0)) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3406]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21126,plain,
% 22.94/23.37      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X0) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21125]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3403,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_fun(X1,X0)) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9480_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21119,plain,
% 22.94/23.37      ( ~ class_Finite__Set_Ofinite(X0)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | class_Finite__Set_Ofinite(tc_fun(X1,X0)) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3403]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21120,plain,
% 22.94/23.37      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X1)
% 22.94/23.37      | ~ class_Finite__Set_Ofinite(X0) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21119]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3387,plain,
% 22.94/23.37      ( ~ class_HOL_Oone(X0)
% 22.94/23.37      | ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | c_uminus(X1,X0) != c_1
% 22.94/23.37      | X1 = c_uminus(c_1,X0) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9473_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21087,plain,
% 22.94/23.37      ( ~ class_HOL_Oone(X0)
% 22.94/23.37      | ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | c_uminus(X1,X0) != c_1
% 22.94/23.37      | X1 = c_uminus(c_1,X0) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3387]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21088,plain,
% 22.94/23.37      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | ~ class_HOL_Oone(X0)
% 22.94/23.37      | c_uminus(X1,X0) != c_1
% 22.94/23.37      | X1 = c_uminus(c_1,X0) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21087]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3381,plain,
% 22.94/23.37      ( ~ class_HOL_Oone(X0)
% 22.94/23.37      | ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9471_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21075,plain,
% 22.94/23.37      ( ~ class_HOL_Oone(X0)
% 22.94/23.37      | ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3381]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21076,plain,
% 22.94/23.37      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 22.94/23.37      | ~ class_HOL_Oone(X0)
% 22.94/23.37      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21075]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3378,plain,
% 22.94/23.37      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.37      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9470_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21069,plain,
% 22.94/23.37      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.37      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3378]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_21070,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.37      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.37      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_21069]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3264,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | c_divide(c_1,c_0,X0) = c_0 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9419_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20841,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | c_divide(c_1,c_0,X0) = c_0 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3264]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20842,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | c_divide(c_1,c_0,X0) = c_0 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20841]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3221,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | X1 = c_0
% 22.94/23.37      | c_divide(X1,X1,X0) = c_1 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9401_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20755,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | X1 = c_0
% 22.94/23.37      | c_divide(X1,X1,X0) = c_1 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3221]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20756,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | c_divide(X1,X1,X0) = c_1
% 22.94/23.37      | X1 = c_0 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20755]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3207,plain,
% 22.94/23.37      ( c_List_Oupt(X0,X1) != c_List_Olist_ONil
% 22.94/23.37      | c_lessequals(X1,X0,tc_nat)
% 22.94/23.37      | X1 = c_0 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9395_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20727,plain,
% 22.94/23.37      ( c_List_Oupt(X0,X1) != c_List_Olist_ONil
% 22.94/23.37      | c_lessequals(X1,X0,tc_nat)
% 22.94/23.37      | X1 = c_0 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3207]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20728,plain,
% 22.94/23.37      ( c_lessequals(X0,X1,tc_nat)
% 22.94/23.37      | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 22.94/23.37      | X0 = c_0 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20727]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3133,plain,
% 22.94/23.37      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.37      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 22.94/23.37      | X1 = c_0 ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9359_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20579,plain,
% 22.94/23.37      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.37      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 22.94/23.37      | X1 = c_0 ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3133]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20580,plain,
% 22.94/23.37      ( c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 22.94/23.37      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 22.94/23.37      | X0 = c_0 ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20579]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3077,plain,
% 22.94/23.37      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.37      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.37      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9334_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20467,plain,
% 22.94/23.37      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.37      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.37      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3077]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20468,plain,
% 22.94/23.37      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.37      | ~ class_Numeral_Onumber__ring(X1)
% 22.94/23.37      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20467]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3071,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 22.94/23.37      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9332_0) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20455,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 22.94/23.37      inference(copy,[status(esa)],[c_3071]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_20456,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 22.94/23.37      inference(rewriting,[status(thm)],[c_20455]) ).
% 22.94/23.37  
% 22.94/23.37  cnf(c_3037,plain,
% 22.94/23.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(X1,c_0,X0) != c_1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9322_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20387,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(X1,c_0,X0) != c_1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_3037]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20388,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | c_divide(X1,c_0,X0) != c_1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20387]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_3023,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(c_1,X1,X0) != c_0
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9317_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20359,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(c_1,X1,X0) != c_0
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_3023]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20360,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | c_divide(c_1,X1,X0) != c_0
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20359]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_3012,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9314_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20337,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_3012]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20338,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X1)
% 22.94/23.38      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20337]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2986,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(X1,X2,X0) != c_1
% 22.94/23.38      | X2 = X1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9305_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20285,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | c_divide(X1,X2,X0) != c_1
% 22.94/23.38      | X2 = X1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2986]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20286,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | c_divide(X1,X2,X0) != c_1
% 22.94/23.38      | X2 = X1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20285]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2969,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9300_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20251,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2969]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20252,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 22.94/23.38      | c_OrderedGroup_Opprt(X0,X1) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20251]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2966,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9299_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20245,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2966]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20246,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,X0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 22.94/23.38      | c_OrderedGroup_Onprt(X0,X1) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20245]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2963,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9298_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20239,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2963]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20240,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,X0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 22.94/23.38      | c_OrderedGroup_Opprt(X0,X1) = X0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20239]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2960,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9297_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20233,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2960]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20234,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 22.94/23.38      | c_OrderedGroup_Onprt(X0,X1) = X0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20233]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2957,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_HOL_Oabs(X1,X0) = X1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9296_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20227,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_HOL_Oabs(X1,X0) = X1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2957]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20228,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,X0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 22.94/23.38      | c_HOL_Oabs(X0,X1) = X0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20227]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2945,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9291_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20203,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2945]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20204,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20203]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2941,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9290_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20195,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2941]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20196,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20195]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2937,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9289_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20187,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2937]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20188,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20187]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2927,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9285_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20167,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2927]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20168,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20167]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2923,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9284_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20159,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2923]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20160,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20159]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2915,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9281_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20143,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(X1,c_0,X0)
% 22.94/23.38      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2915]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20144,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 22.94/23.38      | c_HOL_Oabs(X0,X1) = c_uminus(X0,X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20143]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2871,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,X0) != c_0
% 22.94/23.38      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9266_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20055,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,X0) != c_0
% 22.94/23.38      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2871]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20056,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,X0) != c_0
% 22.94/23.38      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20055]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2858,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9260_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20029,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 22.94/23.38      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2858]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20030,plain,
% 22.94/23.38      ( ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 22.94/23.38      | X0 = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20029]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2852,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 22.94/23.38      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9258_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20017,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 22.94/23.38      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 22.94/23.38      | X1 = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2852]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_20018,plain,
% 22.94/23.38      ( ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 22.94/23.38      | X0 = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_20017]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2814,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9241_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19941,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2814]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19942,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19941]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2813,plain,
% 22.94/23.38      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9240_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19939,plain,
% 22.94/23.38      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2813]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19940,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19939]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2785,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9229_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19883,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2785]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19884,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19883]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2782,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9228_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19877,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2782]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19878,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19877]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2779,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9227_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19871,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2779]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19872,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19871]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2757,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 22.94/23.38      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9217_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19827,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 22.94/23.38      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2757]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19828,plain,
% 22.94/23.38      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X1)
% 22.94/23.38      | c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19827]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2752,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_lessequals(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9215_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19817,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_lessequals(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2752]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19818,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,X1,X2)
% 22.94/23.38      | ~ class_Orderings_Oorder(X2)
% 22.94/23.38      | c_SetInterval_OgreaterThanAtMost(X1,X0,X2) = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19817]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2749,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_lessequals(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9214_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19811,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_lessequals(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2749]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19812,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,X1,X2)
% 22.94/23.38      | ~ class_Orderings_Oorder(X2)
% 22.94/23.38      | c_SetInterval_OatLeastLessThan(X1,X0,X2) = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19811]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2746,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_less(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9213_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19805,plain,
% 22.94/23.38      ( ~ class_Orderings_Oorder(X0)
% 22.94/23.38      | ~ c_less(X1,X2,X0)
% 22.94/23.38      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2746]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19806,plain,
% 22.94/23.38      ( ~ c_less(X0,X1,X2)
% 22.94/23.38      | ~ class_Orderings_Oorder(X2)
% 22.94/23.38      | c_SetInterval_OatLeastAtMost(X1,X0,X2) = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19805]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2742,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9212_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19797,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2742]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19798,plain,
% 22.94/23.38      ( ~ c_less(c_0,X0,tc_nat)
% 22.94/23.38      | ~ class_Power_Orecpower(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.38      | c_Nat_Opower(c_0,X0,X1) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19797]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2731,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9207_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19775,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2731]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19776,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19775]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2723,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_Nat_Opower(X1,X2,X0) != c_0
% 22.94/23.38      | c_less(c_0,X2,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9204_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19759,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_Nat_Opower(X1,X2,X0) != c_0
% 22.94/23.38      | c_less(c_0,X2,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2723]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19760,plain,
% 22.94/23.38      ( c_less(c_0,X0,tc_nat)
% 22.94/23.38      | ~ class_Power_Orecpower(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.38      | c_Nat_Opower(X2,X0,X1) != c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19759]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2688,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9187_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19689,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2688]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19690,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19689]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2685,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9186_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19683,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2685]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19684,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19683]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2682,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9185_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19677,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2682]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19678,plain,
% 22.94/23.38      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19677]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2659,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9175_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19631,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2659]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19632,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19631]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2648,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9169_3) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19609,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2648]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19610,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19609]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2644,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9168_3) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19601,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2644]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19602,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19601]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2609,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9156_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19531,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2609]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19532,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19531]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2602,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_0,X1,X0)
% 22.94/23.38      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9154_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19517,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_0,X1,X0)
% 22.94/23.38      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2602]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19518,plain,
% 22.94/23.38      ( ~ c_less(c_0,X0,X1)
% 22.94/23.38      | c_less(c_uminus(X0,X1),c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19517]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2599,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9153_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19511,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,X1,X0)
% 22.94/23.38      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2599]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19512,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,X0,X1)
% 22.94/23.38      | c_lessequals(c_uminus(X0,X1),c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19511]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2546,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9132_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19405,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2546]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19406,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19405]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2544,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9132_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19401,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2544]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19402,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19401]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2447,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9099_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19207,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2447]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19208,plain,
% 22.94/23.38      ( c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 22.94/23.38      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 22.94/23.38      | ~ class_Orderings_Olinorder(X1)
% 22.94/23.38      | X0 = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19207]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2443,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9098_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19199,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2443]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19200,plain,
% 22.94/23.38      ( c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 22.94/23.38      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 22.94/23.38      | ~ class_Orderings_Olinorder(X1)
% 22.94/23.38      | X0 = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19199]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2440,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9097_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19193,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2440]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19194,plain,
% 22.94/23.38      ( ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 22.94/23.38      | c_less(c_0,X0,tc_nat)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19193]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2437,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 22.94/23.38      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9096_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19187,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 22.94/23.38      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2437]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19188,plain,
% 22.94/23.38      ( ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 22.94/23.38      | c_less(X0,c_0,tc_IntDef_Oint)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19187]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2434,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 22.94/23.38      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9095_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19181,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 22.94/23.38      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2434]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19182,plain,
% 22.94/23.38      ( ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 22.94/23.38      | c_lessequals(X0,c_0,tc_IntDef_Oint)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19181]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2431,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9094_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19175,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2431]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19176,plain,
% 22.94/23.38      ( ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 22.94/23.38      | c_less(c_0,X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19175]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2428,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 22.94/23.38      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9093_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19169,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 22.94/23.38      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2428]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19170,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 22.94/23.38      | c_lessequals(c_0,X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19169]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2419,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 22.94/23.38      | c_less(X1,c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9090_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19151,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 22.94/23.38      | c_less(X1,c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2419]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19152,plain,
% 22.94/23.38      ( ~ c_less(c_0,c_uminus(X0,X1),X1)
% 22.94/23.38      | c_less(X0,c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19151]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2416,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 22.94/23.38      | c_lessequals(X1,c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9089_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19145,plain,
% 22.94/23.38      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 22.94/23.38      | c_lessequals(X1,c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2416]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19146,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 22.94/23.38      | c_lessequals(X0,c_0,X1)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19145]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2407,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9086_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19127,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2407]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19128,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19127]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2404,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0)
% 22.94/23.38      | c_less(X1,X2,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9085_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19121,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0)
% 22.94/23.38      | c_less(X1,X2,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2404]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19122,plain,
% 22.94/23.38      ( ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 22.94/23.38      | c_less(X0,X1,X2)
% 22.94/23.38      | ~ class_Orderings_Oord(X2) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19121]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2401,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OgreaterThan(X2,X0),X0)
% 22.94/23.38      | c_less(X2,X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9084_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19115,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OgreaterThan(X2,X0),X0)
% 22.94/23.38      | c_less(X2,X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2401]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19116,plain,
% 22.94/23.38      ( ~ c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 22.94/23.38      | c_less(X1,X0,X2)
% 22.94/23.38      | ~ class_Orderings_Oord(X2) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19115]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2398,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0)
% 22.94/23.38      | c_lessequals(X1,X2,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9083_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19109,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0)
% 22.94/23.38      | c_lessequals(X1,X2,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2398]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19110,plain,
% 22.94/23.38      ( ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 22.94/23.38      | c_lessequals(X0,X1,X2)
% 22.94/23.38      | ~ class_Orderings_Oord(X2) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19109]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2395,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OatLeast(X2,X0),X0)
% 22.94/23.38      | c_lessequals(X2,X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9082_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19103,plain,
% 22.94/23.38      ( ~ class_Orderings_Oord(X0)
% 22.94/23.38      | ~ c_in(X1,c_SetInterval_OatLeast(X2,X0),X0)
% 22.94/23.38      | c_lessequals(X2,X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2395]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19104,plain,
% 22.94/23.38      ( ~ c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 22.94/23.38      | c_lessequals(X1,X0,X2)
% 22.94/23.38      | ~ class_Orderings_Oord(X2) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19103]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2378,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9078_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19069,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2378]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19070,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 22.94/23.38      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19069]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2370,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_less(c_0,c_HOL_Oinverse(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9075_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19053,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_less(c_0,c_HOL_Oinverse(X1,X0),X0)
% 22.94/23.38      | c_less(c_0,X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2370]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19054,plain,
% 22.94/23.38      ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 22.94/23.38      | c_less(c_0,X0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19053]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2366,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0)
% 22.94/23.38      | c_lessequals(X1,c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9074_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19045,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0)
% 22.94/23.38      | c_lessequals(X1,c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2366]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19046,plain,
% 22.94/23.38      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 22.94/23.38      | c_lessequals(X0,c_0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19045]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2362,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0)
% 22.94/23.38      | c_lessequals(c_0,X1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9073_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19037,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0)
% 22.94/23.38      | c_lessequals(c_0,X1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2362]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19038,plain,
% 22.94/23.38      ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 22.94/23.38      | c_lessequals(c_0,X0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19037]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2358,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_less(c_HOL_Oinverse(X1,X0),c_0,X0)
% 22.94/23.38      | c_less(X1,c_0,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9072_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19029,plain,
% 22.94/23.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 22.94/23.38      | ~ c_less(c_HOL_Oinverse(X1,X0),c_0,X0)
% 22.94/23.38      | c_less(X1,c_0,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2358]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19030,plain,
% 22.94/23.38      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 22.94/23.38      | c_less(X0,c_0,X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__field(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19029]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2357,plain,
% 22.94/23.38      ( X0 = X1
% 22.94/23.38      | ~ c_lessequals(X0,X1,tc_set(X2))
% 22.94/23.38      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9071_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19027,plain,
% 22.94/23.38      ( X0 = X1
% 22.94/23.38      | ~ c_lessequals(X0,X1,tc_set(X2))
% 22.94/23.38      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2357]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19028,plain,
% 22.94/23.38      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 22.94/23.38      | ~ c_lessequals(X1,X0,tc_set(X2))
% 22.94/23.38      | X0 = X1 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19027]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2354,plain,
% 22.94/23.38      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9070_3) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19021,plain,
% 22.94/23.38      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2354]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19022,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19021]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2351,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9070_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19015,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2351]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19016,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19015]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2347,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9069_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19007,plain,
% 22.94/23.38      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2347]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_19008,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_19007]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2334,plain,
% 22.94/23.38      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 22.94/23.38      | X2 = X3
% 22.94/23.38      | ~ c_in(X3,X0,X1)
% 22.94/23.38      | ~ c_in(X2,X0,X1) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9063_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18981,plain,
% 22.94/23.38      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 22.94/23.38      | X2 = X3
% 22.94/23.38      | ~ c_in(X3,X0,X1)
% 22.94/23.38      | ~ c_in(X2,X0,X1) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2334]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18982,plain,
% 22.94/23.38      ( ~ c_in(X0,X1,X2)
% 22.94/23.38      | ~ c_in(X3,X1,X2)
% 22.94/23.38      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 22.94/23.38      | X3 = X0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18981]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2332,plain,
% 22.94/23.38      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 22.94/23.38      | ~ c_in(X2,X0,X1)
% 22.94/23.38      | ~ c_in(X3,X0,X1)
% 22.94/23.38      | X2 = X3 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9063_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18977,plain,
% 22.94/23.38      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 22.94/23.38      | ~ c_in(X2,X0,X1)
% 22.94/23.38      | ~ c_in(X3,X0,X1)
% 22.94/23.38      | X2 = X3 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2332]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18978,plain,
% 22.94/23.38      ( ~ c_in(X0,X1,X2)
% 22.94/23.38      | ~ c_in(X3,X1,X2)
% 22.94/23.38      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 22.94/23.38      | X0 = X3 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18977]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2304,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9053_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18921,plain,
% 22.94/23.38      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2304]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18922,plain,
% 22.94/23.38      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 22.94/23.38      | ~ class_Numeral_Onumber__ring(X2) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18921]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2285,plain,
% 22.94/23.38      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9045_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18883,plain,
% 22.94/23.38      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2285]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18884,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18883]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2282,plain,
% 22.94/23.38      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9044_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18877,plain,
% 22.94/23.38      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2282]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18878,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18877]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2246,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9031_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18805,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 22.94/23.38      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2246]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18806,plain,
% 22.94/23.38      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 22.94/23.38      | ~ class_Power_Orecpower(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.38      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18805]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2235,plain,
% 22.94/23.38      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9025_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18783,plain,
% 22.94/23.38      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2235]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18784,plain,
% 22.94/23.38      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18783]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2229,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9024_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18771,plain,
% 22.94/23.38      ( ~ class_Orderings_Olinorder(X0)
% 22.94/23.38      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 22.94/23.38      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 22.94/23.38      | X1 = c_emptyset ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2229]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18772,plain,
% 22.94/23.38      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 22.94/23.38      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 22.94/23.38      | ~ class_Orderings_Olinorder(X1)
% 22.94/23.38      | X0 = c_emptyset ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18771]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2217,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 22.94/23.38      | c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9020_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18747,plain,
% 22.94/23.38      ( ~ class_Power_Orecpower(X0)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.38      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 22.94/23.38      | c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2217]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18748,plain,
% 22.94/23.38      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 22.94/23.38      | ~ class_Power_Orecpower(X1)
% 22.94/23.38      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.38      | c_Nat_Opower(X2,c_Numeral_Onumber__of(X0,tc_nat),X1) != c_0 ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18747]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2208,plain,
% 22.94/23.38      ( ~ class_HOL_Oone(X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9017_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18729,plain,
% 22.94/23.38      ( ~ class_HOL_Oone(X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2208]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18730,plain,
% 22.94/23.38      ( ~ c_less(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_less(c_uminus(X1,X0),c_1,X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ class_HOL_Oone(X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18729]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2204,plain,
% 22.94/23.38      ( ~ class_HOL_Oone(X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9016_0) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18721,plain,
% 22.94/23.38      ( ~ class_HOL_Oone(X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2204]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18722,plain,
% 22.94/23.38      ( ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 22.94/23.38      | c_lessequals(c_uminus(X1,X0),c_1,X0)
% 22.94/23.38      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.38      | ~ class_HOL_Oone(X0) ),
% 22.94/23.38      inference(rewriting,[status(thm)],[c_18721]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_2195,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.38      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9013_2) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18703,plain,
% 22.94/23.38      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.38      inference(copy,[status(esa)],[c_2195]) ).
% 22.94/23.38  
% 22.94/23.38  cnf(c_18704,plain,
% 22.94/23.38      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.38      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18703]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2193,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9013_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18699,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2193]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18700,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18699]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2192,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9012_2) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18697,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2192]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18698,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18697]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2190,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9012_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18693,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2190]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18694,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18693]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2189,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9011_2) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18691,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2189]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18692,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18691]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2187,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9011_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18687,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2187]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18688,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18687]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2186,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9010_2) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18685,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2186]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18686,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18685]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2184,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9010_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18681,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2184]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18682,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_nat) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18681]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2183,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9009_2) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18679,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2183]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18680,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18679]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2181,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9009_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18675,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2181]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18676,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18675]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2180,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9008_2) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18673,plain,
% 22.94/23.39      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2180]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18674,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18673]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2178,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9008_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18669,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2178]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18670,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 22.94/23.39      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18669]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2166,plain,
% 22.94/23.39      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.39      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9005_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18645,plain,
% 22.94/23.39      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.39      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2166]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18646,plain,
% 22.94/23.39      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 22.94/23.39      | ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Ofield(X0)
% 22.94/23.39      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18645]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2162,plain,
% 22.94/23.39      ( ~ class_HOL_Oone(X0)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.39      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 22.94/23.39      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9004_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18637,plain,
% 22.94/23.39      ( ~ class_HOL_Oone(X0)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.39      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 22.94/23.39      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2162]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18638,plain,
% 22.94/23.39      ( ~ c_less(c_1,c_uminus(X0,X1),X1)
% 22.94/23.39      | c_less(X0,c_uminus(c_1,X1),X1)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 22.94/23.39      | ~ class_HOL_Oone(X1) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18637]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2158,plain,
% 22.94/23.39      ( ~ class_HOL_Oone(X0)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.39      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 22.94/23.39      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9003_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18629,plain,
% 22.94/23.39      ( ~ class_HOL_Oone(X0)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 22.94/23.39      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 22.94/23.39      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2158]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18630,plain,
% 22.94/23.39      ( ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 22.94/23.39      | c_lessequals(X0,c_uminus(c_1,X1),X1)
% 22.94/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 22.94/23.39      | ~ class_HOL_Oone(X1) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18629]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2153,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9001_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18619,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 22.94/23.39      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2153]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18620,plain,
% 22.94/23.39      ( ~ c_less(c_0,X0,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18619]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2150,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9000_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18613,plain,
% 22.94/23.39      ( ~ c_Parity_Oeven(X0,tc_nat)
% 22.94/23.39      | ~ c_less(c_0,X1,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2150]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18614,plain,
% 22.94/23.39      ( ~ c_less(c_0,X0,tc_nat)
% 22.94/23.39      | c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat)
% 22.94/23.39      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18613]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2143,plain,
% 22.94/23.39      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.39      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 22.94/23.39      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8998_0) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18599,plain,
% 22.94/23.39      ( ~ class_Numeral_Onumber__ring(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.39      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 22.94/23.39      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 22.94/23.39      inference(copy,[status(esa)],[c_2143]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_18600,plain,
% 22.94/23.39      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 22.94/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 22.94/23.39      | ~ class_Numeral_Onumber__ring(X1)
% 22.94/23.39      | c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1) ),
% 22.94/23.39      inference(rewriting,[status(thm)],[c_18599]) ).
% 22.94/23.39  
% 22.94/23.39  cnf(c_2132,plain,
% 22.94/23.39      ( ~ class_Power_Orecpower(X0)
% 22.94/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 22.94/23.39      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 22.94/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8993_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18577,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2132]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18578,plain,
% 23.15/23.39      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 23.15/23.39      | ~ class_Power_Orecpower(X1)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18577]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2128,plain,
% 23.15/23.39      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.39      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8992_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18569,plain,
% 23.15/23.39      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.39      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2128]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18570,plain,
% 23.15/23.39      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.39      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18569]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2119,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8989_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18551,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2119]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18552,plain,
% 23.15/23.39      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 23.15/23.39      | ~ class_Power_Orecpower(X1)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18551]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2115,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 23.15/23.39      | X1 = c_0 ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8988_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18543,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 23.15/23.39      | X1 = c_0 ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2115]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18544,plain,
% 23.15/23.39      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 23.15/23.39      | ~ class_Power_Orecpower(X1)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.39      | X0 = c_0 ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18543]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2112,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.39      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 23.15/23.39      | c_less(X1,X2,tc_nat) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8987_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18537,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.39      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 23.15/23.39      | c_less(X1,X2,tc_nat) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2112]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18538,plain,
% 23.15/23.39      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 23.15/23.39      | c_less(X0,X2,tc_nat)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18537]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2109,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.39      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8986_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18531,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.39      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2109]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18532,plain,
% 23.15/23.39      ( ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 23.15/23.39      | c_lessequals(X0,X2,tc_nat)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18531]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2106,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 23.15/23.39      | c_less(X1,X2,tc_IntDef_Oint) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8985_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18525,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 23.15/23.39      | c_less(X1,X2,tc_IntDef_Oint) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2106]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18526,plain,
% 23.15/23.39      ( ~ c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 23.15/23.39      | c_less(X0,X2,tc_IntDef_Oint)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18525]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2103,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8984_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18519,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.39      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2103]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18520,plain,
% 23.15/23.39      ( ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 23.15/23.39      | c_lessequals(X0,X2,tc_IntDef_Oint)
% 23.15/23.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18519]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2099,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.39      | c_Parity_Oeven(X1,tc_nat)
% 23.15/23.39      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8983_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18511,plain,
% 23.15/23.39      ( ~ class_Power_Orecpower(X0)
% 23.15/23.39      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.39      | c_Parity_Oeven(X1,tc_nat)
% 23.15/23.39      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2099]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18512,plain,
% 23.15/23.39      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.39      | ~ class_Power_Orecpower(X0)
% 23.15/23.39      | c_Parity_Oeven(X1,tc_nat)
% 23.15/23.39      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18511]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2094,plain,
% 23.15/23.39      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.39      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.39      | c_less(X2,X1,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8981_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18501,plain,
% 23.15/23.39      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.39      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.39      | c_less(X2,X1,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2094]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18502,plain,
% 23.15/23.39      ( ~ c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.39      | c_less(X2,X0,X1)
% 23.15/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18501]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2091,plain,
% 23.15/23.39      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.39      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8980_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18495,plain,
% 23.15/23.39      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.39      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2091]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18496,plain,
% 23.15/23.39      ( ~ c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.39      | c_lessequals(X2,X0,X1)
% 23.15/23.39      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18495]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2077,plain,
% 23.15/23.39      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 23.15/23.39      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 23.15/23.39      | c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8976_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18467,plain,
% 23.15/23.39      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 23.15/23.39      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 23.15/23.39      | c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2077]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18468,plain,
% 23.15/23.39      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.15/23.39      | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 23.15/23.39      | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18467]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_2048,plain,
% 23.15/23.39      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8961_2) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18409,plain,
% 23.15/23.39      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_2048]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18410,plain,
% 23.15/23.39      ( c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18409]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_1997,plain,
% 23.15/23.39      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X1,X2,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8940_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18307,plain,
% 23.15/23.39      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X1,X2,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_1997]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18308,plain,
% 23.15/23.39      ( ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 23.15/23.39      | c_lessequals(X0,X2,X1)
% 23.15/23.39      | ~ class_Orderings_Olinorder(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18307]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_1994,plain,
% 23.15/23.39      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8939_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18301,plain,
% 23.15/23.39      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_1994]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18302,plain,
% 23.15/23.39      ( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 23.15/23.39      | c_lessequals(X2,X0,X1)
% 23.15/23.39      | ~ class_Orderings_Olinorder(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18301]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_1991,plain,
% 23.15/23.39      ( ~ class_Orderings_Oorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X1,X2,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8938_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18295,plain,
% 23.15/23.39      ( ~ class_Orderings_Oorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X1,X2,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_1991]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18296,plain,
% 23.15/23.39      ( ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 23.15/23.39      | c_lessequals(X0,X2,X1)
% 23.15/23.39      | ~ class_Orderings_Oorder(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18295]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_1988,plain,
% 23.15/23.39      ( ~ class_Orderings_Oorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8937_0) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18289,plain,
% 23.15/23.39      ( ~ class_Orderings_Oorder(X0)
% 23.15/23.39      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 23.15/23.39      | c_lessequals(X2,X1,X0) ),
% 23.15/23.39      inference(copy,[status(esa)],[c_1988]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_18290,plain,
% 23.15/23.39      ( ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 23.15/23.39      | c_lessequals(X2,X0,X1)
% 23.15/23.39      | ~ class_Orderings_Oorder(X1) ),
% 23.15/23.39      inference(rewriting,[status(thm)],[c_18289]) ).
% 23.15/23.39  
% 23.15/23.39  cnf(c_1982,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 23.15/23.40      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8935_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18277,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 23.15/23.40      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1982]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18278,plain,
% 23.15/23.40      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.40      | ~ class_Power_Orecpower(X2)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18277]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1974,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8932_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18261,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1974]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18262,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18261]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1962,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8927_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18237,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1962]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18238,plain,
% 23.15/23.40      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.40      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18237]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1944,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8919_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18201,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1944]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18202,plain,
% 23.15/23.40      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.40      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18201]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1886,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8900_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18085,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1886]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18086,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18085]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1871,plain,
% 23.15/23.40      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8894_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18055,plain,
% 23.15/23.40      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1871]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18056,plain,
% 23.15/23.40      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18055]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1855,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | c_lessequals(c_Finite__Set_OMin(X2,X0),X1,X0)
% 23.15/23.40      | X2 = c_emptyset ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8889_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18023,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | c_lessequals(c_Finite__Set_OMin(X2,X0),X1,X0)
% 23.15/23.40      | X2 = c_emptyset ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1855]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18024,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ c_in(X2,X0,X1)
% 23.15/23.40      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18023]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1850,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 23.15/23.40      | X2 = c_emptyset ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8888_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18013,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 23.15/23.40      | X2 = c_emptyset ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1850]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18014,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ c_in(X2,X0,X1)
% 23.15/23.40      | c_lessequals(X2,c_Finite__Set_OMax(X0,X1),X1)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18013]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1845,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X2 = c_emptyset
% 23.15/23.40      | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X0),X0) = X1 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8887_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18003,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X2 = c_emptyset
% 23.15/23.40      | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X0),X0) = X1 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1845]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_18004,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ c_in(X2,X0,X1)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | c_Orderings_Omax(X2,c_Finite__Set_OMin(X0,X1),X1) = X2
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_18003]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1840,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X2 = c_emptyset
% 23.15/23.40      | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X0),X0) = X1 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8886_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17993,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,X2,X0)
% 23.15/23.40      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X2 = c_emptyset
% 23.15/23.40      | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X0),X0) = X1 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1840]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17994,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ c_in(X2,X0,X1)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | c_Orderings_Omin(X2,c_Finite__Set_OMax(X0,X1),X1) = X2
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17993]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1835,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.40      | ~ c_less(c_1,X1,X0)
% 23.15/23.40      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 23.15/23.40      | X2 = X3 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8885_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17983,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.40      | ~ c_less(c_1,X1,X0)
% 23.15/23.40      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 23.15/23.40      | X2 = X3 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1835]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17984,plain,
% 23.15/23.40      ( ~ c_less(c_1,X0,X1)
% 23.15/23.40      | ~ class_Power_Orecpower(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 23.15/23.40      | c_Nat_Opower(X0,X2,X1) != c_Nat_Opower(X0,X3,X1)
% 23.15/23.40      | X2 = X3 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17983]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1831,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8883_2) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17975,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1831]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17976,plain,
% 23.15/23.40      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17975]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1829,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8883_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17971,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1829]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17972,plain,
% 23.15/23.40      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17971]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1812,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,X0) = c_0
% 23.15/23.40      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8879_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17937,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,X0) = c_0
% 23.15/23.40      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1812]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17938,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,X0) = c_0
% 23.15/23.40      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17937]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1807,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),c_Numeral_Onumber__of(X2,X0),X0) = X1
% 23.15/23.40      | c_Numeral_Onumber__of(X2,X0) = c_0 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8878_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17927,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),c_Numeral_Onumber__of(X2,X0),X0) = X1
% 23.15/23.40      | c_Numeral_Onumber__of(X2,X0) = c_0 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1807]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17928,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Ofield(X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,X0) = c_0
% 23.15/23.40      | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17927]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1803,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8877_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17919,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1803]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17920,plain,
% 23.15/23.40      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.40      | ~ class_Power_Orecpower(X2)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17919]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1790,plain,
% 23.15/23.40      ( ~ c_in(X0,X1,tc_set(X2))
% 23.15/23.40      | ~ c_in(X3,c_Inter(X1,X2),X2)
% 23.15/23.40      | c_in(X3,X0,X2) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8872_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17893,plain,
% 23.15/23.40      ( ~ c_in(X0,X1,tc_set(X2))
% 23.15/23.40      | ~ c_in(X3,c_Inter(X1,X2),X2)
% 23.15/23.40      | c_in(X3,X0,X2) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1790]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17894,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 23.15/23.40      | ~ c_in(X3,X1,tc_set(X2))
% 23.15/23.40      | c_in(X0,X3,X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17893]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1785,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.40      | X2 = c_0 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8871_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17883,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.40      | X2 = c_0 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1785]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17884,plain,
% 23.15/23.40      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.40      | ~ class_Power_Orecpower(X2)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | X0 = c_0 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17883]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1765,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8863_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17843,plain,
% 23.15/23.40      ( ~ class_Power_Orecpower(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1765]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17844,plain,
% 23.15/23.40      ( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 23.15/23.40      | ~ class_Power_Orecpower(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.40      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17843]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1749,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8857_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17811,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1749]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17812,plain,
% 23.15/23.40      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17811]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1745,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8856_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17803,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1745]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17804,plain,
% 23.15/23.40      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17803]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1723,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8846_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17759,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1723]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17760,plain,
% 23.15/23.40      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.40      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17759]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1712,plain,
% 23.15/23.40      ( c_inter(X0,X1,X2) != c_emptyset
% 23.15/23.40      | c_in(X3,X1,X2)
% 23.15/23.40      | c_inter(c_insert(X3,X0,X2),X1,X2) = c_emptyset ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8842_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17737,plain,
% 23.15/23.40      ( c_inter(X0,X1,X2) != c_emptyset
% 23.15/23.40      | c_in(X3,X1,X2)
% 23.15/23.40      | c_inter(c_insert(X3,X0,X2),X1,X2) = c_emptyset ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1712]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17738,plain,
% 23.15/23.40      ( c_in(X0,X1,X2)
% 23.15/23.40      | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 23.15/23.40      | c_inter(X3,X1,X2) != c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17737]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1706,plain,
% 23.15/23.40      ( c_inter(X0,X1,X2) != c_emptyset
% 23.15/23.40      | c_in(X3,X0,X2)
% 23.15/23.40      | c_inter(X0,c_insert(X3,X1,X2),X2) = c_emptyset ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8840_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17725,plain,
% 23.15/23.40      ( c_inter(X0,X1,X2) != c_emptyset
% 23.15/23.40      | c_in(X3,X0,X2)
% 23.15/23.40      | c_inter(X0,c_insert(X3,X1,X2),X2) = c_emptyset ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1706]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17726,plain,
% 23.15/23.40      ( c_in(X0,X1,X2)
% 23.15/23.40      | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 23.15/23.40      | c_inter(X1,X3,X2) != c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17725]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1694,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X1 = c_emptyset
% 23.15/23.40      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8836_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17701,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X1 = c_emptyset
% 23.15/23.40      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1694]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17702,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X0,X1),X1) = c_Finite__Set_OMin(c_insert(X2,X0,X1),X1)
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17701]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1690,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X1 = c_emptyset
% 23.15/23.40      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8835_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17693,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.40      | X1 = c_emptyset
% 23.15/23.40      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1690]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17694,plain,
% 23.15/23.40      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X0,X1),X1) = c_Finite__Set_OMax(c_insert(X2,X0,X1),X1)
% 23.15/23.40      | X0 = c_emptyset ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17693]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1663,plain,
% 23.15/23.40      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8824_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17639,plain,
% 23.15/23.40      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1663]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17640,plain,
% 23.15/23.40      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.40      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17639]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1654,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.15/23.40      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 23.15/23.40      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8821_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17621,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.15/23.40      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 23.15/23.40      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1654]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17622,plain,
% 23.15/23.40      ( ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 23.15/23.40      | c_lessequals(c_0,X0,X1)
% 23.15/23.40      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17621]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1651,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.15/23.40      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8820_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17615,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.15/23.40      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1651]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17616,plain,
% 23.15/23.40      ( ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 23.15/23.40      | c_lessequals(X0,c_0,X1)
% 23.15/23.40      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17615]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1636,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,X2,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8814_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17585,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,X2,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1636]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17586,plain,
% 23.15/23.40      ( ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 23.15/23.40      | c_less(X0,X1,X2)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17585]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1633,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,X2,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8813_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17579,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,X2,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1633]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17580,plain,
% 23.15/23.40      ( ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 23.15/23.40      | c_lessequals(X0,X1,X2)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17579]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1632,plain,
% 23.15/23.40      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8812_3) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17577,plain,
% 23.15/23.40      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1632]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17578,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17577]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1629,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8812_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17571,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1629]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17572,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17571]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1625,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8811_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17563,plain,
% 23.15/23.40      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1625]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17564,plain,
% 23.15/23.40      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.40      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17563]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1619,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_less(c_0,c_divide(c_1,X1,X0),X0)
% 23.15/23.40      | c_less(c_0,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8809_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17551,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_less(c_0,c_divide(c_1,X1,X0),X0)
% 23.15/23.40      | c_less(c_0,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1619]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17552,plain,
% 23.15/23.40      ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 23.15/23.40      | c_less(c_0,X0,X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17551]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1615,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_lessequals(c_0,c_divide(c_1,X1,X0),X0)
% 23.15/23.40      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8808_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17543,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_lessequals(c_0,c_divide(c_1,X1,X0),X0)
% 23.15/23.40      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1615]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17544,plain,
% 23.15/23.40      ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 23.15/23.40      | c_lessequals(c_0,X0,X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17543]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1611,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_less(c_divide(c_1,X1,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,c_0,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8807_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17535,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_less(c_divide(c_1,X1,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,c_0,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1611]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17536,plain,
% 23.15/23.40      ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 23.15/23.40      | c_less(X0,c_0,X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17535]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1607,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_lessequals(c_divide(c_1,X1,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8806_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17527,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.40      | ~ c_lessequals(c_divide(c_1,X1,X0),c_0,X0)
% 23.15/23.40      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1607]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17528,plain,
% 23.15/23.40      ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 23.15/23.40      | c_lessequals(X0,c_0,X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.40      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17527]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1603,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_less(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8805_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17519,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_less(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1603]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17520,plain,
% 23.15/23.40      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.40      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.40      | ~ class_Numeral_Onumber(X1)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17519]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1599,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8804_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17511,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.40      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1599]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17512,plain,
% 23.15/23.40      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.40      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.40      | ~ class_Numeral_Onumber(X1)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17511]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1595,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.40      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8803_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17503,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.40      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1595]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17504,plain,
% 23.15/23.40      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.40      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.40      | ~ class_Numeral_Onumber(X1)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17503]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1591,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.40      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8802_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17495,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 23.15/23.40      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1591]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17496,plain,
% 23.15/23.40      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.40      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.40      | ~ class_Numeral_Onumber(X1)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17495]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1586,plain,
% 23.15/23.40      ( ~ c_in(X0,X1,X2)
% 23.15/23.40      | c_in(X0,X3,X2)
% 23.15/23.40      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8800_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17485,plain,
% 23.15/23.40      ( ~ c_in(X0,X1,X2)
% 23.15/23.40      | c_in(X0,X3,X2)
% 23.15/23.40      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1586]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17486,plain,
% 23.15/23.40      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 23.15/23.40      | ~ c_in(X0,X1,X3)
% 23.15/23.40      | c_in(X0,X2,X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17485]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1583,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.40      | ~ c_lessequals(X1,X2,tc_nat)
% 23.15/23.40      | c_minus(c_NatArith_Oof__nat(X2,X0),c_NatArith_Oof__nat(X1,X0),X0) = c_NatArith_Oof__nat(c_minus(X2,X1,tc_nat),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8799_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17479,plain,
% 23.15/23.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.40      | ~ c_lessequals(X1,X2,tc_nat)
% 23.15/23.40      | c_minus(c_NatArith_Oof__nat(X2,X0),c_NatArith_Oof__nat(X1,X0),X0) = c_NatArith_Oof__nat(c_minus(X2,X1,tc_nat),X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1583]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17480,plain,
% 23.15/23.40      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.15/23.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
% 23.15/23.40      | c_minus(c_NatArith_Oof__nat(X1,X2),c_NatArith_Oof__nat(X0,X2),X2) = c_NatArith_Oof__nat(c_minus(X1,X0,tc_nat),X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17479]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1580,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8798_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17473,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1580]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17474,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17473]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1577,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X2,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8797_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17467,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X2,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1577]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17468,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X1,X0,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17467]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1574,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8796_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17461,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1574]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17462,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17461]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1571,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X2,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8795_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17455,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X2,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1571]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17456,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X1,X0,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17455]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1568,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8794_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17449,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1568]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17450,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17449]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1565,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X2,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8793_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17443,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X2,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1565]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17444,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X1,X0,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17443]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1562,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8792_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17437,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1562]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17438,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17437]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1559,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X2,X1,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8791_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17431,plain,
% 23.15/23.40      ( ~ class_Orderings_Oord(X0)
% 23.15/23.40      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X2,X1,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1559]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17432,plain,
% 23.15/23.40      ( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X1,X0,X3)
% 23.15/23.40      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17431]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1556,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_lessequals(X2,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8790_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17425,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_lessequals(X2,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1556]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17426,plain,
% 23.15/23.40      ( ~ c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.40      | c_lessequals(X1,X3,X2)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17425]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1553,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8789_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17419,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1553]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17420,plain,
% 23.15/23.40      ( ~ c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.40      | c_lessequals(X0,X3,X2)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17419]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1550,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8788_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17413,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1550]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17414,plain,
% 23.15/23.40      ( ~ c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17413]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1547,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X2,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8787_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17407,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_lessequals(X1,X2,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1547]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17408,plain,
% 23.15/23.40      ( ~ c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.40      | c_lessequals(X0,X1,X3)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17407]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1544,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8786_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17401,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1544]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17402,plain,
% 23.15/23.40      ( ~ c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X0,X2,X3)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17401]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1541,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X2,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8785_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17395,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.15/23.40      | c_less(X1,X2,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1541]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17396,plain,
% 23.15/23.40      ( ~ c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.40      | c_less(X0,X1,X3)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17395]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1538,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_less(X2,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8784_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17389,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_less(X2,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1538]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17390,plain,
% 23.15/23.40      ( ~ c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.40      | c_less(X1,X3,X2)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17389]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1535,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8783_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17383,plain,
% 23.15/23.40      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.15/23.40      | c_less(X1,X3,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1535]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17384,plain,
% 23.15/23.40      ( ~ c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.40      | c_less(X0,X3,X2)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17383]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1530,plain,
% 23.15/23.40      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.40      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 23.15/23.40      | c_in(X3,X1,X2) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8781_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17373,plain,
% 23.15/23.40      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.40      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 23.15/23.40      | c_in(X3,X1,X2) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1530]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17374,plain,
% 23.15/23.40      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.15/23.40      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.15/23.40      | c_in(X0,X3,X2) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17373]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1525,plain,
% 23.15/23.40      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8779_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17363,plain,
% 23.15/23.40      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1525]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17364,plain,
% 23.15/23.40      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X0,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17363]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1521,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,c_0,X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8778_0) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17355,plain,
% 23.15/23.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X0)
% 23.15/23.40      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 23.15/23.40      | c_less(X1,c_0,X0) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1521]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17356,plain,
% 23.15/23.40      ( ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 23.15/23.40      | c_less(X0,c_0,X1)
% 23.15/23.40      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17355]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1520,plain,
% 23.15/23.40      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X0,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8777_2) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17353,plain,
% 23.15/23.40      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X0,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1520]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17354,plain,
% 23.15/23.40      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.40      | ~ c_less(c_0,X1,tc_nat)
% 23.15/23.40      | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17353]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1508,plain,
% 23.15/23.40      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.15/23.40      | ~ c_lessequals(c_1,X0,tc_nat)
% 23.15/23.40      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8772_2) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17329,plain,
% 23.15/23.40      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.15/23.40      | ~ c_lessequals(c_1,X0,tc_nat)
% 23.15/23.40      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1508]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17330,plain,
% 23.15/23.40      ( ~ c_lessequals(c_1,X0,tc_nat)
% 23.15/23.40      | ~ c_lessequals(c_1,X1,tc_nat)
% 23.15/23.40      | c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17329]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1493,plain,
% 23.15/23.40      ( X0 = X1
% 23.15/23.40      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 23.15/23.40      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.15/23.40      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8765_3) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17299,plain,
% 23.15/23.40      ( X0 = X1
% 23.15/23.40      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 23.15/23.40      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.15/23.40      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 23.15/23.40      inference(copy,[status(esa)],[c_1493]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_17300,plain,
% 23.15/23.40      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.15/23.40      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.15/23.40      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 23.15/23.40      | X0 = X1 ),
% 23.15/23.40      inference(rewriting,[status(thm)],[c_17299]) ).
% 23.15/23.40  
% 23.15/23.40  cnf(c_1482,plain,
% 23.15/23.40      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.40      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.40      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.40      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8762_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17277,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.41      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1482]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17278,plain,
% 23.15/23.41      ( ~ c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.41      | c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.41      | ~ class_Numeral_Onumber(X1)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17277]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1478,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.41      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8761_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17269,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.41      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1478]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17270,plain,
% 23.15/23.41      ( ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.41      | c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.41      | ~ class_Numeral_Onumber(X1)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17269]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1474,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.41      | c_less(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8760_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17261,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.41      | c_less(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1474]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17262,plain,
% 23.15/23.41      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.41      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.41      | ~ class_Numeral_Onumber(X1)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17261]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1470,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.41      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8759_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17253,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.41      | ~ c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.41      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1470]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17254,plain,
% 23.15/23.41      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 23.15/23.41      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.41      | ~ class_Numeral_Onumber(X1)
% 23.15/23.41      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17253]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1445,plain,
% 23.15/23.41      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | c_in(X0,c_inter(X3,X1,X2),X2) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8748_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17203,plain,
% 23.15/23.41      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | c_in(X0,c_inter(X3,X1,X2),X2) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1445]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17204,plain,
% 23.15/23.41      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17203]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1444,plain,
% 23.15/23.41      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.15/23.41      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 23.15/23.41      | ~ c_List_Odistinct(X0,X2)
% 23.15/23.41      | ~ c_List_Odistinct(X1,X2) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8747_3) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17201,plain,
% 23.15/23.41      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.15/23.41      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 23.15/23.41      | ~ c_List_Odistinct(X0,X2)
% 23.15/23.41      | ~ c_List_Odistinct(X1,X2) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1444]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17202,plain,
% 23.15/23.41      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.15/23.41      | ~ c_List_Odistinct(X0,X2)
% 23.15/23.41      | ~ c_List_Odistinct(X1,X2)
% 23.15/23.41      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17201]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1441,plain,
% 23.15/23.41      ( ~ c_List_Odistinct(X0,X1)
% 23.15/23.41      | ~ c_List_Odistinct(X2,X1)
% 23.15/23.41      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 23.15/23.41      | c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8747_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17195,plain,
% 23.15/23.41      ( ~ c_List_Odistinct(X0,X1)
% 23.15/23.41      | ~ c_List_Odistinct(X2,X1)
% 23.15/23.41      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 23.15/23.41      | c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1441]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17196,plain,
% 23.15/23.41      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.15/23.41      | ~ c_List_Odistinct(X1,X2)
% 23.15/23.41      | ~ c_List_Odistinct(X0,X2)
% 23.15/23.41      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17195]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1433,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8744_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17179,plain,
% 23.15/23.41      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1433]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17180,plain,
% 23.15/23.41      ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.41      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17179]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1429,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_ONats,X0)
% 23.15/23.41      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8743_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17171,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_ONats,X0)
% 23.15/23.41      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1429]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17172,plain,
% 23.15/23.41      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X2)
% 23.15/23.41      | ~ c_in(X0,c_IntDef_ONats,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17171]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1425,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_ONats,X0)
% 23.15/23.41      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8742_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17163,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_ONats,X0)
% 23.15/23.41      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1425]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17164,plain,
% 23.15/23.41      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_ONats,X2)
% 23.15/23.41      | ~ c_in(X0,c_IntDef_ONats,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17163]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1421,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8741_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17155,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1421]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17156,plain,
% 23.15/23.41      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17155]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1417,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8740_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17147,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1417]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17148,plain,
% 23.15/23.41      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17147]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1413,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8739_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17139,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.15/23.41      | ~ c_in(X2,c_IntDef_OInts,X0)
% 23.15/23.41      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1413]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17140,plain,
% 23.15/23.41      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17139]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1393,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 23.15/23.41      | X1 = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8733_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17099,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 23.15/23.41      | X1 = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1393]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17100,plain,
% 23.15/23.41      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 23.15/23.41      | ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | X1 = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17099]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1388,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8732_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17089,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1388]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17090,plain,
% 23.15/23.41      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.41      | ~ c_less(c_0,X0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17089]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1383,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8731_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17079,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1383]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17080,plain,
% 23.15/23.41      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.41      | ~ c_lessequals(c_0,X0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17079]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1378,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8730_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17069,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1378]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17070,plain,
% 23.15/23.41      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | ~ c_less(X0,c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17069]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1364,plain,
% 23.15/23.41      ( ~ class_Orderings_Oord(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X3,X1,X0)
% 23.15/23.41      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8724_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17041,plain,
% 23.15/23.41      ( ~ class_Orderings_Oord(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X3,X1,X0)
% 23.15/23.41      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1364]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17042,plain,
% 23.15/23.41      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 23.15/23.41      | ~ c_less(X0,X2,X3)
% 23.15/23.41      | ~ c_less(X1,X0,X3)
% 23.15/23.41      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17041]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1352,plain,
% 23.15/23.41      ( ~ class_Orderings_Oord(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X3,X1,X0)
% 23.15/23.41      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8721_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17017,plain,
% 23.15/23.41      ( ~ class_Orderings_Oord(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X3,X1,X0)
% 23.15/23.41      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1352]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17018,plain,
% 23.15/23.41      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 23.15/23.41      | ~ c_lessequals(X0,X2,X3)
% 23.15/23.41      | ~ c_lessequals(X1,X0,X3)
% 23.15/23.41      | ~ class_Orderings_Oord(X3) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17017]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1348,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X3,X2,X0)
% 23.15/23.41      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8720_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17009,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X3,X2,X0)
% 23.15/23.41      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1348]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17010,plain,
% 23.15/23.41      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.41      | ~ c_lessequals(X1,X3,X2)
% 23.15/23.41      | ~ c_lessequals(X0,X3,X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17009]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1344,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X3,X0)
% 23.15/23.41      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8719_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17001,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X3,X0)
% 23.15/23.41      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1344]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_17002,plain,
% 23.15/23.41      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.41      | ~ c_lessequals(X0,X2,X3)
% 23.15/23.41      | ~ c_lessequals(X0,X1,X3)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_17001]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1340,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X1,X3,X0)
% 23.15/23.41      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8718_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16993,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X1,X3,X0)
% 23.15/23.41      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1340]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16994,plain,
% 23.15/23.41      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.15/23.41      | ~ c_less(X0,X2,X3)
% 23.15/23.41      | ~ c_less(X0,X1,X3)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X3) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16993]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1336,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X3,X2,X0)
% 23.15/23.41      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8717_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16985,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X3,X2,X0)
% 23.15/23.41      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1336]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16986,plain,
% 23.15/23.41      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.15/23.41      | ~ c_less(X1,X3,X2)
% 23.15/23.41      | ~ c_less(X0,X3,X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16985]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1331,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | c_less(c_1,c_divide(X2,X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8716_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16975,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | c_less(c_1,c_divide(X2,X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1331]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16976,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | c_less(c_1,c_divide(X2,X0,X1),X1)
% 23.15/23.41      | ~ c_less(X0,X2,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16975]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1311,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | c_less(c_divide(X1,X2,X0),c_1,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8712_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16935,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | c_less(c_divide(X1,X2,X0),c_1,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1311]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16936,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | c_less(c_divide(X2,X0,X1),c_1,X1)
% 23.15/23.41      | ~ c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16935]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1283,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMin__gr__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8704_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16879,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMin__gr__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1283]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16880,plain,
% 23.15/23.41      ( c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 23.15/23.41      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16879]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1278,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMin__ge__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8703_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16869,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMin__ge__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1278]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16870,plain,
% 23.15/23.41      ( c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 23.15/23.41      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16869]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1273,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8702_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16859,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1273]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16860,plain,
% 23.15/23.41      ( c_in(c_Main_OMax__less__iff__1(X0,X1,X2),X0,X2)
% 23.15/23.41      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | c_less(c_Finite__Set_OMax(X0,X2),X1,X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16859]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1268,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8701_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16849,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 23.15/23.41      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.41      | X1 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1268]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16850,plain,
% 23.15/23.41      ( c_in(c_Main_OMax__le__iff__1(X0,X1,X2),X0,X2)
% 23.15/23.41      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | c_lessequals(c_Finite__Set_OMax(X0,X2),X1,X2)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X2)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16849]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1250,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8696_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16813,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.41      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1250]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16814,plain,
% 23.15/23.41      ( c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | ~ c_lessequals(X0,c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16813]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1247,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8695_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16807,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1247]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16808,plain,
% 23.15/23.41      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 23.15/23.41      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16807]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1243,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8694_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16799,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1243]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16800,plain,
% 23.15/23.41      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16799]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1238,plain,
% 23.15/23.41      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X3,X1,tc_set(X2))
% 23.15/23.41      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8692_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16789,plain,
% 23.15/23.41      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X3,X1,tc_set(X2))
% 23.15/23.41      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1238]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16790,plain,
% 23.15/23.41      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X1,X3,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16789]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1235,plain,
% 23.15/23.41      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X0,X3,tc_set(X2))
% 23.15/23.41      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8691_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16783,plain,
% 23.15/23.41      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.15/23.41      | ~ c_lessequals(X0,X3,tc_set(X2))
% 23.15/23.41      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1235]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16784,plain,
% 23.15/23.41      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.15/23.41      | ~ c_lessequals(X0,X2,tc_set(X3))
% 23.15/23.41      | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16783]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1202,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8680_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16717,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1202]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16718,plain,
% 23.15/23.41      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | ~ c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16717]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1199,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8679_2) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16711,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1199]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16712,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16711]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1197,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8679_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16707,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1197]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16708,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 23.15/23.41      | ~ c_less(X0,X2,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16707]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1192,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8678_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16697,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1192]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16698,plain,
% 23.15/23.41      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16697]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1187,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8677_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16687,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.41      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1187]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16688,plain,
% 23.15/23.41      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16687]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1182,plain,
% 23.15/23.41      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8675_2) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16677,plain,
% 23.15/23.41      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1182]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16678,plain,
% 23.15/23.41      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.41      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.41      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16677]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1174,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_less(X3,c_Finite__Set_OMin(X2,X0),X0)
% 23.15/23.41      | c_less(X3,X1,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8674_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16661,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_less(X3,c_Finite__Set_OMin(X2,X0),X0)
% 23.15/23.41      | c_less(X3,X1,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1174]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16662,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,X0,X1)
% 23.15/23.41      | ~ c_less(X3,c_Finite__Set_OMin(X0,X1),X1)
% 23.15/23.41      | c_less(X3,X2,X1)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16661]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1168,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_lessequals(X3,c_Finite__Set_OMin(X2,X0),X0)
% 23.15/23.41      | c_lessequals(X3,X1,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8673_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16649,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_lessequals(X3,c_Finite__Set_OMin(X2,X0),X0)
% 23.15/23.41      | c_lessequals(X3,X1,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1168]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16650,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,X0,X1)
% 23.15/23.41      | ~ c_lessequals(X3,c_Finite__Set_OMin(X0,X1),X1)
% 23.15/23.41      | c_lessequals(X3,X2,X1)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16649]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1162,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_less(c_Finite__Set_OMax(X2,X0),X3,X0)
% 23.15/23.41      | c_less(X1,X3,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8672_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16637,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_less(c_Finite__Set_OMax(X2,X0),X3,X0)
% 23.15/23.41      | c_less(X1,X3,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1162]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16638,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,X0,X1)
% 23.15/23.41      | ~ c_less(c_Finite__Set_OMax(X0,X1),X3,X1)
% 23.15/23.41      | c_less(X2,X3,X1)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16637]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1156,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_lessequals(c_Finite__Set_OMax(X2,X0),X3,X0)
% 23.15/23.41      | c_lessequals(X1,X3,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8671_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16625,plain,
% 23.15/23.41      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.41      | ~ c_in(X1,X2,X0)
% 23.15/23.41      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.41      | ~ c_lessequals(c_Finite__Set_OMax(X2,X0),X3,X0)
% 23.15/23.41      | c_lessequals(X1,X3,X0)
% 23.15/23.41      | X2 = c_emptyset ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1156]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16626,plain,
% 23.15/23.41      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.41      | ~ c_in(X2,X0,X1)
% 23.15/23.41      | ~ c_lessequals(c_Finite__Set_OMax(X0,X1),X3,X1)
% 23.15/23.41      | c_lessequals(X2,X3,X1)
% 23.15/23.41      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.41      | X0 = c_emptyset ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16625]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1137,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_less(X1,c_0,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8663_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16587,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_less(X1,c_0,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1137]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16588,plain,
% 23.15/23.41      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | c_less(X0,c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16587]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1126,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_lessequals(X1,c_0,X0)
% 23.15/23.41      | X1 = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8659_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16565,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.41      | c_lessequals(X1,c_0,X0)
% 23.15/23.41      | X1 = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1126]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16566,plain,
% 23.15/23.41      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | c_lessequals(X0,c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | X0 = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16565]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1120,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8657_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16553,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1120]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16554,plain,
% 23.15/23.41      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16553]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1111,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 23.15/23.41      | X2 = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8654_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16535,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 23.15/23.41      | X2 = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1111]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16536,plain,
% 23.15/23.41      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.41      | ~ class_Power_Orecpower(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | X0 = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16535]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1103,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8650_3) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16519,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1103]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16520,plain,
% 23.15/23.41      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16519]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1100,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8650_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16513,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1100]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16514,plain,
% 23.15/23.41      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16513]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1098,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8649_3) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16509,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_less(X1,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1098]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16510,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | c_less(X2,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16509]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1095,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8649_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16503,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1095]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16504,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 23.15/23.41      | c_less(X0,X2,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16503]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1093,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8648_3) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16499,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1093]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16500,plain,
% 23.15/23.41      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16499]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1090,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8648_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16493,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(X2,c_0,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1090]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16494,plain,
% 23.15/23.41      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(X2,c_0,X1)
% 23.15/23.41      | ~ c_less(X0,c_0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16493]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1088,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8647_3) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16489,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1088]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16490,plain,
% 23.15/23.41      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16489]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1085,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8647_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16483,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_0,X2,X0)
% 23.15/23.41      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1085]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16484,plain,
% 23.15/23.41      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.15/23.41      | c_lessequals(X2,X0,X1)
% 23.15/23.41      | ~ c_less(c_0,X2,X1)
% 23.15/23.41      | ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16483]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1080,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.41      | c_less(c_0,c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8646_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16473,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.41      | c_less(c_0,c_0,X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1080]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16474,plain,
% 23.15/23.41      ( c_less(c_0,c_0,X0)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.41      | ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16473]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1067,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8642_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16447,plain,
% 23.15/23.41      ( ~ class_Power_Orecpower(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.41      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 23.15/23.41      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1067]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16448,plain,
% 23.15/23.41      ( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 23.15/23.41      | ~ class_Power_Orecpower(X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.41      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.15/23.41      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16447]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1058,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8639_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16429,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_less(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1058]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16430,plain,
% 23.15/23.41      ( ~ c_less(c_0,X0,X1)
% 23.15/23.41      | ~ c_less(c_1,c_divide(X2,X0,X1),X1)
% 23.15/23.41      | c_less(X0,X2,X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.41      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16429]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1053,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_less(X2,X1,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8638_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16419,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(X1,c_0,X0)
% 23.15/23.41      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_less(X2,X1,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1053]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16420,plain,
% 23.15/23.41      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 23.15/23.41      | ~ c_less(X1,c_0,X2)
% 23.15/23.41      | c_less(X0,X1,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16419]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_1048,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8637_0) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16409,plain,
% 23.15/23.41      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.41      | ~ c_less(c_0,X1,X0)
% 23.15/23.41      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.41      | c_lessequals(X1,X2,X0) ),
% 23.15/23.41      inference(copy,[status(esa)],[c_1048]) ).
% 23.15/23.41  
% 23.15/23.41  cnf(c_16410,plain,
% 23.15/23.41      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 23.15/23.41      | c_lessequals(X1,X0,X2)
% 23.15/23.41      | ~ c_less(c_0,X1,X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.41      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.41      inference(rewriting,[status(thm)],[c_16409]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1043,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8636_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16399,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1043]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16400,plain,
% 23.15/23.42      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 23.15/23.42      | c_lessequals(X0,X1,X2)
% 23.15/23.42      | ~ c_less(X1,c_0,X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16399]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1038,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_less(X2,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8635_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16389,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_less(X2,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1038]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16390,plain,
% 23.15/23.42      ( ~ c_less(c_0,X0,X1)
% 23.15/23.42      | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 23.15/23.42      | c_less(X2,X0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16389]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1033,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_less(X1,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8634_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16379,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_less(X1,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1033]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16380,plain,
% 23.15/23.42      ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 23.15/23.42      | ~ c_less(X1,c_0,X2)
% 23.15/23.42      | c_less(X1,X0,X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16379]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1028,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8633_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16369,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1028]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16370,plain,
% 23.15/23.42      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 23.15/23.42      | c_lessequals(X0,X1,X2)
% 23.15/23.42      | ~ c_less(c_0,X1,X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16369]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1023,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_lessequals(X1,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8632_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16359,plain,
% 23.15/23.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 23.15/23.42      | c_lessequals(X1,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1023]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16360,plain,
% 23.15/23.42      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 23.15/23.42      | c_lessequals(X1,X0,X2)
% 23.15/23.42      | ~ c_less(X1,c_0,X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16359]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1017,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 23.15/23.42      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8630_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16347,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber__ring(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 23.15/23.42      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1017]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16348,plain,
% 23.15/23.42      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 23.15/23.42      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16347]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_1011,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.42      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8628_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16335,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.42      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_1011]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16336,plain,
% 23.15/23.42      ( ~ c_lessequals(X0,X1,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2)
% 23.15/23.42      | c_minus(c_SetInterval_OatLeastLessThan(X0,X3,X2),c_SetInterval_OatLeastLessThan(X0,X1,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X1,X3,X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16335]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_998,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8624_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16309,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(c_0,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_998]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16310,plain,
% 23.15/23.42      ( ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.42      | c_lessequals(c_0,X0,X2)
% 23.15/23.42      | ~ class_Power_Orecpower(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16309]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_993,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8623_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16299,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_993]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16300,plain,
% 23.15/23.42      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 23.15/23.42      | c_lessequals(X0,c_0,X2)
% 23.15/23.42      | ~ class_Power_Orecpower(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16299]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_988,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8622_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16289,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      inference(copy,[status(esa)],[c_988]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16290,plain,
% 23.15/23.42      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.42      | c_less(X2,c_Finite__Set_OMin(X0,X1),X1)
% 23.15/23.42      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X0,X2,X1),X1)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.42      | X0 = c_emptyset ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16289]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_983,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8621_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16279,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      inference(copy,[status(esa)],[c_983]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16280,plain,
% 23.15/23.42      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.42      | c_lessequals(X2,c_Finite__Set_OMin(X0,X1),X1)
% 23.15/23.42      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X0,X2,X1),X1)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.42      | X0 = c_emptyset ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16279]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_978,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 23.15/23.42      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8620_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16269,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 23.15/23.42      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      inference(copy,[status(esa)],[c_978]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16270,plain,
% 23.15/23.42      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.42      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 23.15/23.42      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.42      | X0 = c_emptyset ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16269]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_973,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 23.15/23.42      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8619_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16259,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 23.15/23.42      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 23.15/23.42      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 23.15/23.42      | X1 = c_emptyset ),
% 23.15/23.42      inference(copy,[status(esa)],[c_973]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16260,plain,
% 23.15/23.42      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.15/23.42      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 23.15/23.42      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X1)
% 23.15/23.42      | X0 = c_emptyset ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16259]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_967,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_less(c_0,X1,X0)
% 23.15/23.42      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8618_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16247,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.42      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 23.15/23.42      | c_less(c_0,X1,X0)
% 23.15/23.42      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 23.15/23.42      inference(copy,[status(esa)],[c_967]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16248,plain,
% 23.15/23.42      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 23.15/23.42      | c_less(c_0,X0,X2)
% 23.15/23.42      | ~ class_Power_Orecpower(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.15/23.42      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.15/23.42      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16247]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_961,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8617_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16235,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_961]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16236,plain,
% 23.15/23.42      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | ~ c_less(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16235]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_955,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8616_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16223,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_955]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16224,plain,
% 23.15/23.42      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | ~ c_less(c_0,X2,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16223]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_949,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8615_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16211,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_949]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16212,plain,
% 23.15/23.42      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | ~ c_lessequals(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16211]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_943,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8614_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16199,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_943]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16200,plain,
% 23.15/23.42      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | ~ c_lessequals(c_0,X2,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16199]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_937,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8613_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16187,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_937]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16188,plain,
% 23.15/23.42      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_less(c_0,X2,X1)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16187]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_931,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8612_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16175,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_931]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16176,plain,
% 23.15/23.42      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | ~ c_less(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16175]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_925,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8611_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16163,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_925]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16164,plain,
% 23.15/23.42      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_lessequals(c_0,X2,X1)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16163]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_919,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8610_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16151,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_919]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16152,plain,
% 23.15/23.42      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | ~ c_lessequals(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16151]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_906,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.42      | ~ c_less(X1,X2,tc_nat)
% 23.15/23.42      | ~ c_less(c_1,X3,X0)
% 23.15/23.42      | c_less(c_Nat_Opower(X3,X1,X0),c_Nat_Opower(X3,X2,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8606_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16125,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.42      | ~ c_less(X1,X2,tc_nat)
% 23.15/23.42      | ~ c_less(c_1,X3,X0)
% 23.15/23.42      | c_less(c_Nat_Opower(X3,X1,X0),c_Nat_Opower(X3,X2,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_906]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16126,plain,
% 23.15/23.42      ( ~ c_less(c_1,X0,X1)
% 23.15/23.42      | c_less(c_Nat_Opower(X0,X2,X1),c_Nat_Opower(X0,X3,X1),X1)
% 23.15/23.42      | ~ c_less(X2,X3,tc_nat)
% 23.15/23.42      | ~ class_Power_Orecpower(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16125]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_901,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.42      | ~ c_less(c_1,X1,X0)
% 23.15/23.42      | ~ c_lessequals(X2,X3,tc_nat)
% 23.15/23.42      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8605_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16115,plain,
% 23.15/23.42      ( ~ class_Power_Orecpower(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.42      | ~ c_less(c_1,X1,X0)
% 23.15/23.42      | ~ c_lessequals(X2,X3,tc_nat)
% 23.15/23.42      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_901]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16116,plain,
% 23.15/23.42      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 23.15/23.42      | ~ c_lessequals(X1,X3,tc_nat)
% 23.15/23.42      | ~ c_less(c_1,X0,X2)
% 23.15/23.42      | ~ class_Power_Orecpower(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16115]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_895,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.42      | ~ c_lessequals(X3,X4,X0)
% 23.15/23.42      | c_lessequals(c_SetInterval_OatLeastLessThan(X4,X1,X0),c_SetInterval_OatLeastLessThan(X3,X2,X0),tc_set(X0)) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8603_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16103,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.42      | ~ c_lessequals(X3,X4,X0)
% 23.15/23.42      | c_lessequals(c_SetInterval_OatLeastLessThan(X4,X1,X0),c_SetInterval_OatLeastLessThan(X3,X2,X0),tc_set(X0)) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_895]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16104,plain,
% 23.15/23.42      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.15/23.42      | ~ c_lessequals(X1,X4,X2)
% 23.15/23.42      | ~ c_lessequals(X3,X0,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16103]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_886,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8601_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16085,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_886]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16086,plain,
% 23.15/23.42      ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_less(c_0,X2,X1)
% 23.15/23.42      | c_less(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16085]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_880,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8600_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16073,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_880]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16074,plain,
% 23.15/23.42      ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_lessequals(c_0,X2,X1)
% 23.15/23.42      | c_lessequals(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16073]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_874,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8599_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16061,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_874]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16062,plain,
% 23.15/23.42      ( c_less(c_0,X0,X1)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 23.15/23.42      | c_less(X0,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16061]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_868,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8598_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16049,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_868]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16050,plain,
% 23.15/23.42      ( c_lessequals(c_0,X0,X1)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 23.15/23.42      | c_lessequals(X0,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16049]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_853,plain,
% 23.15/23.42      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.42      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.42      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8591_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16019,plain,
% 23.15/23.42      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.42      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.15/23.42      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_853]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16020,plain,
% 23.15/23.42      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.15/23.42      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.15/23.42      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16019]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_846,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8590_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16005,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(X1,c_0,X0)
% 23.15/23.42      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_846]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_16006,plain,
% 23.15/23.42      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | ~ c_less(X2,c_0,X1)
% 23.15/23.42      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_16005]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_839,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8589_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15991,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_839]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15992,plain,
% 23.15/23.42      ( ~ c_lessequals(X0,c_0,X1)
% 23.15/23.42      | c_lessequals(X0,c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15991]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_832,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8588_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15977,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,X1,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_832]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15978,plain,
% 23.15/23.42      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | ~ c_less(c_0,X2,X1)
% 23.15/23.42      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15977]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_825,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8587_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15963,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_825]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15964,plain,
% 23.15/23.42      ( ~ c_lessequals(c_0,X0,X1)
% 23.15/23.42      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15963]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_822,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 23.15/23.42      | c_less(X1,X3,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8586_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15957,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 23.15/23.42      | c_less(X1,X3,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_822]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15958,plain,
% 23.15/23.42      ( ~ c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 23.15/23.42      | c_less(X0,X3,X2)
% 23.15/23.42      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15957]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_819,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 23.15/23.42      | c_less(X2,X3,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8585_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15951,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 23.15/23.42      | c_less(X2,X3,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_819]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15952,plain,
% 23.15/23.42      ( ~ c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 23.15/23.42      | c_less(X1,X3,X2)
% 23.15/23.42      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15951]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_816,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 23.15/23.42      | c_lessequals(X1,X3,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8584_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15945,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 23.15/23.42      | c_lessequals(X1,X3,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_816]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15946,plain,
% 23.15/23.42      ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 23.15/23.42      | c_lessequals(X0,X3,X2)
% 23.15/23.42      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15945]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_813,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 23.15/23.42      | c_lessequals(X2,X3,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8583_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15939,plain,
% 23.15/23.42      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.42      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 23.15/23.42      | c_lessequals(X2,X3,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_813]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15940,plain,
% 23.15/23.42      ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 23.15/23.42      | c_lessequals(X1,X3,X2)
% 23.15/23.42      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15939]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_807,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(c_0,X2,X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8582_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15927,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(c_0,X2,X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_807]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15928,plain,
% 23.15/23.42      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_less(c_0,X2,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15927]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_801,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8581_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15915,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_801]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15916,plain,
% 23.15/23.42      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_less(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15915]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_795,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8580_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15903,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,X2,X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_795]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15904,plain,
% 23.15/23.42      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_lessequals(c_0,X2,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15903]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_789,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8579_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15891,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_789]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15892,plain,
% 23.15/23.42      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.15/23.42      | c_lessequals(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15891]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_783,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8578_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15879,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_less(X2,c_0,X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_783]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15880,plain,
% 23.15/23.42      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | c_less(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15879]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_771,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8576_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15855,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(X2,c_0,X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_771]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15856,plain,
% 23.15/23.42      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.15/23.42      | c_lessequals(X2,c_0,X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15855]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_717,plain,
% 23.15/23.42      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.42      | ~ c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8561_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15747,plain,
% 23.15/23.42      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.42      | ~ c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_717]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15748,plain,
% 23.15/23.42      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X0,X2,tc_nat)
% 23.15/23.42      | ~ c_less(c_0,X1,tc_nat) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15747]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_714,plain,
% 23.15/23.42      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.42      | ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8560_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15741,plain,
% 23.15/23.42      ( ~ c_less(c_0,X0,tc_nat)
% 23.15/23.42      | ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,X2,tc_nat) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_714]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15742,plain,
% 23.15/23.42      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.15/23.42      | c_lessequals(X1,X2,tc_nat)
% 23.15/23.42      | ~ c_less(c_0,X0,tc_nat) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15741]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_709,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8559_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15731,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_709]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15732,plain,
% 23.15/23.42      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15731]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_704,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8558_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15721,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_704]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15722,plain,
% 23.15/23.42      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15721]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_699,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8557_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15711,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_699]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15712,plain,
% 23.15/23.42      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.42      | ~ class_Numeral_Onumber(X2)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15711]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_694,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8556_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15701,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.42      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_694]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15702,plain,
% 23.15/23.42      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.42      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.42      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.42      | ~ class_Numeral_Onumber(X1)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15701]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_691,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X1,X0)
% 23.15/23.42      | c_lessequals(X2,X4,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8555_1) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15695,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X1,X0)
% 23.15/23.42      | c_lessequals(X2,X4,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_691]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15696,plain,
% 23.15/23.42      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.15/23.42      | c_lessequals(X1,X0,X2)
% 23.15/23.42      | c_lessequals(X1,X4,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15695]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_690,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X4,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8555_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15693,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X4,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_690]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15694,plain,
% 23.15/23.42      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.15/23.42      | c_lessequals(X1,X4,X2)
% 23.15/23.42      | c_lessequals(X1,X0,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15693]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_687,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X1,X0)
% 23.15/23.42      | c_lessequals(X3,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8554_1) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15687,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X2,X1,X0)
% 23.15/23.42      | c_lessequals(X3,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_687]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15688,plain,
% 23.15/23.42      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.15/23.42      | c_lessequals(X1,X0,X2)
% 23.15/23.42      | c_lessequals(X3,X0,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15687]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_686,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X3,X1,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8554_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15685,plain,
% 23.15/23.42      ( ~ class_Orderings_Olinorder(X0)
% 23.15/23.42      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.15/23.42      | c_lessequals(X3,X1,X0)
% 23.15/23.42      | c_lessequals(X2,X1,X0) ),
% 23.15/23.42      inference(copy,[status(esa)],[c_686]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15686,plain,
% 23.15/23.42      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.15/23.42      | c_lessequals(X3,X0,X2)
% 23.15/23.42      | c_lessequals(X1,X0,X2)
% 23.15/23.42      | ~ class_Orderings_Olinorder(X2) ),
% 23.15/23.42      inference(rewriting,[status(thm)],[c_15685]) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_681,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | ~ c_less(X1,X2,X0)
% 23.15/23.42      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.42      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.42      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8553_0) ).
% 23.15/23.42  
% 23.15/23.42  cnf(c_15675,plain,
% 23.15/23.42      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.42      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.42      | ~ c_less(X1,X2,X0)
% 23.15/23.42      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_681]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15676,plain,
% 23.15/23.43      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ c_less(X2,X3,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15675]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_676,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8552_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15665,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_676]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15666,plain,
% 23.15/23.43      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ c_less(X3,X2,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15665]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_671,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0)
% 23.15/23.43      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8551_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15655,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0)
% 23.15/23.43      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_671]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15656,plain,
% 23.15/23.43      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_less(X2,X3,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15655]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_666,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8550_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15645,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_666]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15646,plain,
% 23.15/23.43      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_less(X3,X2,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15645]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_661,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8549_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15635,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_661]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15636,plain,
% 23.15/23.43      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_lessequals(X0,X3,X2)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15635]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_656,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8548_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15625,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_656]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15626,plain,
% 23.15/23.43      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_lessequals(X3,X0,X2)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15625]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_651,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8547_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15615,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_651]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15616,plain,
% 23.15/23.43      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_lessequals(X2,X3,X1)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15615]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_646,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8546_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15605,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_646]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15606,plain,
% 23.15/23.43      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_lessequals(X3,X2,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15605]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_643,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | ~ c_less(X1,X3,X0)
% 23.15/23.43      | ~ c_less(X3,X1,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8545_2) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15599,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | ~ c_less(X1,X3,X0)
% 23.15/23.43      | ~ c_less(X3,X1,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_643]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15600,plain,
% 23.15/23.43      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_less(X0,X3,X2)
% 23.15/23.43      | ~ c_less(X3,X0,X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15599]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_641,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | ~ c_less(X2,X1,X0)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8545_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15595,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | ~ c_less(X2,X1,X0)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_641]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15596,plain,
% 23.15/23.43      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_less(X3,X0,X2)
% 23.15/23.43      | ~ c_less(X0,X3,X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15595]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_638,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.43      | ~ c_less(X2,X3,X0)
% 23.15/23.43      | ~ c_less(X3,X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8544_2) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15589,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.43      | ~ c_less(X2,X3,X0)
% 23.15/23.43      | ~ c_less(X3,X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_638]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15590,plain,
% 23.15/23.43      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_less(X2,X3,X1)
% 23.15/23.43      | ~ c_less(X3,X2,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15589]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_636,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | ~ c_less(X2,X1,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8544_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15585,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_less(X1,X2,X0)
% 23.15/23.43      | ~ c_less(X2,X1,X0)
% 23.15/23.43      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_636]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15586,plain,
% 23.15/23.43      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_less(X3,X2,X1)
% 23.15/23.43      | ~ c_less(X2,X3,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15585]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_633,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | ~ c_lessequals(X1,X3,X0)
% 23.15/23.43      | ~ c_lessequals(X3,X1,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8543_2) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15579,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | ~ c_lessequals(X1,X3,X0)
% 23.15/23.43      | ~ c_lessequals(X3,X1,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_633]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15580,plain,
% 23.15/23.43      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_lessequals(X0,X3,X2)
% 23.15/23.43      | ~ c_lessequals(X3,X0,X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15579]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_631,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | ~ c_lessequals(X2,X1,X0)
% 23.15/23.43      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8543_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15575,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | ~ c_lessequals(X2,X1,X0)
% 23.15/23.43      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_631]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15576,plain,
% 23.15/23.43      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_lessequals(X3,X0,X2)
% 23.15/23.43      | ~ c_lessequals(X0,X3,X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15575]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_628,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.43      | ~ c_lessequals(X2,X3,X0)
% 23.15/23.43      | ~ c_lessequals(X3,X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8542_2) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15569,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.43      | ~ c_lessequals(X2,X3,X0)
% 23.15/23.43      | ~ c_lessequals(X3,X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_628]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15570,plain,
% 23.15/23.43      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_lessequals(X2,X3,X1)
% 23.15/23.43      | ~ c_lessequals(X3,X2,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15569]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_626,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | ~ c_lessequals(X2,X1,X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8542_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15565,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.43      | ~ c_lessequals(X1,X2,X0)
% 23.15/23.43      | ~ c_lessequals(X2,X1,X0)
% 23.15/23.43      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_626]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15566,plain,
% 23.15/23.43      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.43      | ~ c_lessequals(X3,X2,X1)
% 23.15/23.43      | ~ c_lessequals(X2,X3,X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15565]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_607,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8539_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15527,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(X1,c_0,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_607]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15528,plain,
% 23.15/23.43      ( c_lessequals(X0,c_0,X1)
% 23.15/23.43      | ~ c_lessequals(X0,c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15527]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_593,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_0,X3,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8537_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15499,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_0,X3,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_593]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15500,plain,
% 23.15/23.43      ( c_lessequals(c_0,X0,X1)
% 23.15/23.43      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15499]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_572,plain,
% 23.15/23.43      ( ~ class_Power_Orecpower(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.43      | ~ c_less(c_1,X1,X0)
% 23.15/23.43      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 23.15/23.43      | c_less(X2,X3,tc_nat) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8531_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15457,plain,
% 23.15/23.43      ( ~ class_Power_Orecpower(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.43      | ~ c_less(c_1,X1,X0)
% 23.15/23.43      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 23.15/23.43      | c_less(X2,X3,tc_nat) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_572]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15458,plain,
% 23.15/23.43      ( ~ c_less(c_1,X0,X1)
% 23.15/23.43      | ~ c_less(c_Nat_Opower(X0,X2,X1),c_Nat_Opower(X0,X3,X1),X1)
% 23.15/23.43      | c_less(X2,X3,tc_nat)
% 23.15/23.43      | ~ class_Power_Orecpower(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15457]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_567,plain,
% 23.15/23.43      ( ~ class_Power_Orecpower(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.43      | ~ c_less(c_1,X1,X0)
% 23.15/23.43      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 23.15/23.43      | c_lessequals(X2,X3,tc_nat) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8530_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15447,plain,
% 23.15/23.43      ( ~ class_Power_Orecpower(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.43      | ~ c_less(c_1,X1,X0)
% 23.15/23.43      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 23.15/23.43      | c_lessequals(X2,X3,tc_nat) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_567]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15448,plain,
% 23.15/23.43      ( ~ c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 23.15/23.43      | c_lessequals(X1,X3,tc_nat)
% 23.15/23.43      | ~ c_less(c_1,X0,X2)
% 23.15/23.43      | ~ class_Power_Orecpower(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15447]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_564,plain,
% 23.15/23.43      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.15/23.43      | ~ c_Wellfounded__Recursion_Owf(X2,X3)
% 23.15/23.43      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8529_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15441,plain,
% 23.15/23.43      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.15/23.43      | ~ c_Wellfounded__Recursion_Owf(X2,X3)
% 23.15/23.43      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_564]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15442,plain,
% 23.15/23.43      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.15/23.43      | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 23.15/23.43      | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15441]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_561,plain,
% 23.15/23.43      ( ~ c_Relation_Otrans(X0,X1)
% 23.15/23.43      | ~ c_Relation_Otrans(X2,X3)
% 23.15/23.43      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8528_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15435,plain,
% 23.15/23.43      ( ~ c_Relation_Otrans(X0,X1)
% 23.15/23.43      | ~ c_Relation_Otrans(X2,X3)
% 23.15/23.43      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_561]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15436,plain,
% 23.15/23.43      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.15/23.43      | ~ c_Relation_Otrans(X1,X3)
% 23.15/23.43      | ~ c_Relation_Otrans(X0,X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15435]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_533,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8516_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15379,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_533]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15380,plain,
% 23.15/23.43      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15379]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_521,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8514_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15355,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_521]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15356,plain,
% 23.15/23.43      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15355]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_509,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8512_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15331,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_509]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15332,plain,
% 23.15/23.43      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | c_less(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.43      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15331]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_503,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8511_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15319,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_503]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15320,plain,
% 23.15/23.43      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.43      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15319]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_491,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8509_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15295,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_491]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15296,plain,
% 23.15/23.43      ( ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15295]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_484,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_0,X0)
% 23.15/23.43      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8508_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15281,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_0,X0)
% 23.15/23.43      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_484]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15282,plain,
% 23.15/23.43      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.43      | ~ c_less(X2,c_0,X1)
% 23.15/23.43      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15281]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_477,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_0,X0)
% 23.15/23.43      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8507_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15267,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_0,X0)
% 23.15/23.43      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_477]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15268,plain,
% 23.15/23.43      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ c_less(X3,c_0,X1)
% 23.15/23.43      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15267]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_470,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8506_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15253,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_470]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15254,plain,
% 23.15/23.43      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | ~ c_lessequals(X0,c_0,X2)
% 23.15/23.43      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15253]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_463,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8505_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15239,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.15/23.43      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_463]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15240,plain,
% 23.15/23.43      ( ~ c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | ~ c_lessequals(X1,c_0,X3)
% 23.15/23.43      | c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 23.15/23.43      | ~ class_Numeral_Onumber(X3) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15239]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_456,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_0,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8504_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15225,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_0,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_456]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15226,plain,
% 23.15/23.43      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | ~ c_less(c_0,X2,X1)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.43      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15225]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_449,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,X1,X0)
% 23.15/23.43      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8503_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15211,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_0,X1,X0)
% 23.15/23.43      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_449]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15212,plain,
% 23.15/23.43      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ c_less(c_0,X0,X2)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15211]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_442,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_0,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8502_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15197,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_lessequals(c_0,X2,X0)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_442]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15198,plain,
% 23.15/23.43      ( ~ c_lessequals(c_0,X0,X1)
% 23.15/23.43      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 23.15/23.43      | ~ c_lessequals(X2,c_times(X0,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 23.15/23.43      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15197]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_435,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8501_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15183,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_lessequals(c_0,X1,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_435]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15184,plain,
% 23.15/23.43      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | ~ c_lessequals(c_0,X0,X2)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15183]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_422,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8497_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15157,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_422]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15158,plain,
% 23.15/23.43      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15157]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_415,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8496_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15143,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.43      | c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_415]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15144,plain,
% 23.15/23.43      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15143]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_408,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8495_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15129,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_408]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15130,plain,
% 23.15/23.43      ( ~ c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 23.15/23.43      | ~ class_Numeral_Onumber(X3) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15129]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_401,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8494_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15115,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_401]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15116,plain,
% 23.15/23.43      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X3)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 23.15/23.43      | ~ class_Numeral_Onumber(X3) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15115]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_394,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8493_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15101,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_394]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15102,plain,
% 23.15/23.43      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15101]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_387,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8492_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15087,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_387]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15088,plain,
% 23.15/23.43      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.43      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.43      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.43      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15087]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_380,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8491_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15073,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      inference(copy,[status(esa)],[c_380]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15074,plain,
% 23.15/23.43      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.43      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.43      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.43      inference(rewriting,[status(thm)],[c_15073]) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_373,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.43      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8490_0) ).
% 23.15/23.43  
% 23.15/23.43  cnf(c_15059,plain,
% 23.15/23.43      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.43      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.43      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.43      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 23.15/23.43      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.43      | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_373]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15060,plain,
% 23.15/23.44      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.44      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15059]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_368,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.44      | c_less(X3,X1,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8489_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15049,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 23.15/23.44      | c_less(X3,X1,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_368]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15050,plain,
% 23.15/23.44      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.44      | c_less(X3,X2,X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15049]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_363,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.44      | c_less(X1,X3,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8488_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15039,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.15/23.44      | c_less(X1,X3,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_363]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15040,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.44      | c_less(X2,X3,X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15039]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_358,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | c_less(X3,X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8487_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15029,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | c_less(X3,X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_358]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15030,plain,
% 23.15/23.44      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.44      | c_less(X3,X2,X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15029]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_353,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | c_less(X2,X3,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8486_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15019,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | c_less(X2,X3,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_353]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15020,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.44      | ~ c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.44      | c_less(X2,X3,X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15019]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_348,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | c_lessequals(X3,X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8485_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15009,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | c_lessequals(X3,X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_348]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15010,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | c_lessequals(X3,X0,X2)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_15009]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_343,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | c_lessequals(X2,X3,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8484_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14999,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | c_lessequals(X2,X3,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_343]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_15000,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | c_lessequals(X0,X3,X2)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14999]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_338,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | c_lessequals(X3,X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8483_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14989,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | c_lessequals(X3,X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_338]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14990,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.44      | c_lessequals(X3,X2,X1)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14989]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_333,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | c_lessequals(X2,X3,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8482_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14979,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 23.15/23.44      | c_lessequals(X2,X3,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_333]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14980,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 23.15/23.44      | c_lessequals(X2,X3,X1)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14979]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_316,plain,
% 23.15/23.44      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 23.15/23.44      | c_in(X4,c_List_Oset(X0,X1),X1)
% 23.15/23.44      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) = c_Datatype_Ooption_ONone ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8475_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14945,plain,
% 23.15/23.44      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 23.15/23.44      | c_in(X4,c_List_Oset(X0,X1),X1)
% 23.15/23.44      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) = c_Datatype_Ooption_ONone ),
% 23.15/23.44      inference(copy,[status(esa)],[c_316]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14946,plain,
% 23.15/23.44      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.15/23.44      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 23.15/23.44      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14945]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_301,plain,
% 23.15/23.44      ( ~ class_Power_Orecpower(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.44      | c_Nat_Opower(c_uminus(X1,X0),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8468_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14915,plain,
% 23.15/23.44      ( ~ class_Power_Orecpower(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.44      | c_Nat_Opower(c_uminus(X1,X0),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_301]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14916,plain,
% 23.15/23.44      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.44      | ~ class_Power_Orecpower(X0)
% 23.15/23.44      | c_Nat_Opower(c_uminus(X1,X0),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14915]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_294,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_0,X0)
% 23.15/23.44      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 23.15/23.44      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8467_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14901,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_0,X0)
% 23.15/23.44      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 23.15/23.44      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_294]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14902,plain,
% 23.15/23.44      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_less(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ c_less(X0,c_0,X2)
% 23.15/23.44      | c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14901]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_287,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8466_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14887,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_lessequals(X1,c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_287]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14888,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ c_lessequals(X0,c_0,X2)
% 23.15/23.44      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14887]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_280,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_0,X2,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8465_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14873,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_0,X2,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_280]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14874,plain,
% 23.15/23.44      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_less(c_0,X0,X2)
% 23.15/23.44      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.44      | ~ c_less(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14873]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_273,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,X2,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8464_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14859,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_0,X2,X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_273]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14860,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_lessequals(c_0,X0,X2)
% 23.15/23.44      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.44      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14859]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_259,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8460_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14831,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_259]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14832,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.44      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.44      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14831]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_252,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8459_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14817,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_252]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14818,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14817]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_245,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8458_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14803,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 23.15/23.44      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_245]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14804,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.15/23.44      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 23.15/23.44      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.15/23.44      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.15/23.44      | ~ class_Numeral_Onumber(X1) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14803]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_238,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8457_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14789,plain,
% 23.15/23.44      ( ~ class_Numeral_Onumber(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 23.15/23.44      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.15/23.44      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 23.15/23.44      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_238]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14790,plain,
% 23.15/23.44      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.15/23.44      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 23.15/23.44      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.15/23.44      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.15/23.44      | ~ class_Numeral_Onumber(X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14789]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_231,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8454_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14775,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_231]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14776,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14775]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_224,plain,
% 23.15/23.44      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 23.15/23.44      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 23.15/23.44      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8451_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14761,plain,
% 23.15/23.44      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 23.15/23.44      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 23.15/23.44      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_224]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14762,plain,
% 23.15/23.44      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.15/23.44      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 23.15/23.44      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14761]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_219,plain,
% 23.15/23.44      ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 23.15/23.44      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 23.15/23.44      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8448_2) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14751,plain,
% 23.15/23.44      ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 23.15/23.44      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 23.15/23.44      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_219]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14752,plain,
% 23.15/23.44      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.15/23.44      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 23.15/23.44      | c_Pair(c_List_Onth(X1,X0,X2),c_List_Onth(X3,X0,X4),X2,X4) = c_List_Onth(c_List_Ozip(X1,X3,X2,X4),X0,tc_prod(X2,X4)) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14751]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_211,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8446_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14735,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_211]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14736,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14735]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_208,plain,
% 23.15/23.44      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8445_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14729,plain,
% 23.15/23.44      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_208]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14730,plain,
% 23.15/23.44      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14729]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_201,plain,
% 23.15/23.44      ( ~ c_in(X0,X1,X2)
% 23.15/23.44      | ~ c_in(c_Pair(X0,X3,X2,X4),X5,tc_prod(X2,X4))
% 23.15/23.44      | c_in(X3,c_Relation_OImage(X5,X1,X2,X4),X4) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8442_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14715,plain,
% 23.15/23.44      ( ~ c_in(X0,X1,X2)
% 23.15/23.44      | ~ c_in(c_Pair(X0,X3,X2,X4),X5,tc_prod(X2,X4))
% 23.15/23.44      | c_in(X3,c_Relation_OImage(X5,X1,X2,X4),X4) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_201]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14716,plain,
% 23.15/23.44      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.15/23.44      | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 23.15/23.44      | ~ c_in(X0,X5,X2) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14715]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_196,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8440_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14705,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_196]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14706,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14705]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_193,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8439_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14699,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_193]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14700,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14699]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_190,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8438_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14693,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_190]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14694,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14693]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_187,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8437_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14687,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_187]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14688,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14687]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_184,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8436_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14681,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_184]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14682,plain,
% 23.15/23.44      ( ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14681]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_179,plain,
% 23.15/23.44      ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 23.15/23.44      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 23.15/23.44      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8433_2) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14671,plain,
% 23.15/23.44      ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 23.15/23.44      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 23.15/23.44      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_179]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14672,plain,
% 23.15/23.44      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 23.15/23.44      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 23.15/23.44      | c_append(c_List_Ozip(X0,X2,X1,X3),c_List_Ozip(X4,X5,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X0,X4,X1),c_append(X2,X5,X3),X1,X3) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14671]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_144,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.15/23.44      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 23.15/23.44      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8419_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14601,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.15/23.44      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 23.15/23.44      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 23.15/23.44      inference(copy,[status(esa)],[c_144]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14602,plain,
% 23.15/23.44      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 23.15/23.44      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 23.15/23.44      | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14601]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_141,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.15/23.44      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4)
% 23.15/23.44      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8418_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14595,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.15/23.44      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4)
% 23.15/23.44      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      inference(copy,[status(esa)],[c_141]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14596,plain,
% 23.15/23.44      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 23.15/23.44      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 23.15/23.44      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14595]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_133,plain,
% 23.15/23.44      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.15/23.44      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X2))
% 23.15/23.44      | c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8415_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14579,plain,
% 23.15/23.44      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.15/23.44      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X2))
% 23.15/23.44      | c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_133]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14580,plain,
% 23.15/23.44      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.15/23.44      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.15/23.44      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14579]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_121,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8410_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14555,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      inference(copy,[status(esa)],[c_121]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14556,plain,
% 23.15/23.44      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14555]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_118,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8409_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14549,plain,
% 23.15/23.44      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.15/23.44      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 23.15/23.44      inference(copy,[status(esa)],[c_118]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14550,plain,
% 23.15/23.44      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.15/23.44      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14549]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_83,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8395_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14479,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_83]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14480,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14479]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_80,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8394_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14473,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_80]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14474,plain,
% 23.15/23.44      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14473]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_77,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8393_0) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14467,plain,
% 23.15/23.44      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(copy,[status(esa)],[c_77]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_14468,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.44      inference(rewriting,[status(thm)],[c_14467]) ).
% 23.15/23.44  
% 23.15/23.44  cnf(c_74,plain,
% 23.15/23.44      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.44      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8392_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14461,plain,
% 23.15/23.45      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.45      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.45      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_74]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14462,plain,
% 23.15/23.45      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.45      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.15/23.45      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14461]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_60,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8386_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14433,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_60]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14434,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14433]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_57,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8385_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14427,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_57]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14428,plain,
% 23.15/23.45      ( c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14427]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_48,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8381_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14409,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_48]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14410,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.15/23.45      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14409]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_43,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.15/23.45      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2))
% 23.15/23.45      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8379_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14399,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.15/23.45      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2))
% 23.15/23.45      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_43]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14400,plain,
% 23.15/23.45      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 23.15/23.45      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 23.15/23.45      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14399]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8371_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14363,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_25]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14364,plain,
% 23.15/23.45      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14363]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_18,plain,
% 23.15/23.45      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_in(c_Pair(c_Main_OdsumE__1(X1,X0,X3,X4),c_Main_OdsumE__2(X1,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8368_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14349,plain,
% 23.15/23.45      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_in(c_Pair(c_Main_OdsumE__1(X1,X0,X3,X4),c_Main_OdsumE__2(X1,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.15/23.45      inference(copy,[status(esa)],[c_18]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14350,plain,
% 23.15/23.45      ( c_in(c_Pair(c_Main_OdsumE__1(X0,X1,X2,X3),c_Main_OdsumE__2(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14349]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_15,plain,
% 23.15/23.45      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_in(c_Pair(c_Main_OdsumE__3(X2,X0,X3,X4),c_Main_OdsumE__4(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8367_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14343,plain,
% 23.15/23.45      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_in(c_Pair(c_Main_OdsumE__3(X2,X0,X3,X4),c_Main_OdsumE__4(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.15/23.45      inference(copy,[status(esa)],[c_15]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_14344,plain,
% 23.15/23.45      ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.15/23.45      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 23.15/23.45      inference(rewriting,[status(thm)],[c_14343]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_6013,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_4) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_8292,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_6013]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_8296,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_8292]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_8297,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_8296]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_8298,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_8297]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25924,negated_conjecture,
% 23.15/23.45      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_8298]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_6012,plain,
% 23.15/23.45      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2696_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25922,plain,
% 23.15/23.45      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_6012]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_6011,plain,
% 23.15/23.45      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2697_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25920,plain,
% 23.15/23.45      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_6011]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5971,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2651_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25879,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5971]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5970,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2652_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25877,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5970]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5969,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2653_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25875,plain,
% 23.15/23.45      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5969]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5968,plain,
% 23.15/23.45      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2654_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25873,plain,
% 23.15/23.45      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5968]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5967,plain,
% 23.15/23.45      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2655_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25871,plain,
% 23.15/23.45      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5967]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5966,plain,
% 23.15/23.45      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2656_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25869,plain,
% 23.15/23.45      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5966]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5963,plain,
% 23.15/23.45      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2659_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25865,plain,
% 23.15/23.45      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5963]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5962,plain,
% 23.15/23.45      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2660_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25863,plain,
% 23.15/23.45      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5962]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5948,plain,
% 23.15/23.45      ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2674_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25848,plain,
% 23.15/23.45      ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5948]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5934,plain,
% 23.15/23.45      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2688_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25833,plain,
% 23.15/23.45      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5934]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5933,plain,
% 23.15/23.45      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2689_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25831,plain,
% 23.15/23.45      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5933]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5932,plain,
% 23.15/23.45      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2690_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25829,plain,
% 23.15/23.45      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5932]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5931,plain,
% 23.15/23.45      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2691_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25827,plain,
% 23.15/23.45      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5931]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5926,plain,
% 23.15/23.45      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2698_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25821,plain,
% 23.15/23.45      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5926]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5925,plain,
% 23.15/23.45      ( c_insert(X0,X1,X2) != c_emptyset ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2699_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25819,plain,
% 23.15/23.45      ( c_insert(X0,X1,X2) != c_emptyset ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5925]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5924,plain,
% 23.15/23.45      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2700_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25817,plain,
% 23.15/23.45      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5924]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5921,plain,
% 23.15/23.45      ( c_emptyset != c_insert(X0,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2703_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25813,plain,
% 23.15/23.45      ( c_emptyset != c_insert(X0,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5921]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5891,plain,
% 23.15/23.45      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2733_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25782,plain,
% 23.15/23.45      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5891]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5878,plain,
% 23.15/23.45      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2746_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25768,plain,
% 23.15/23.45      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5878]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5877,plain,
% 23.15/23.45      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2747_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25766,plain,
% 23.15/23.45      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5877]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5875,plain,
% 23.15/23.45      ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2749_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25763,plain,
% 23.15/23.45      ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5875]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5870,plain,
% 23.15/23.45      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2754_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25757,plain,
% 23.15/23.45      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5870]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5869,plain,
% 23.15/23.45      ( c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2755_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25755,plain,
% 23.15/23.45      ( c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5869]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5868,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2756_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25753,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5868]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5854,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2770_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25738,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5854]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5853,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2771_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25736,plain,
% 23.15/23.45      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5853]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5841,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2783_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25723,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5841]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5840,plain,
% 23.15/23.45      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2784_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25721,plain,
% 23.15/23.45      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5840]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5839,plain,
% 23.15/23.45      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2785_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25719,plain,
% 23.15/23.45      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5839]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5838,plain,
% 23.15/23.45      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2786_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25717,plain,
% 23.15/23.45      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5838]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5837,plain,
% 23.15/23.45      ( c_in(X0,c_UNIV,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2787_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25715,plain,
% 23.15/23.45      ( c_in(X0,c_UNIV,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5837]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5836,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2788_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25713,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5836]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5835,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2789_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25711,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5835]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5834,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2790_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25709,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5834]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5833,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2791_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25707,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5833]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5832,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2792_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25705,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5832]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5831,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2793_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25703,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5831]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5830,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2794_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25701,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5830]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5829,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2795_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25699,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5829]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5828,plain,
% 23.15/23.45      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2796_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25697,plain,
% 23.15/23.45      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5828]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5827,plain,
% 23.15/23.45      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2797_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25695,plain,
% 23.15/23.45      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5827]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5826,plain,
% 23.15/23.45      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2798_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25693,plain,
% 23.15/23.45      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5826]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5825,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2799_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25691,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5825]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5824,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2800_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25689,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5824]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5823,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2801_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25687,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5823]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5822,plain,
% 23.15/23.45      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2802_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25685,plain,
% 23.15/23.45      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5822]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5821,plain,
% 23.15/23.45      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2803_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25683,plain,
% 23.15/23.45      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5821]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5820,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2804_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25681,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5820]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5819,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2805_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25679,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5819]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5818,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2806_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25677,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5818]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5817,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2807_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25675,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5817]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5806,plain,
% 23.15/23.45      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2818_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25663,plain,
% 23.15/23.45      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5806]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5805,plain,
% 23.15/23.45      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2819_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25661,plain,
% 23.15/23.45      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5805]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5804,plain,
% 23.15/23.45      ( ~ c_in(X0,c_emptyset,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2820_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25659,plain,
% 23.15/23.45      ( ~ c_in(X0,c_emptyset,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5804]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5774,plain,
% 23.15/23.45      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2850_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25628,plain,
% 23.15/23.45      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5774]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5760,plain,
% 23.15/23.45      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2864_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25613,plain,
% 23.15/23.45      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5760]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5759,plain,
% 23.15/23.45      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2865_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25611,plain,
% 23.15/23.45      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5759]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5755,plain,
% 23.15/23.45      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2869_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25606,plain,
% 23.15/23.45      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5755]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5732,plain,
% 23.15/23.45      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2892_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25582,plain,
% 23.15/23.45      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5732]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5718,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2906_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25567,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5718]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5708,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2916_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25556,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5708]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5701,plain,
% 23.15/23.45      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2923_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25548,plain,
% 23.15/23.45      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5701]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5700,plain,
% 23.15/23.45      ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2924_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25546,plain,
% 23.15/23.45      ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5700]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5685,plain,
% 23.15/23.45      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2939_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25530,plain,
% 23.15/23.45      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5685]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5680,plain,
% 23.15/23.45      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2944_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25524,plain,
% 23.15/23.45      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5680]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5679,plain,
% 23.15/23.45      ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2945_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25522,plain,
% 23.15/23.45      ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5679]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5677,plain,
% 23.15/23.45      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2947_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25519,plain,
% 23.15/23.45      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5677]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5675,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2949_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25516,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5675]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5674,plain,
% 23.15/23.45      ( class_Orderings_Oorder(tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2950_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25514,plain,
% 23.15/23.45      ( class_Orderings_Oorder(tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5674]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5673,plain,
% 23.15/23.45      ( class_Orderings_Oord(tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2951_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25512,plain,
% 23.15/23.45      ( class_Orderings_Oord(tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5673]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5672,plain,
% 23.15/23.45      ( class_HOL_Ominus(tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2952_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25510,plain,
% 23.15/23.45      ( class_HOL_Ominus(tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5672]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5671,plain,
% 23.15/23.45      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2953_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25508,plain,
% 23.15/23.45      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5671]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5670,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2954_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25506,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5670]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5669,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2955_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25504,plain,
% 23.15/23.45      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5669]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5668,plain,
% 23.15/23.45      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2956_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25502,plain,
% 23.15/23.45      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5668]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5667,plain,
% 23.15/23.45      ( ~ c_less(X0,X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2957_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25500,plain,
% 23.15/23.45      ( ~ c_less(X0,X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5667]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5666,plain,
% 23.15/23.45      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2958_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25498,plain,
% 23.15/23.45      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5666]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5665,plain,
% 23.15/23.45      ( c_lessequals(c_0,X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2959_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25496,plain,
% 23.15/23.45      ( c_lessequals(c_0,X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5665]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5664,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2960_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25494,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5664]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5663,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2961_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25492,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5663]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5662,plain,
% 23.15/23.45      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2962_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25490,plain,
% 23.15/23.45      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5662]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5661,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2963_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25488,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5661]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5660,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2964_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25486,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5660]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5657,plain,
% 23.15/23.45      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2967_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25482,plain,
% 23.15/23.45      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5657]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5638,plain,
% 23.15/23.45      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_2986_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25462,plain,
% 23.15/23.45      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5638]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5622,plain,
% 23.15/23.45      ( ~ c_less(X0,c_0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3002_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25445,plain,
% 23.15/23.45      ( ~ c_less(X0,c_0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5622]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5613,plain,
% 23.15/23.45      ( c_0 != c_Suc(X0) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3011_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25435,plain,
% 23.15/23.45      ( c_0 != c_Suc(X0) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5613]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5612,plain,
% 23.15/23.45      ( c_Suc(X0) != c_0 ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3012_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25433,plain,
% 23.15/23.45      ( c_Suc(X0) != c_0 ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5612]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5596,plain,
% 23.15/23.45      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3028_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25416,plain,
% 23.15/23.45      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5596]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5593,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3031_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25412,plain,
% 23.15/23.45      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5593]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5591,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3033_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25409,plain,
% 23.15/23.45      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5591]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5581,plain,
% 23.15/23.45      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3043_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25398,plain,
% 23.15/23.45      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5581]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5580,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3044_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25396,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5580]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5572,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3052_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25387,plain,
% 23.15/23.45      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5572]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5571,plain,
% 23.15/23.45      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3053_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25385,plain,
% 23.15/23.45      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5571]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5570,plain,
% 23.15/23.45      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3054_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25383,plain,
% 23.15/23.45      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5570]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5569,plain,
% 23.15/23.45      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3055_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25381,plain,
% 23.15/23.45      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5569]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5566,plain,
% 23.15/23.45      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3058_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25377,plain,
% 23.15/23.45      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5566]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5553,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3071_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25363,plain,
% 23.15/23.45      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5553]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5540,plain,
% 23.15/23.45      ( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3084_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25349,plain,
% 23.15/23.45      ( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5540]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5538,plain,
% 23.15/23.45      ( class_HOL_Ominus(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3086_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25346,plain,
% 23.15/23.45      ( class_HOL_Ominus(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5538]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5537,plain,
% 23.15/23.45      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3087_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25344,plain,
% 23.15/23.45      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5537]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5536,plain,
% 23.15/23.45      ( class_Orderings_Olinorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3088_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25342,plain,
% 23.15/23.45      ( class_Orderings_Olinorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5536]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5535,plain,
% 23.15/23.45      ( class_LOrder_Olorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3089_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25340,plain,
% 23.15/23.45      ( class_LOrder_Olorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5535]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5534,plain,
% 23.15/23.45      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3090_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25338,plain,
% 23.15/23.45      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5534]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5533,plain,
% 23.15/23.45      ( class_Parity_Oeven__odd(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3091_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25336,plain,
% 23.15/23.45      ( class_Parity_Oeven__odd(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5533]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5532,plain,
% 23.15/23.45      ( class_Numeral_Onumber(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3092_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25334,plain,
% 23.15/23.45      ( class_Numeral_Onumber(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5532]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5531,plain,
% 23.15/23.45      ( class_Power_Orecpower(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3093_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25332,plain,
% 23.15/23.45      ( class_Power_Orecpower(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5531]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5530,plain,
% 23.15/23.45      ( class_Divides_Odiv(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3094_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25330,plain,
% 23.15/23.45      ( class_Divides_Odiv(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5530]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5529,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3095_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25328,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5529]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5528,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3096_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25326,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5528]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5527,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3097_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25324,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5527]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5526,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3098_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25322,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5526]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5525,plain,
% 23.15/23.45      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3099_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25320,plain,
% 23.15/23.45      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5525]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5524,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3100_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25318,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5524]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5523,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3101_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25316,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5523]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5522,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3102_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25314,plain,
% 23.15/23.45      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5522]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5521,plain,
% 23.15/23.45      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3103_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25312,plain,
% 23.15/23.45      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5521]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5520,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3104_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25310,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5520]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5519,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3105_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25308,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5519]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5518,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3106_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25306,plain,
% 23.15/23.45      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5518]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5517,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3107_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25304,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5517]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5516,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3108_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25302,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5516]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5515,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3109_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25300,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5515]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5514,plain,
% 23.15/23.45      ( class_Orderings_Oorder(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3110_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25298,plain,
% 23.15/23.45      ( class_Orderings_Oorder(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5514]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5513,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3111_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25296,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5513]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5512,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3112_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25294,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5512]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5511,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3113_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25292,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5511]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5510,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3114_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25290,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5510]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5509,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3115_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25288,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5509]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5508,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3116_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25286,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5508]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5507,plain,
% 23.15/23.45      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3117_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25284,plain,
% 23.15/23.45      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5507]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5506,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3118_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25282,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5506]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5505,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3119_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25280,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5505]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5504,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3120_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25278,plain,
% 23.15/23.45      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5504]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5503,plain,
% 23.15/23.45      ( class_Orderings_Oord(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3121_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25276,plain,
% 23.15/23.45      ( class_Orderings_Oord(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5503]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5502,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3122_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25274,plain,
% 23.15/23.45      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5502]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5501,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3123_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25272,plain,
% 23.15/23.45      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5501]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5500,plain,
% 23.15/23.45      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3124_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25270,plain,
% 23.15/23.45      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5500]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5499,plain,
% 23.15/23.45      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3125_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25268,plain,
% 23.15/23.45      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5499]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5498,plain,
% 23.15/23.45      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3126_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25266,plain,
% 23.15/23.45      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5498]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5497,plain,
% 23.15/23.45      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3127_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25264,plain,
% 23.15/23.45      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5497]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5496,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3128_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25262,plain,
% 23.15/23.45      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5496]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5495,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3129_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25260,plain,
% 23.15/23.45      ( class_Nat_Opower(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5495]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5494,plain,
% 23.15/23.45      ( class_HOL_Otimes(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3130_0) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_25258,plain,
% 23.15/23.45      ( class_HOL_Otimes(tc_nat) ),
% 23.15/23.45      inference(copy,[status(esa)],[c_5494]) ).
% 23.15/23.45  
% 23.15/23.45  cnf(c_5493,plain,
% 23.15/23.45      ( class_HOL_Oplus(tc_nat) ),
% 23.15/23.45      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3131_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25256,plain,
% 23.15/23.46      ( class_HOL_Oplus(tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5493]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5492,plain,
% 23.15/23.46      ( class_HOL_Ozero(tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3132_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25254,plain,
% 23.15/23.46      ( class_HOL_Ozero(tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5492]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5491,plain,
% 23.15/23.46      ( class_HOL_Oone(tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3133_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25252,plain,
% 23.15/23.46      ( class_HOL_Oone(tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5491]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5490,plain,
% 23.15/23.46      ( class_Finite__Set_Ofinite(tc_bool) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3134_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25250,plain,
% 23.15/23.46      ( class_Finite__Set_Ofinite(tc_bool) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5490]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5489,plain,
% 23.15/23.46      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3135_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25248,plain,
% 23.15/23.46      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5489]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5488,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3136_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25246,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5488]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5487,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3137_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25244,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5487]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5486,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3138_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25242,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5486]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5485,plain,
% 23.15/23.46      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3139_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25240,plain,
% 23.15/23.46      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5485]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5484,plain,
% 23.15/23.46      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3140_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25238,plain,
% 23.15/23.46      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5484]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5483,plain,
% 23.15/23.46      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3141_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25236,plain,
% 23.15/23.46      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5483]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5482,plain,
% 23.15/23.46      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3142_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25234,plain,
% 23.15/23.46      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5482]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5481,plain,
% 23.15/23.46      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3143_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25232,plain,
% 23.15/23.46      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5481]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5480,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3144_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25230,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5480]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5479,plain,
% 23.15/23.46      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3145_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25228,plain,
% 23.15/23.46      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5479]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5478,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3146_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25226,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5478]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5477,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3147_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25224,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5477]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5476,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3148_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25222,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5476]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5475,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3149_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25220,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5475]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5474,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3150_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25218,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5474]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5473,plain,
% 23.15/23.46      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3151_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25216,plain,
% 23.15/23.46      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5473]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5472,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3152_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25214,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5472]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5471,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3153_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25212,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5471]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5470,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3154_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25210,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5470]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5469,plain,
% 23.15/23.46      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3155_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25208,plain,
% 23.15/23.46      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5469]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5468,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3156_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25206,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5468]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5467,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3157_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25204,plain,
% 23.15/23.46      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5467]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5466,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3158_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25202,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5466]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5465,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3159_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25200,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5465]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5464,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3160_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25198,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5464]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5463,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3161_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25196,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5463]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5462,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3162_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25194,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5462]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5461,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3163_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25192,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5461]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5460,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3164_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25190,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5460]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5459,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3165_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25188,plain,
% 23.15/23.46      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5459]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5458,plain,
% 23.15/23.46      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3166_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25186,plain,
% 23.15/23.46      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5458]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5457,plain,
% 23.15/23.46      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3167_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25184,plain,
% 23.15/23.46      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5457]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5456,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3168_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25182,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5456]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5455,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3169_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25180,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5455]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5454,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3170_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25178,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5454]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5453,plain,
% 23.15/23.46      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3171_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25176,plain,
% 23.15/23.46      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5453]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5452,plain,
% 23.15/23.46      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3172_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25174,plain,
% 23.15/23.46      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5452]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5451,plain,
% 23.15/23.46      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3173_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25172,plain,
% 23.15/23.46      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5451]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5450,plain,
% 23.15/23.46      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3174_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25170,plain,
% 23.15/23.46      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5450]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5449,plain,
% 23.15/23.46      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3175_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25168,plain,
% 23.15/23.46      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5449]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5448,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3176_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25166,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5448]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5447,plain,
% 23.15/23.46      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3177_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25164,plain,
% 23.15/23.46      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5447]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5446,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3178_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25162,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5446]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5445,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3179_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25160,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5445]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5444,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3180_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25158,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5444]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5443,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3181_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25156,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5443]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5442,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3182_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25154,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5442]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5441,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3183_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25152,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5441]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5440,plain,
% 23.15/23.46      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3184_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25150,plain,
% 23.15/23.46      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5440]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5439,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3185_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25148,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5439]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5438,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3186_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25146,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5438]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5437,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3187_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25144,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5437]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5436,plain,
% 23.15/23.46      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3188_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25142,plain,
% 23.15/23.46      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5436]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5435,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3189_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25140,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5435]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5434,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3190_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25138,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5434]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5433,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3191_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25136,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5433]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5432,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3192_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25134,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5432]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5431,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3193_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25132,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5431]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5430,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3194_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25130,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5430]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5429,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3195_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25128,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5429]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5428,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3196_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25126,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5428]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5427,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3197_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25124,plain,
% 23.15/23.46      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5427]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5426,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3198_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25122,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5426]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5425,plain,
% 23.15/23.46      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3199_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25120,plain,
% 23.15/23.46      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5425]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5424,plain,
% 23.15/23.46      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3200_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25118,plain,
% 23.15/23.46      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5424]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5423,plain,
% 23.15/23.46      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3201_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25116,plain,
% 23.15/23.46      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5423]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5422,plain,
% 23.15/23.46      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3202_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25114,plain,
% 23.15/23.46      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5422]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5421,plain,
% 23.15/23.46      ( c_UNIV != c_emptyset ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3203_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25112,plain,
% 23.15/23.46      ( c_UNIV != c_emptyset ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5421]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5417,plain,
% 23.15/23.46      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3207_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25107,plain,
% 23.15/23.46      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5417]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5416,plain,
% 23.15/23.46      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3208_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25105,plain,
% 23.15/23.46      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5416]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5415,plain,
% 23.15/23.46      ( c_Parity_Oeven(c_0,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3209_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25103,plain,
% 23.15/23.46      ( c_Parity_Oeven(c_0,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5415]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5412,plain,
% 23.15/23.46      ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3212_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25099,plain,
% 23.15/23.46      ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5412]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5411,plain,
% 23.15/23.46      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3213_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25097,plain,
% 23.15/23.46      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5411]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5401,plain,
% 23.15/23.46      ( ~ c_less(c_0,c_0,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3223_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25086,plain,
% 23.15/23.46      ( ~ c_less(c_0,c_0,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5401]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5399,plain,
% 23.15/23.46      ( c_less(c_0,c_1,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3225_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25083,plain,
% 23.15/23.46      ( c_less(c_0,c_1,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5399]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5398,plain,
% 23.15/23.46      ( c_less(c_0,c_Suc(c_0),tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3226_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25081,plain,
% 23.15/23.46      ( c_less(c_0,c_Suc(c_0),tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5398]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5397,plain,
% 23.15/23.46      ( c_lessequals(c_0,c_0,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3227_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25079,plain,
% 23.15/23.46      ( c_lessequals(c_0,c_0,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5397]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5376,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3248_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25057,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5376]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5373,plain,
% 23.15/23.46      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3251_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25053,plain,
% 23.15/23.46      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5373]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5370,plain,
% 23.15/23.46      ( c_0 != c_1 ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3254_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25049,plain,( c_0 != c_1 ),inference(copy,[status(esa)],[c_5370]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5369,plain,
% 23.15/23.46      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3255_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25047,plain,
% 23.15/23.46      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5369]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5367,plain,
% 23.15/23.46      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3257_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25044,plain,
% 23.15/23.46      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5367]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5364,plain,
% 23.15/23.46      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3260_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25040,plain,
% 23.15/23.46      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5364]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5363,plain,
% 23.15/23.46      ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3261_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25038,plain,
% 23.15/23.46      ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5363]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5362,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3262_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25036,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5362]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5361,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_3263_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25034,plain,
% 23.15/23.46      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5361]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5356,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | c_1 != c_0 ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10448_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25025,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | c_1 != c_0 ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5356]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5354,plain,
% 23.15/23.46      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10447_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25021,plain,
% 23.15/23.46      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5354]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5352,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Olinorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10446_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25017,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Olinorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5352]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25018,plain,
% 23.15/23.46      ( class_Orderings_Olinorder(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_25017]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5350,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Olorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10445_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25013,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Olorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5350]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25014,plain,
% 23.15/23.46      ( class_LOrder_Olorder(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_25013]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5348,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10444_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25009,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5348]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25010,plain,
% 23.15/23.46      ( class_LOrder_Ojoin__semilorder(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_25009]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5346,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10443_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25005,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5346]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25006,plain,
% 23.15/23.46      ( class_LOrder_Omeet__semilorder(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_25005]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5344,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10442_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25001,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5344]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_25002,plain,
% 23.15/23.46      ( class_Orderings_Oorder(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_25001]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5342,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10441_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24997,plain,
% 23.15/23.46      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5342]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24998,plain,
% 23.15/23.46      ( class_Orderings_Oord(X0)
% 23.15/23.46      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24997]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5340,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10440_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24993,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5340]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24994,plain,
% 23.15/23.46      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24993]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5338,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10439_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24989,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5338]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24990,plain,
% 23.15/23.46      ( class_HOL_Oplus(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24989]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5336,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10438_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24985,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5336]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24986,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24985]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5334,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10437_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24981,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5334]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24982,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24981]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5332,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10436_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24977,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5332]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5330,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10435_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24973,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5330]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24974,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24973]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5328,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10434_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24969,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5328]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24970,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24969]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5326,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10433_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24965,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5326]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24966,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24965]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5324,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10432_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24961,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5324]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24962,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24961]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5322,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10431_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24957,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5322]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24958,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24957]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5320,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10430_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24953,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5320]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24954,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24953]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5318,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10429_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24949,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5318]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5316,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10428_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24945,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5316]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5314,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Oone(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10427_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24941,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_HOL_Oone(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5314]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24942,plain,
% 23.15/23.46      ( class_HOL_Oone(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24941]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5312,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10426_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24937,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5312]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24938,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24937]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5310,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10425_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24933,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5310]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24934,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24933]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5308,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10424_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24929,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5308]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24930,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24929]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5306,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10423_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24925,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5306]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24926,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24925]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5304,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10422_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24921,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5304]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24922,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24921]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5302,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10421_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24917,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5302]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5300,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10420_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24913,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5300]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5298,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10419_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24909,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5298]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24910,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24909]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5296,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10418_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24905,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5296]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24906,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24905]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5294,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oone(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10417_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24901,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oone(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5294]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24902,plain,
% 23.15/23.46      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24901]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5292,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10416_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24897,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5292]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24898,plain,
% 23.15/23.46      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24897]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5290,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10415_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24893,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5290]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24894,plain,
% 23.15/23.46      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24893]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5288,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10414_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24889,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5288]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5286,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10413_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24885,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5286]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24886,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24885]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5284,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10412_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24881,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5284]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5282,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10411_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24877,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5282]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5280,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10410_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24873,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5280]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5278,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10409_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24869,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5278]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5276,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10408_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24865,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5276]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5274,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10407_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24861,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5274]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24862,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24861]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5272,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10406_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24857,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5272]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5270,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10405_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24853,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5270]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5268,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10404_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24849,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5268]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24850,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24849]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5266,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10403_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24845,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5266]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24846,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24845]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5264,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10402_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24841,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5264]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5262,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10401_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24837,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5262]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5260,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10400_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24833,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5260]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24834,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24833]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5258,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10399_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24829,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5258]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5256,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10398_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24825,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5256]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5254,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10397_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24821,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5254]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24822,plain,
% 23.15/23.46      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24821]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5252,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10396_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24817,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5252]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24818,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24817]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5250,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10395_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24813,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5250]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5248,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10394_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24809,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5248]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24810,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24809]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5246,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10393_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24805,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5246]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5244,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10392_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24801,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5244]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5242,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10391_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24797,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5242]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5240,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10390_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24793,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5240]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5238,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10389_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24789,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5238]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5236,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10388_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24785,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5236]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5234,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10387_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24781,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5234]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5232,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10386_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24777,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5232]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24778,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24777]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5230,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10385_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24773,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5230]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24774,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24773]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5228,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10384_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24769,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5228]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24770,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24769]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5226,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10383_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24765,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5226]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24766,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24765]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5224,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10382_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24761,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5224]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24762,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24761]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5222,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10381_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24757,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5222]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24758,plain,
% 23.15/23.46      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24757]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5220,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10380_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24753,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5220]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24754,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24753]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5218,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oone(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10379_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24749,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oone(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5218]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24750,plain,
% 23.15/23.46      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24749]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5216,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10378_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24745,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5216]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24746,plain,
% 23.15/23.46      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24745]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5214,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10377_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24741,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5214]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24742,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24741]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5212,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10376_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24737,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5212]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24738,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__1(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24737]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5210,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10375_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24733,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5210]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5208,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10374_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24729,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5208]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24730,plain,
% 23.15/23.46      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24729]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5206,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10373_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24725,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5206]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24726,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24725]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5204,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10372_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24721,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5204]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24722,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24721]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5202,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10371_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24717,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5202]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24718,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24717]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5200,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10370_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24713,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5200]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24714,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__group__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24713]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5198,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10369_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24709,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring__1(X0)
% 23.15/23.46      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5198]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24710,plain,
% 23.15/23.46      ( class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24709]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5196,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10368_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24705,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5196]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5194,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10367_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24701,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5194]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5192,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10366_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24697,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5192]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5190,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10365_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24693,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5190]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5188,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10364_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24689,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5188]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5186,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10363_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24685,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5186]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5184,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10362_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24681,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5184]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5182,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10361_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24677,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5182]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5180,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10360_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24673,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5180]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5178,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10359_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24669,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5178]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5176,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10358_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24665,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5176]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5174,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10357_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24661,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5174]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5172,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10356_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24657,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5172]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5170,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10355_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24653,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Oring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5170]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5168,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10354_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24649,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5168]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24650,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24649]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5166,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10353_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24645,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Ozero(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5166]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24646,plain,
% 23.15/23.46      ( class_HOL_Ozero(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24645]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5164,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10352_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24641,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Oplus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5164]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24642,plain,
% 23.15/23.46      ( class_HOL_Oplus(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24641]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5162,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10351_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24637,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5162]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24638,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24637]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5160,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10350_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24633,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5160]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24634,plain,
% 23.15/23.46      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24633]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5158,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10349_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24629,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5158]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24630,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24629]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5156,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10348_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24625,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5156]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24626,plain,
% 23.15/23.46      ( class_HOL_Otimes(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24625]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5154,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10347_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24621,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5154]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24622,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24621]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5152,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10346_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24617,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5152]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24618,plain,
% 23.15/23.46      ( class_Orderings_Oord(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24617]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5150,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10345_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24613,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5150]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24614,plain,
% 23.15/23.46      ( class_Orderings_Oorder(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24613]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5148,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10344_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24609,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5148]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24610,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24609]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5146,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10343_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24605,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5146]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24606,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24605]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5144,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10342_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24601,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5144]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24602,plain,
% 23.15/23.46      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24601]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5142,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10341_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24597,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5142]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24598,plain,
% 23.15/23.46      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24597]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5140,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10340_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24593,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5140]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24594,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24593]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5138,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10339_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24589,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5138]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24590,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24589]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5136,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10338_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24585,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5136]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24586,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24585]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5134,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10337_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24581,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5134]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24582,plain,
% 23.15/23.46      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24581]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5132,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10336_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24577,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5132]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24578,plain,
% 23.15/23.46      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24577]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5130,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10335_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24573,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5130]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5128,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10334_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24569,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5128]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24570,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24569]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5126,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10333_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24565,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5126]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24566,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24565]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5124,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10332_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24561,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5124]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24562,plain,
% 23.15/23.46      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24561]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5122,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10331_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24557,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5122]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24558,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24557]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5120,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10330_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24553,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Orderings_Oord(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5120]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24554,plain,
% 23.15/23.46      ( class_Orderings_Oord(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24553]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5118,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10329_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24549,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Orderings_Oorder(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5118]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24550,plain,
% 23.15/23.46      ( class_Orderings_Oorder(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24549]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5116,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10328_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24545,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5116]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24546,plain,
% 23.15/23.46      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.46      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.46      inference(rewriting,[status(thm)],[c_24545]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5114,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10327_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24541,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.46      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.46      inference(copy,[status(esa)],[c_5114]) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_5112,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.46      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10326_0) ).
% 23.15/23.46  
% 23.15/23.46  cnf(c_24537,plain,
% 23.15/23.46      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5112]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24538,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24537]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5110,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10325_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24533,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5110]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24534,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24533]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5108,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10324_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24529,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5108]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24530,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24529]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5106,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10323_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24525,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5106]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24526,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24525]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5104,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10322_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24521,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5104]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24522,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24521]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5102,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10321_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24517,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5102]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24518,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__group__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24517]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5100,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10320_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24513,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5100]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24514,plain,
% 23.15/23.47      ( class_Ring__and__Field_Oring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24513]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5098,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10319_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24509,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5098]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24510,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24509]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5096,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10318_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24505,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5096]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24506,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24505]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5094,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10317_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24501,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5094]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24502,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24501]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5092,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10316_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24497,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5092]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24498,plain,
% 23.15/23.47      ( class_HOL_Otimes(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24497]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5090,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10315_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24493,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5090]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24494,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24493]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5088,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10314_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24489,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5088]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24490,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24489]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5086,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10313_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24485,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5086]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24486,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24485]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5084,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10312_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24481,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5084]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24482,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24481]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5082,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10311_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24477,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5082]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24478,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24477]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5080,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10310_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24473,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5080]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24474,plain,
% 23.15/23.47      ( class_Orderings_Oord(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24473]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5078,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10309_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24469,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5078]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24470,plain,
% 23.15/23.47      ( class_Orderings_Oorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24469]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5076,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10308_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24465,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5076]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24466,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24465]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5074,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10307_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24461,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5074]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24462,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24461]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5072,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10306_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24457,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5072]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24458,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24457]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5070,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10305_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24453,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5070]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24454,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24453]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5068,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10304_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24449,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5068]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24450,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24449]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5066,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10303_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24445,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5066]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24446,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24445]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5064,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10302_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24441,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5064]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24442,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24441]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5062,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10301_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24437,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5062]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24438,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24437]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5060,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10300_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24433,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5060]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24434,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24433]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5058,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10299_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24429,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5058]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24430,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24429]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5056,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10298_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24425,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5056]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24426,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24425]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5054,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Ominus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10297_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24421,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Ominus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5054]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24422,plain,
% 23.15/23.47      ( class_HOL_Ominus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24421]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5052,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10296_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24417,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5052]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24418,plain,
% 23.15/23.47      ( class_Orderings_Oord(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24417]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5050,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10295_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24413,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5050]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24414,plain,
% 23.15/23.47      ( class_Orderings_Oorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24413]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5048,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10294_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24409,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5048]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24410,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24409]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5046,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10293_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24405,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5046]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24406,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24405]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5044,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10292_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24401,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5044]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24402,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24401]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5042,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10291_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24397,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5042]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24398,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__group__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24397]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5040,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10290_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24393,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5040]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24394,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24393]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5038,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10289_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24389,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5038]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24390,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24389]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5036,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10288_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24385,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5036]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24386,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24385]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5034,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10287_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24381,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5034]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24382,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24381]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5032,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10286_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24377,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5032]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24378,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24377]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5030,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10285_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24373,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5030]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24374,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24373]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5028,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10284_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24369,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5028]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24370,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24369]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5026,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10283_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24365,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5026]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24366,plain,
% 23.15/23.47      ( class_HOL_Otimes(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24365]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5024,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10282_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24361,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5024]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24362,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24361]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5022,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10281_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24357,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5022]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24358,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24357]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5020,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10280_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24353,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5020]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24354,plain,
% 23.15/23.47      ( class_Ring__and__Field_Oring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24353]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5018,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10279_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24349,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5018]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24350,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__ring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24349]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5016,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10278_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24345,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5016]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24346,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24345]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5014,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10277_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24341,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5014]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24342,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24341]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5012,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10276_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24337,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5012]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24338,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24337]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5010,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10275_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24333,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5010]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24334,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24333]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5008,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10274_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24329,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5008]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24330,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24329]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5006,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10273_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24325,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5006]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24326,plain,
% 23.15/23.47      ( class_HOL_Otimes(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24325]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5004,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10272_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24321,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5004]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24322,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24321]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5002,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10271_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24317,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5002]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24318,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24317]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_5000,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10270_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24313,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_5000]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24314,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24313]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4998,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10269_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24309,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4998]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24310,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24309]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4996,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10268_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24305,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4996]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24306,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24305]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4994,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10267_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24301,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4994]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24302,plain,
% 23.15/23.47      ( class_Orderings_Oord(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24301]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4992,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10266_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24297,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4992]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24298,plain,
% 23.15/23.47      ( class_Orderings_Oorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24297]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4990,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10265_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24293,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4990]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24294,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24293]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4988,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10264_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24289,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4988]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24290,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24289]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4986,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10263_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24285,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4986]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4984,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10262_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24281,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4984]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24282,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24281]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4982,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10261_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24277,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4982]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24278,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24277]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4980,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10260_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24273,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4980]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24274,plain,
% 23.15/23.47      ( class_HOL_Otimes(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24273]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4978,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10259_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24269,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4978]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24270,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24269]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4976,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10258_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24265,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4976]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24266,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24265]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4974,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10257_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24261,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4974]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24262,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24261]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4972,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10256_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24257,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4972]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24258,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24257]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4970,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10255_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24253,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4970]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24254,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24253]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4968,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10254_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24249,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4968]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24250,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24249]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4966,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10253_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24245,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4966]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24246,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24245]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4964,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10252_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24241,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4964]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24242,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24241]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4962,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10251_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24237,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4962]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24238,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24237]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4960,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10250_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24233,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4960]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24234,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24233]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4958,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10249_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24229,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4958]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24230,plain,
% 23.15/23.47      ( class_Orderings_Oord(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24229]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4956,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10248_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24225,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4956]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24226,plain,
% 23.15/23.47      ( class_Orderings_Oorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24225]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4954,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10247_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24221,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4954]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24222,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24221]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4952,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10246_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24217,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4952]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24218,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24217]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4950,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10245_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24213,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4950]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24214,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24213]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4948,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10244_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24209,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4948]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24210,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24209]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4946,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10243_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24205,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4946]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24206,plain,
% 23.15/23.47      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24205]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4944,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10242_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24201,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4944]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4942,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10241_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24197,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4942]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24198,plain,
% 23.15/23.47      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24197]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4940,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10240_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24193,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4940]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24194,plain,
% 23.15/23.47      ( class_HOL_Ozero(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24193]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4938,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10239_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24189,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4938]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24190,plain,
% 23.15/23.47      ( class_HOL_Oplus(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24189]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4936,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10238_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24185,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4936]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24186,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24185]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4934,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10237_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24181,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4934]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24182,plain,
% 23.15/23.47      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24181]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4932,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10236_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24177,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4932]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24178,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24177]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4930,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10235_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24173,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4930]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24174,plain,
% 23.15/23.47      ( class_HOL_Otimes(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24173]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4928,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10234_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24169,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4928]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24170,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24169]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4926,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10233_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24165,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4926]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24166,plain,
% 23.15/23.47      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24165]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4924,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10232_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24161,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4924]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24162,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24161]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4922,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10231_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24157,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4922]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24158,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24157]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4920,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10230_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24153,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4920]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24154,plain,
% 23.15/23.47      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24153]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4918,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10229_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24149,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4918]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24150,plain,
% 23.15/23.47      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24149]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4916,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10228_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24145,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4916]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24146,plain,
% 23.15/23.47      ( class_Orderings_Oord(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24145]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4914,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10227_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24141,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4914]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24142,plain,
% 23.15/23.47      ( class_Orderings_Oorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24141]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4912,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10226_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24137,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4912]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24138,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24137]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4910,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10225_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24133,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4910]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24134,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24133]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4908,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10224_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24129,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4908]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24130,plain,
% 23.15/23.47      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24129]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4906,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10223_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24125,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4906]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24126,plain,
% 23.15/23.47      ( class_LOrder_Omeet__semilorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24125]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4904,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10222_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24121,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4904]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24122,plain,
% 23.15/23.47      ( class_LOrder_Ojoin__semilorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24121]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4902,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Olorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10221_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24117,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_LOrder_Olorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4902]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24118,plain,
% 23.15/23.47      ( class_LOrder_Olorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24117]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4900,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Olinorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10220_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24113,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Orderings_Olinorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4900]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24114,plain,
% 23.15/23.47      ( class_Orderings_Olinorder(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24113]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4898,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10219_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24109,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4898]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24110,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24109]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4896,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10218_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24105,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4896]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24106,plain,
% 23.15/23.47      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.47      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(rewriting,[status(thm)],[c_24105]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4894,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10217_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24101,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4894]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4892,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10216_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24097,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4892]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4890,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oone(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10215_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24093,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oone(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4890]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4888,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10214_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24089,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4888]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4886,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10213_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24085,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4886]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4884,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10212_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24081,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4884]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4882,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10211_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24077,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4882]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4880,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10210_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24073,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4880]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4878,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10209_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24069,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4878]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4876,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10208_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24065,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4876]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4874,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10207_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24061,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4874]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4872,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10206_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24057,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4872]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4870,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10205_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24053,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4870]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4868,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10204_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24049,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4868]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4866,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10203_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24045,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4866]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4864,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10202_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24041,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4864]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4862,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10201_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24037,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4862]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4860,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10200_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24033,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4860]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4858,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Olorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10199_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24029,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_LOrder_Olorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4858]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4856,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Olinorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10198_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24025,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Orderings_Olinorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4856]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4854,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10197_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24021,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4854]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4852,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10196_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24017,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4852]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4850,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10195_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24013,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4850]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4848,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10194_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24009,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4848]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4846,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10193_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24005,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4846]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4844,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10192_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_24001,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4844]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4842,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10191_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23997,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4842]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4840,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10190_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23993,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4840]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4838,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10189_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23989,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4838]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4836,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10188_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23985,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4836]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4834,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10187_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23981,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4834]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4832,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10186_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23977,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4832]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4830,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10185_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23973,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4830]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4828,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10184_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23969,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4828]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4826,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10183_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23965,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4826]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4824,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10182_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23961,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4824]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4822,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10181_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23957,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4822]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4820,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10180_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23953,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4820]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4818,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10179_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23949,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4818]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4816,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10178_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23945,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.47      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4816]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4814,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10177_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23941,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_HOL_Otimes(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4814]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4812,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10176_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23937,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4812]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4810,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10175_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23933,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4810]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4808,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10174_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23929,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4808]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4806,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10173_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23925,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4806]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4804,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10172_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23921,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4804]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4802,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10171_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23917,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4802]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4800,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10170_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23913,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4800]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4798,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10169_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23909,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4798]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4796,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10168_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23905,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4796]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4794,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10167_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23901,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4794]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4792,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10166_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23897,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4792]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4790,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10165_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23893,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4790]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4788,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10164_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23889,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4788]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4786,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10163_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23885,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4786]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4784,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10162_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23881,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4784]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4782,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10161_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23877,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Orderings_Oord(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4782]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4780,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10160_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23873,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Orderings_Oorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4780]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4778,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10159_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23869,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4778]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4776,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10158_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23865,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4776]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4774,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10157_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23861,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4774]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4772,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10156_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23857,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4772]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4770,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10155_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23853,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4770]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4768,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10154_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23849,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4768]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4766,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_HOL_Ominus(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10153_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23845,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_HOL_Ominus(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4766]) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_4764,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10152_0) ).
% 23.15/23.47  
% 23.15/23.47  cnf(c_23841,plain,
% 23.15/23.47      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.47      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.47      inference(copy,[status(esa)],[c_4764]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4762,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10151_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23837,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4762]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4760,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10150_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23833,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4760]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4758,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10149_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23829,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4758]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4756,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10148_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23825,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4756]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4754,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_HOL_Ozero(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10147_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23821,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_HOL_Ozero(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4754]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4752,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10146_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23817,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4752]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4750,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10145_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23813,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4750]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4748,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10144_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23809,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4748]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4746,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10143_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23805,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4746]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4744,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10142_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23801,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4744]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4742,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10141_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23797,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4742]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4740,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10140_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23793,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4740]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4738,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10139_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23789,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4738]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4736,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10138_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23785,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4736]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4734,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10137_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23781,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4734]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4732,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10136_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23777,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4732]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4730,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10135_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23773,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4730]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4728,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10134_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23769,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4728]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23770,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oordered__semidom(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23769]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4726,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10133_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23765,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4726]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4724,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10132_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23761,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4724]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4722,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10131_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23757,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4722]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4720,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10130_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23753,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4720]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4718,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10129_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23749,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4718]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4716,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10128_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23745,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4716]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4714,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10127_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23741,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4714]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4712,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10126_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23737,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4712]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4710,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10125_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23733,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4710]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23734,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23733]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4708,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10124_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23729,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4708]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4706,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10123_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23725,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4706]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4704,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10122_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23721,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4704]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4702,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10121_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23717,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4702]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4700,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10120_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23713,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4700]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4698,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10119_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23709,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4698]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4696,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10118_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23705,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4696]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4694,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10117_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23701,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4694]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4692,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10116_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23697,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4692]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4690,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10115_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23693,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4690]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4688,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10114_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23689,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4688]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4686,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10113_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23685,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4686]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4684,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10112_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23681,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4684]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4682,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10111_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23677,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4682]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4680,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10110_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23673,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4680]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4678,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10109_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23669,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4678]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4676,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10108_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23665,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4676]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4674,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10107_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23661,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4674]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4672,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10106_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23657,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4672]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23658,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23657]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4670,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10105_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23653,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4670]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4668,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10104_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23649,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4668]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4666,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10103_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23645,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4666]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4664,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10102_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23641,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4664]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4662,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10101_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23637,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4662]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4660,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10100_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23633,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4660]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4658,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10099_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23629,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4658]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4656,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10098_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23625,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4656]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4654,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10097_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23621,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4654]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4652,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10096_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23617,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4652]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23618,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23617]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4650,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10095_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23613,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4650]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4648,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10094_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23609,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4648]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4646,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10093_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23605,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4646]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4644,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10092_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23601,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4644]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4642,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10091_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23597,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4642]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4640,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10090_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23593,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4640]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4638,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10089_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23589,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4638]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4636,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oone(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10088_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23585,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oone(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4636]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4634,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10087_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23581,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4634]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4632,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10086_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23577,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4632]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4630,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10085_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23573,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4630]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4628,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10084_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23569,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4628]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4626,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10083_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23565,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4626]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23566,plain,
% 23.15/23.48      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23565]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4624,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10082_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23561,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4624]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4622,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10081_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23557,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4622]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4620,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10080_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23553,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4620]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4618,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10079_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23549,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4618]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4616,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10078_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23545,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4616]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4614,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10077_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23541,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4614]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4612,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10076_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23537,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4612]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4610,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10075_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23533,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4610]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4608,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10074_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23529,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4608]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4606,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10073_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23525,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4606]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4604,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10072_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23521,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4604]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4602,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10071_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23517,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4602]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4600,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10070_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23513,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4600]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4598,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10069_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23509,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4598]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4596,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10068_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23505,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4596]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4594,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10067_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23501,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4594]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4592,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10066_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23497,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4592]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4590,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10065_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23493,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4590]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4588,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10064_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23489,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4588]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4586,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10063_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23485,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4586]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4584,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10062_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23481,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4584]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4582,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10061_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23477,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4582]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4580,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10060_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23473,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4580]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4578,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10059_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23469,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4578]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4576,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10058_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23465,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4576]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4574,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10057_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23461,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4574]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4572,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10056_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23457,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4572]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4570,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10055_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23453,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4570]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4568,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10054_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23449,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4568]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4566,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10053_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23445,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4566]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4564,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10052_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23441,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4564]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4562,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10051_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23437,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4562]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4560,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10050_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23433,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__idom(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4560]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4558,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10049_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23429,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4558]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4556,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10048_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23425,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4556]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4554,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10047_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23421,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4554]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4552,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10046_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23417,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4552]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4550,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10045_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23413,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4550]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4548,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10044_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23409,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4548]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4546,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10043_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23405,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4546]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4544,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10042_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23401,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4544]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4542,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10041_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23397,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4542]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4540,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10040_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23393,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4540]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4538,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10039_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23389,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4538]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4536,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10038_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23385,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4536]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4534,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10037_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23381,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4534]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4532,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10036_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23377,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4532]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4530,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10035_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23373,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4530]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4528,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10034_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23369,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4528]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4526,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10033_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23365,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4526]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4524,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10032_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23361,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4524]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4522,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10031_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23357,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4522]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4520,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oone(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10030_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23353,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oone(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4520]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4518,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10029_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23349,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4518]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4516,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10028_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23345,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4516]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4514,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10027_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23341,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4514]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4512,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10026_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23337,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4512]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4510,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10025_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23333,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4510]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4508,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10024_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23329,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4508]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4506,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oinverse(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10023_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23325,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oinverse(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4506]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4504,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ofield(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10022_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23321,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.15/23.48      | class_Ring__and__Field_Ofield(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4504]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4502,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10021_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23317,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4502]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23318,plain,
% 23.15/23.48      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23317]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4500,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10020_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23313,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4500]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23314,plain,
% 23.15/23.48      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23313]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4498,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10019_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23309,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4498]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23310,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23309]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4496,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Otimes(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10018_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23305,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Otimes(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4496]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23306,plain,
% 23.15/23.48      ( class_HOL_Otimes(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23305]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4494,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10017_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23301,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4494]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23302,plain,
% 23.15/23.48      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23301]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4492,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10016_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23297,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4492]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23298,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23297]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4490,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10015_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23293,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4490]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23294,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23293]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4488,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10014_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23289,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4488]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4486,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10013_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23285,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4486]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4484,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10012_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23281,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4484]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23282,plain,
% 23.15/23.48      ( class_Ring__and__Field_Opordered__semiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23281]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4482,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10011_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23277,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4482]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23278,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23277]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4480,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10010_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23273,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4480]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23274,plain,
% 23.15/23.48      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23273]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4478,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10009_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23269,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4478]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4476,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10008_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23265,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4476]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23266,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23265]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4474,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10007_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23261,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4474]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23262,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23261]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4472,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10006_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23257,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4472]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23258,plain,
% 23.15/23.48      ( class_Orderings_Oord(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23257]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4470,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10005_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23253,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4470]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23254,plain,
% 23.15/23.48      ( class_Orderings_Oorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23253]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4468,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10004_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23249,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4468]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23250,plain,
% 23.15/23.48      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23249]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4466,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10003_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23245,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4466]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23246,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23245]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4464,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10002_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23241,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4464]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23242,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23241]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4462,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10001_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23237,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4462]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23238,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23237]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4460,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_10000_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23233,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4460]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23234,plain,
% 23.15/23.48      ( class_LOrder_Omeet__semilorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23233]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4458,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9999_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23229,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4458]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23230,plain,
% 23.15/23.48      ( class_LOrder_Ojoin__semilorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23229]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4456,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9998_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23225,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4456]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23226,plain,
% 23.15/23.48      ( class_LOrder_Olorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23225]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4454,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9997_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23221,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Orderings_Olinorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4454]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23222,plain,
% 23.15/23.48      ( class_Orderings_Olinorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23221]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4452,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9996_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23217,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4452]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23218,plain,
% 23.15/23.48      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23217]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4450,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Ozero(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9995_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23213,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Ozero(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4450]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23214,plain,
% 23.15/23.48      ( class_HOL_Ozero(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23213]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4448,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9994_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23209,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4448]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23210,plain,
% 23.15/23.48      ( class_HOL_Oplus(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23209]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4446,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9993_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23205,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4446]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23206,plain,
% 23.15/23.48      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23205]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4444,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9992_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23201,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4444]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23202,plain,
% 23.15/23.48      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23201]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4442,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9991_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23197,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4442]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23198,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23197]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4440,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9990_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23193,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4440]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4438,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9989_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23189,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4438]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4436,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9988_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23185,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4436]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23186,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23185]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4434,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9987_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23181,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4434]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23182,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23181]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4432,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9986_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23177,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4432]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23178,plain,
% 23.15/23.48      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23177]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4430,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9985_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23173,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4430]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23174,plain,
% 23.15/23.48      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23173]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4428,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9984_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23169,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4428]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23170,plain,
% 23.15/23.48      ( class_OrderedGroup_Oab__group__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23169]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4426,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9983_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23165,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4426]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23166,plain,
% 23.15/23.48      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23165]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4424,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9982_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23161,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Omeet__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4424]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23162,plain,
% 23.15/23.48      ( class_LOrder_Omeet__semilorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23161]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4422,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9981_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23157,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4422]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23158,plain,
% 23.15/23.48      ( class_LOrder_Ojoin__semilorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23157]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4420,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9980_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23153,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_LOrder_Olorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4420]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23154,plain,
% 23.15/23.48      ( class_LOrder_Olorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23153]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4418,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9979_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23149,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4418]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23150,plain,
% 23.15/23.48      ( class_OrderedGroup_Olordered__ab__group(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23149]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4416,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9978_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23145,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4416]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23146,plain,
% 23.15/23.48      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23145]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4414,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9977_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23141,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4414]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23142,plain,
% 23.15/23.48      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23141]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4412,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9976_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23137,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4412]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23138,plain,
% 23.15/23.48      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23137]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4410,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9975_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23133,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4410]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23134,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23133]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4408,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9974_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23129,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4408]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23130,plain,
% 23.15/23.48      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23129]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4406,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9973_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23125,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4406]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23126,plain,
% 23.15/23.48      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23125]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4404,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9972_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23121,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4404]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23122,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23121]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4402,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9971_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23117,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ozero(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4402]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23118,plain,
% 23.15/23.48      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23117]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4400,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9970_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23113,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4400]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23114,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23113]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4398,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9969_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23109,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Otimes(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4398]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23110,plain,
% 23.15/23.48      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23109]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4396,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9968_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23105,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4396]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23106,plain,
% 23.15/23.48      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23105]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4394,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9967_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23101,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4394]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23102,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23101]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4392,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9966_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23097,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4392]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23098,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23097]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4390,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9965_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23093,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4390]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23094,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23093]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4388,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9964_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23089,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Orderings_Oord(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4388]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23090,plain,
% 23.15/23.48      ( class_Orderings_Oord(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23089]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4386,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9963_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23085,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Orderings_Oorder(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4386]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23086,plain,
% 23.15/23.48      ( class_Orderings_Oorder(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23085]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4384,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9962_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23081,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4384]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23082,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23081]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4382,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9961_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23077,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 23.15/23.48      | class_Ring__and__Field_Opordered__ring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4382]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23078,plain,
% 23.15/23.48      ( class_Ring__and__Field_Opordered__ring(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23077]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4380,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9960_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23073,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4380]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23074,plain,
% 23.15/23.48      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23073]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4378,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9959_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23069,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4378]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23070,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23069]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4376,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9958_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23065,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4376]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23066,plain,
% 23.15/23.48      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23065]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4374,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9957_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23061,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4374]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23062,plain,
% 23.15/23.48      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23061]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4372,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9956_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23057,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ominus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4372]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23058,plain,
% 23.15/23.48      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23057]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4370,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9955_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23053,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4370]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23054,plain,
% 23.15/23.48      ( class_OrderedGroup_Oab__group__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23053]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4368,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9954_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23049,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4368]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23050,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23049]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4366,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9953_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23045,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_Ring__and__Field_Oring(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4366]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23046,plain,
% 23.15/23.48      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23045]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4364,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9952_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23041,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oplus(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4364]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23042,plain,
% 23.15/23.48      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23041]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4362,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9951_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23037,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4362]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23038,plain,
% 23.15/23.48      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23037]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4360,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9950_0) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23033,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.15/23.48      inference(copy,[status(esa)],[c_4360]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_23034,plain,
% 23.15/23.48      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.15/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.15/23.48      inference(rewriting,[status(thm)],[c_23033]) ).
% 23.15/23.48  
% 23.15/23.48  cnf(c_4358,plain,
% 23.15/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.15/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9949_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23029,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4358]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23030,plain,
% 23.28/23.48      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23029]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4356,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9948_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23025,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4356]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23026,plain,
% 23.28/23.48      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23025]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4354,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9947_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23021,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4354]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23022,plain,
% 23.28/23.48      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23021]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4352,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9946_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23017,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4352]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23018,plain,
% 23.28/23.48      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23017]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4350,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9945_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23013,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4350]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23014,plain,
% 23.28/23.48      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23013]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4348,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9944_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23009,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4348]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23010,plain,
% 23.28/23.48      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23009]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4346,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9943_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23005,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4346]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23006,plain,
% 23.28/23.48      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23005]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4344,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9942_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23001,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4344]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_23002,plain,
% 23.28/23.48      ( class_Ring__and__Field_Oring__1(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_23001]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4342,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9941_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22997,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4342]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22998,plain,
% 23.28/23.48      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22997]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4340,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9940_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22993,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4340]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22994,plain,
% 23.28/23.48      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22993]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4338,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9939_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22989,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4338]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22990,plain,
% 23.28/23.48      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22989]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4336,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9938_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22985,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4336]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22986,plain,
% 23.28/23.48      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22985]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4334,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9937_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22981,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4334]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22982,plain,
% 23.28/23.48      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22981]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4332,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9936_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22977,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4332]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22978,plain,
% 23.28/23.48      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22977]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4330,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oone(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9935_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22973,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oone(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4330]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22974,plain,
% 23.28/23.48      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22973]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4328,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9934_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22969,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.48      inference(copy,[status(esa)],[c_4328]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22970,plain,
% 23.28/23.48      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.28/23.48      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.48      inference(rewriting,[status(thm)],[c_22969]) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_4326,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.48      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.48      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9933_0) ).
% 23.28/23.48  
% 23.28/23.48  cnf(c_22965,plain,
% 23.28/23.48      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4326]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22966,plain,
% 23.28/23.49      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22965]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4324,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9932_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22961,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4324]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22962,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22961]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4322,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9931_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22957,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4322]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22958,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22957]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4320,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9930_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22953,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oidom(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4320]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22954,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22953]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4318,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9929_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22949,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4318]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4316,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9928_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22945,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4316]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4314,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9927_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22941,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4314]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4312,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9926_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22937,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4312]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4310,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9925_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22933,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4310]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4308,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9924_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22929,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4308]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4306,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9923_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22925,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4306]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4304,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9922_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22921,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oidom(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4304]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4302,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oinverse(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9921_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22917,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oinverse(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4302]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4300,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9920_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22913,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4300]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22914,plain,
% 23.28/23.49      ( class_Ring__and__Field_Oring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ofield(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22913]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4298,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9919_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22909,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4298]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4296,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9918_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22905,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4296]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4294,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9917_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22901,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4294]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4292,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9916_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22897,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4292]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4290,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9915_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22893,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4290]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4288,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9914_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22889,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4288]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4286,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9913_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22885,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4286]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4284,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9912_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22881,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4284]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4282,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9911_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22877,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4282]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4280,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9910_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22873,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4280]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22874,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ofield(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22873]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4278,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9909_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22869,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4278]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4276,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9908_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22865,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4276]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4274,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9907_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22861,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4274]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4272,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9906_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22857,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4272]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4270,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9905_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22853,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4270]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4268,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9904_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22849,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4268]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4266,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9903_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22845,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4266]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4264,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9902_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22841,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4264]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4262,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9901_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22837,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4262]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4260,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9900_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22833,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4260]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4258,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9899_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22829,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4258]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4256,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9898_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22825,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4256]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4254,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9897_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22821,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4254]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22822,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ofield(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22821]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4252,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.49      | class_HOL_Oinverse(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9896_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22817,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.49      | class_HOL_Oinverse(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4252]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4250,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9895_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22813,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4250]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4248,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9894_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22809,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4248]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4246,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9893_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22805,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4246]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22806,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22805]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4244,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9892_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22801,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4244]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4242,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9891_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22797,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4242]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4240,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9890_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22793,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4240]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4238,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9889_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22789,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4238]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4236,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9888_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22785,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4236]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4234,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9887_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22781,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4234]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4232,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9886_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22777,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4232]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4230,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9885_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22773,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4230]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4228,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9884_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22769,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4228]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4226,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9883_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22765,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4226]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4224,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9882_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22761,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4224]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4222,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9881_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22757,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4222]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4220,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9880_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22753,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4220]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4218,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9879_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22749,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4218]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4216,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9878_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22745,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4216]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4214,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9877_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22741,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4214]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4212,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9876_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22737,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4212]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4210,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9875_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22733,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4210]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4208,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9874_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22729,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4208]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4206,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9873_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22725,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4206]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4204,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9872_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22721,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4204]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4202,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9871_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22717,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4202]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4200,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9870_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22713,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4200]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4198,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9869_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22709,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4198]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22710,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22709]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4196,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9868_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22705,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4196]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22706,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22705]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4194,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9867_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22701,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4194]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4192,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9866_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22697,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4192]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4190,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9865_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22693,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4190]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22694,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22693]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4188,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9864_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22689,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4188]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22690,plain,
% 23.28/23.49      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22689]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4186,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9863_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22685,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4186]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22686,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22685]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4184,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9862_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22681,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4184]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22682,plain,
% 23.28/23.49      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22681]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4182,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9861_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22677,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4182]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22678,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22677]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4180,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9860_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22673,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4180]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22674,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22673]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4178,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9859_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22669,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4178]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22670,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22669]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4176,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9858_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22665,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4176]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22666,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22665]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4174,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9857_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22661,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4174]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22662,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22661]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4172,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9856_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22657,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4172]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4170,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9855_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22653,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4170]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22654,plain,
% 23.28/23.49      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22653]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4168,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9854_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22649,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4168]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22650,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22649]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4166,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9853_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22645,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4166]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4164,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9852_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22641,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4164]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22642,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22641]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4162,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9851_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22637,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4162]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4160,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9850_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22633,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4160]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4158,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9849_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22629,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4158]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22630,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22629]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4156,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9848_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22625,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4156]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22626,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22625]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4154,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9847_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22621,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4154]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4152,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9846_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22617,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4152]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22618,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22617]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4150,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9845_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22613,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4150]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22614,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22613]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4148,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9844_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22609,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4148]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22610,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22609]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4146,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9843_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22605,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4146]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4144,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9842_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22601,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4144]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22602,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22601]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4142,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9841_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22597,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4142]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4140,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9840_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22593,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4140]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22594,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22593]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4138,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9839_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22589,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4138]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4136,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9838_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22585,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4136]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22586,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22585]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4134,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9837_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22581,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4134]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4132,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9836_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22577,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4132]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4130,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9835_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22573,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4130]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22574,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22573]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4128,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9834_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22569,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4128]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22570,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22569]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4126,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9833_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22565,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4126]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4124,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9832_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22561,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4124]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22562,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22561]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4122,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9831_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22557,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4122]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22558,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22557]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4120,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9830_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22553,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4120]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4118,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9829_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22549,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4118]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4116,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9828_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22545,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4116]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22546,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22545]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4114,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9827_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22541,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4114]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22542,plain,
% 23.28/23.49      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22541]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4112,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9826_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22537,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4112]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22538,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22537]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4110,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9825_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22533,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4110]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22534,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22533]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4108,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9824_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22529,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4108]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22530,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22529]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4106,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9823_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22525,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4106]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22526,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22525]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4104,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9822_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22521,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4104]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22522,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22521]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4102,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9821_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22517,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4102]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4100,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9820_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22513,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4100]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4098,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9819_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22509,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4098]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4096,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9818_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22505,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4096]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4094,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9817_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22501,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4094]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4092,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9816_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22497,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4092]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4090,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9815_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22493,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4090]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4088,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9814_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22489,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4088]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4086,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9813_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22485,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4086]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4084,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9812_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22481,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4084]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4082,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9811_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22477,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4082]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4080,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9810_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22473,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4080]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4078,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9809_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22469,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4078]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4076,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9808_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22465,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4076]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4074,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9807_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22461,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4074]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4072,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9806_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22457,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4072]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4070,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9805_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22453,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4070]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4068,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9804_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22449,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4068]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4066,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9803_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22445,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4066]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4064,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9802_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22441,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4064]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4062,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9801_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22437,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4062]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4060,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9800_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22433,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4060]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4058,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9799_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22429,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4058]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4056,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9798_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22425,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4056]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4054,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9797_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22421,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4054]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4052,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9796_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22417,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4052]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4050,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9795_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22413,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4050]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4048,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9794_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22409,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4048]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4046,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9793_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22405,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4046]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4044,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9792_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22401,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4044]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22402,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22401]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4042,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9791_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22397,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4042]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4040,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9790_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22393,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4040]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22394,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22393]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4038,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9789_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22389,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4038]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4036,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9788_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22385,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4036]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4034,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9787_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22381,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4034]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22382,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22381]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4032,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9786_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22377,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4032]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22378,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22377]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4030,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9785_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22373,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4030]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4028,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9784_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22369,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4028]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22370,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22369]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4026,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9783_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22365,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4026]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22366,plain,
% 23.28/23.49      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22365]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4024,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9782_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22361,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4024]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22362,plain,
% 23.28/23.49      ( class_Ring__and__Field_Oring(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22361]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4022,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9781_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22357,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4022]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22358,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22357]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4020,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9780_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22353,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4020]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22354,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22353]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4018,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9779_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22349,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4018]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22350,plain,
% 23.28/23.49      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22349]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4016,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9778_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22345,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4016]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22346,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22345]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4014,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9777_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22341,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4014]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4012,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9776_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22337,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4012]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22338,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22337]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4010,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9775_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22333,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4010]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4008,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9774_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22329,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4008]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22330,plain,
% 23.28/23.49      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22329]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4006,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9773_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22325,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 23.28/23.49      | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4006]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22326,plain,
% 23.28/23.49      ( class_HOL_Otimes(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22325]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4004,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9772_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22321,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4004]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22322,plain,
% 23.28/23.49      ( class_HOL_Ozero(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22321]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4002,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9771_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22317,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4002]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22318,plain,
% 23.28/23.49      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22317]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_4000,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9770_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22313,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_4000]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22314,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22313]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3998,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9769_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22309,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3998]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22310,plain,
% 23.28/23.49      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22309]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3996,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9768_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22305,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3996]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22306,plain,
% 23.28/23.49      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22305]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3994,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9767_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22301,plain,
% 23.28/23.49      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3994]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3992,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9766_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22297,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3992]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3990,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9765_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22293,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3990]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3988,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9764_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22289,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3988]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3986,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9763_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22285,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3986]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3984,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9762_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22281,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3984]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3982,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9761_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22277,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3982]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3980,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9760_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22273,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3980]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3978,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9759_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22269,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3978]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3976,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9758_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22265,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3976]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3974,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9757_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22261,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3974]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3972,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9756_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22257,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3972]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3970,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9755_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22253,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3970]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3968,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9754_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22249,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3968]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3966,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9753_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22245,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3966]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3964,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9752_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22241,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3964]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3962,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9751_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22237,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3962]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3960,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9750_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22233,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3960]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3958,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9749_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22229,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3958]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3956,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9748_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22225,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3956]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3954,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9747_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22221,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3954]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3952,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9746_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22217,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3952]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3950,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9745_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22213,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0)
% 23.28/23.49      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3950]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3948,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9744_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22209,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3948]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3946,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9743_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22205,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3946]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3944,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Nat_Opower(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9742_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22201,plain,
% 23.28/23.49      ( ~ class_Power_Orecpower(X0) | class_Nat_Opower(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3944]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3942,plain,
% 23.28/23.49      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9741_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22197,plain,
% 23.28/23.49      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3942]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22198,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22197]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3940,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9740_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22193,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3940]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3938,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9739_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22189,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3938]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3936,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9738_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22185,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3936]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3934,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9737_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22181,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3934]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3932,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Olorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9736_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22177,plain,
% 23.28/23.49      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Olorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3932]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3930,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Osemigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9735_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22173,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Osemigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3930]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22174,plain,
% 23.28/23.49      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22173]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3928,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Osemigroup__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9734_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22169,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Osemigroup__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3928]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22170,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22169]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3926,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9733_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22165,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3926]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22166,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22165]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3924,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9732_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22161,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3924]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22162,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22161]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3922,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9731_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22157,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3922]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22158,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22157]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3920,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9730_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22153,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3920]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22154,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22153]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3918,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9729_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22149,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3918]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22150,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22149]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3916,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9728_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22145,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3916]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22146,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22145]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3914,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9727_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22141,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3914]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22142,plain,
% 23.28/23.49      ( class_Orderings_Oorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22141]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3912,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9726_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22137,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3912]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3910,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9725_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22133,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3910]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3908,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9724_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22129,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3908]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3906,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9723_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22125,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3906]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3904,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9722_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22121,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3904]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3902,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9721_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22117,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3902]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3900,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9720_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22113,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3900]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3898,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9719_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22109,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3898]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3896,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9718_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22105,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3896]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3894,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9717_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22101,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3894]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3892,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9716_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22097,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3892]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22098,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22097]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3890,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9715_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22093,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3890]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22094,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22093]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3888,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9714_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22089,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3888]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22090,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22089]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3886,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9713_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22085,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3886]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22086,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22085]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3884,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9712_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22081,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3884]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22082,plain,
% 23.28/23.49      ( class_Orderings_Oorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22081]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3882,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9711_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22077,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3882]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3880,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9710_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22073,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3880]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3878,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9709_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22069,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3878]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3876,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9708_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22065,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3876]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3874,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9707_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22061,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3874]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3872,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9706_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22057,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3872]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3870,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9705_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22053,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Ozero(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3870]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3868,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9704_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22049,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3868]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3866,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9703_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22045,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3866]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3864,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9702_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22041,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3864]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22042,plain,
% 23.28/23.49      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22041]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3862,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9701_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22037,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3862]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22038,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22037]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3860,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9700_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22033,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3860]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3858,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Ominus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9699_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22029,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_HOL_Ominus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3858]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3856,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9698_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22025,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3856]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3854,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Olinorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9697_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22021,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Olinorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3854]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22022,plain,
% 23.28/23.49      ( class_Orderings_Olinorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22021]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3852,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9696_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22017,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_HOL_Oplus(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3852]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22018,plain,
% 23.28/23.49      ( class_HOL_Oplus(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22017]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3850,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9695_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22013,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3850]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22014,plain,
% 23.28/23.49      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22013]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3848,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9694_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22009,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3848]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22010,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22009]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3846,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9693_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22005,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3846]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22006,plain,
% 23.28/23.49      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22005]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3844,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9692_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22001,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3844]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_22002,plain,
% 23.28/23.49      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_22001]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3842,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9691_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21997,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3842]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21998,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21997]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3840,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9690_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21993,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3840]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21994,plain,
% 23.28/23.49      ( class_Orderings_Oorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21993]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3838,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9689_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21989,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3838]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21990,plain,
% 23.28/23.49      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21989]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3836,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9688_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21985,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3836]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21986,plain,
% 23.28/23.49      ( class_LOrder_Omeet__semilorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21985]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3834,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9687_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21981,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3834]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21982,plain,
% 23.28/23.49      ( class_LOrder_Ojoin__semilorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21981]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3832,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Olorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9686_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21977,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_LOrder_Olorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3832]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21978,plain,
% 23.28/23.49      ( class_LOrder_Olorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21977]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3830,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9685_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21973,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3830]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21974,plain,
% 23.28/23.49      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21973]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3828,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9684_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21969,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3828]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21970,plain,
% 23.28/23.49      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21969]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3826,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9683_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21965,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3826]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3824,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9682_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21961,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 23.28/23.49      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3824]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3822,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9681_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21957,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Oone(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3822]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21958,plain,
% 23.28/23.49      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21957]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3820,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9680_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21953,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_Orderings_Oord(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3820]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21954,plain,
% 23.28/23.49      ( class_Orderings_Oord(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21953]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3818,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9679_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21949,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_Orderings_Oorder(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3818]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21950,plain,
% 23.28/23.49      ( class_Orderings_Oorder(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21949]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3816,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9678_0) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21945,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.49      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.49      inference(copy,[status(esa)],[c_3816]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_21946,plain,
% 23.28/23.49      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.49      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.49      inference(rewriting,[status(thm)],[c_21945]) ).
% 23.28/23.49  
% 23.28/23.49  cnf(c_3814,plain,
% 23.28/23.49      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9677_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21941,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3814]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21942,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21941]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3812,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9676_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21937,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3812]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21938,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21937]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3810,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9675_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21933,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3810]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21934,plain,
% 23.28/23.50      ( class_HOL_Ozero(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21933]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3808,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9674_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21929,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3808]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21930,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21929]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3806,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9673_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21925,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3806]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21926,plain,
% 23.28/23.50      ( class_HOL_Ominus(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21925]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3804,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9672_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21921,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3804]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21922,plain,
% 23.28/23.50      ( class_LOrder_Ojoin__semilorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21921]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3802,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9671_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21917,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3802]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21918,plain,
% 23.28/23.50      ( class_LOrder_Olorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21917]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3800,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9670_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21913,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3800]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21914,plain,
% 23.28/23.50      ( class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21913]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3798,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9669_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21909,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3798]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21910,plain,
% 23.28/23.50      ( class_LOrder_Omeet__semilorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21909]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3796,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9668_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21905,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3796]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21906,plain,
% 23.28/23.50      ( class_HOL_Oplus(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21905]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3794,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9667_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21901,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3794]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21902,plain,
% 23.28/23.50      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21901]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3792,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9666_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21897,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3792]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21898,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21897]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3790,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9665_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21893,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3790]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21894,plain,
% 23.28/23.50      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21893]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3788,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9664_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21889,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3788]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21890,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21889]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3786,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9663_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21885,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3786]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21886,plain,
% 23.28/23.50      ( class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21885]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3784,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9662_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21881,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3784]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21882,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21881]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3782,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9661_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21877,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3782]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21878,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21877]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3780,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9660_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21873,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3780]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21874,plain,
% 23.28/23.50      ( class_Orderings_Oorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21873]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3778,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9659_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21869,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3778]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21870,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21869]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3776,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9658_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21865,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3776]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21866,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21865]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3774,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9657_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21861,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3774]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21862,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21861]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3772,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9656_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21857,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3772]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21858,plain,
% 23.28/23.50      ( class_HOL_Ozero(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21857]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3770,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9655_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21853,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3770]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21854,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21853]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3768,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9654_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21849,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3768]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21850,plain,
% 23.28/23.50      ( class_HOL_Ominus(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21849]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3766,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9653_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21845,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3766]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21846,plain,
% 23.28/23.50      ( class_LOrder_Omeet__semilorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21845]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3764,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9652_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21841,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3764]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21842,plain,
% 23.28/23.50      ( class_LOrder_Olorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21841]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3762,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9651_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21837,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3762]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21838,plain,
% 23.28/23.50      ( class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21837]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3760,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9650_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21833,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3760]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21834,plain,
% 23.28/23.50      ( class_LOrder_Ojoin__semilorder(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21833]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3758,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9649_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21829,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3758]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21830,plain,
% 23.28/23.50      ( class_HOL_Oplus(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21829]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3756,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9648_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21825,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3756]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21826,plain,
% 23.28/23.50      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21825]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3754,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9647_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21821,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3754]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21822,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21821]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3752,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9646_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21817,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3752]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21818,plain,
% 23.28/23.50      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21817]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3750,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9645_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21813,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3750]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21814,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21813]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3748,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9644_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21809,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3748]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21810,plain,
% 23.28/23.50      ( class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21809]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3746,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9643_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21805,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3746]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21806,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21805]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3744,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9642_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21801,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3744]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3742,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9641_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21797,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3742]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3740,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9640_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21793,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3740]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3738,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9639_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21789,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3738]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21790,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21789]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3736,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9638_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21785,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3736]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3734,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9637_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21781,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3734]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3732,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9636_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21777,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3732]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3730,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9635_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21773,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3730]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3728,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9634_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21769,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3728]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21770,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21769]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3726,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9633_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21765,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3726]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3724,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9632_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21761,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3724]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3722,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9631_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21757,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3722]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3720,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9630_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21753,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3720]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3718,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9629_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21749,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3718]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3716,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9628_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21745,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3716]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3714,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9627_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21741,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3714]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3712,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9626_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21737,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3712]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3710,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9625_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21733,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3710]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3708,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9624_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21729,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3708]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3706,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9623_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21725,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3706]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21726,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21725]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3704,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9622_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21721,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3704]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3702,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9621_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21717,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3702]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3700,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9620_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21713,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3700]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3698,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9619_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21709,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3698]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21710,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21709]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3696,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9618_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21705,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3696]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3694,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9617_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21701,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3694]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3692,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9616_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21697,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3692]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3690,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9615_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21693,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3690]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3688,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9614_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21689,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3688]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3686,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9613_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21685,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3686]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3684,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9612_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21681,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3684]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3682,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9611_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21677,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3682]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3680,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9610_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21673,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3680]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3678,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9609_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21669,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3678]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3676,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9608_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21665,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3676]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3674,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9607_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21661,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3674]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3672,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9606_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21657,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3672]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21658,plain,
% 23.28/23.50      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21657]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3670,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9605_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21653,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3670]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21654,plain,
% 23.28/23.50      ( class_OrderedGroup_Omonoid__mult(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21653]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3668,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9604_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21649,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3668]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3666,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9603_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21645,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3666]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3664,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9602_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21641,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3664]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3662,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Oone(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9601_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21637,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Oone(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3662]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21638,plain,
% 23.28/23.50      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21637]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3660,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9600_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21633,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3660]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3658,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9599_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21629,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3658]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3656,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9598_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21625,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3656]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3654,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9597_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21621,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3654]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3652,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9596_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21617,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3652]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3650,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9595_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21613,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3650]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3648,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9594_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21609,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3648]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21610,plain,
% 23.28/23.50      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21609]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3646,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9593_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21605,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3646]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21606,plain,
% 23.28/23.50      ( class_HOL_Oplus(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21605]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3644,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9592_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21601,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3644]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21602,plain,
% 23.28/23.50      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21601]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3642,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9591_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21597,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3642]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3640,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9590_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21593,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3640]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21594,plain,
% 23.28/23.50      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21593]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3638,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9589_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21589,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3638]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21590,plain,
% 23.28/23.50      ( class_OrderedGroup_Osemigroup__mult(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21589]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3636,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9588_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21585,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3636]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21586,plain,
% 23.28/23.50      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21585]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3634,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9587_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21581,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3634]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21582,plain,
% 23.28/23.50      ( class_OrderedGroup_Osemigroup__add(X0)
% 23.28/23.50      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21581]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3632,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9586_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21577,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3632]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3630,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9585_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21573,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3630]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3628,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9584_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21569,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3628]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3626,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9583_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21565,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3626]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3624,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9582_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21561,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3624]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3622,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9581_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21557,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3622]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3620,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9580_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21553,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3620]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3618,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9579_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21549,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3618]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3616,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9578_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21545,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3616]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3614,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9577_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21541,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ozero(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3614]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3612,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9576_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21537,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3612]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3610,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9575_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21533,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3610]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21534,plain,
% 23.28/23.50      ( class_Ring__and__Field_Osemiring(X0)
% 23.28/23.50      | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21533]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3608,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9574_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21529,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3608]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3606,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9573_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21525,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3606]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3604,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_Numeral_Onumber(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9572_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21521,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_Numeral_Onumber(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3604]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21522,plain,
% 23.28/23.50      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21521]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3602,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9571_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21517,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Otimes(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3602]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3600,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9570_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21513,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3600]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21514,plain,
% 23.28/23.50      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21513]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3598,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9569_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21509,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3598]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3596,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9568_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21505,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Oring__1(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3596]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3594,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9567_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21501,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3594]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3592,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9566_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21497,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3592]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3590,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9565_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21493,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__1(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3590]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3588,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9564_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21489,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3588]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3586,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9563_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21485,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Omonoid__mult(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3586]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3584,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9562_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21481,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3584]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3582,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oone(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9561_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21477,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oone(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3582]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3580,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9560_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21473,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3580]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3578,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9559_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21469,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3578]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3576,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9558_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21465,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3576]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3574,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9557_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21461,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_Ring__and__Field_Oring(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3574]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21462,plain,
% 23.28/23.50      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21461]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3572,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9556_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21457,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3572]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3570,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9555_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21453,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Oab__group__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3570]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3568,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9554_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21449,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3568]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3566,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9553_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21445,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3566]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3564,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9552_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21441,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ominus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3564]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3562,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9551_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21437,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3562]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3560,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9550_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21433,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_Ring__and__Field_Osemiring__0(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3560]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3558,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9549_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21429,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | class_OrderedGroup_Osemigroup__add(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3558]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3556,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9548_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21425,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oplus(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3556]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3554,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9547_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21421,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3554]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21422,plain,
% 23.28/23.50      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21421]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3552,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9546_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21417,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3552]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21418,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21417]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3550,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9545_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21413,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3550]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21414,plain,
% 23.28/23.50      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21413]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3548,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9544_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21409,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3548]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21410,plain,
% 23.28/23.50      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21409]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3546,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9543_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21405,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3546]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21406,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21405]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3544,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9542_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21401,plain,
% 23.28/23.50      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3544]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21402,plain,
% 23.28/23.50      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21401]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3542,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9541_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21397,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3542]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21398,plain,
% 23.28/23.50      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21397]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3540,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9540_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21393,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3540]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21394,plain,
% 23.28/23.50      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21393]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3538,plain,
% 23.28/23.50      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9539_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21389,plain,
% 23.28/23.50      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3538]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3536,plain,
% 23.28/23.50      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9538_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21385,plain,
% 23.28/23.50      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3536]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3534,plain,
% 23.28/23.50      ( ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | class_Finite__Set_Ofinite(tc_set(X0)) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9537_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21381,plain,
% 23.28/23.50      ( ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | class_Finite__Set_Ofinite(tc_set(X0)) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3534]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21382,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_set(X0))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21381]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3532,plain,
% 23.28/23.50      ( ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0)) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9536_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21377,plain,
% 23.28/23.50      ( ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0)) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3532]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21378,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21377]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3530,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9535_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21373,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3530]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3528,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9534_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21369,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3528]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3526,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9533_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21365,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.50      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3526]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3522,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9531_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21357,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3522]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3518,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9529_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21349,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3518]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3516,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9528_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21345,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3516]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3512,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9526_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21337,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3512]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3510,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9525_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21333,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3510]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3506,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9523_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21325,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3506]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3504,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9522_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21321,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3504]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3500,plain,
% 23.28/23.50      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9520_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21313,plain,
% 23.28/23.50      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3500]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3498,plain,
% 23.28/23.50      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9519_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21309,plain,
% 23.28/23.50      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3498]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3492,plain,
% 23.28/23.50      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9516_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21297,plain,
% 23.28/23.50      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3492]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3490,plain,
% 23.28/23.50      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9515_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21293,plain,
% 23.28/23.50      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3490]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3488,plain,
% 23.28/23.50      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9514_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21289,plain,
% 23.28/23.50      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3488]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3485,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9513_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21283,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3485]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3482,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9512_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21277,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3482]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3480,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9511_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21273,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3480]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21274,plain,
% 23.28/23.50      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21273]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3478,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9510_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21269,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3478]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21270,plain,
% 23.28/23.50      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21269]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3476,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9509_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21265,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3476]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21266,plain,
% 23.28/23.50      ( ~ c_IntDef_Oiszero(c_1,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21265]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3473,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9508_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21259,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3473]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3470,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9507_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21253,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3470]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21254,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_0 = X1
% 23.28/23.50      | c_uminus(X1,X0) != c_0 ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21253]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3464,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9505_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21241,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3464]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3461,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9504_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21235,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3461]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3458,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9503_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21229,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3458]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21230,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_0 = X1
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21229]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3455,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9502_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21223,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3455]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3452,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9501_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21217,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_0
% 23.28/23.50      | c_0 = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3452]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21218,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_0 = X1
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21217]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3450,plain,
% 23.28/23.50      ( c_Parity_Oeven(X0,tc_nat) | c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9500_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21213,plain,
% 23.28/23.50      ( c_Parity_Oeven(X0,tc_nat) | c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3450]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21214,plain,
% 23.28/23.50      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21213]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3448,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9499_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21209,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3448]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3446,plain,
% 23.28/23.50      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9498_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21205,plain,
% 23.28/23.50      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3446]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3444,plain,
% 23.28/23.50      ( c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset
% 23.28/23.50      | c_Union(X0,X1) = c_emptyset ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9497_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21201,plain,
% 23.28/23.50      ( c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset
% 23.28/23.50      | c_Union(X0,X1) = c_emptyset ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3444]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21202,plain,
% 23.28/23.50      ( c_Union(X0,X1) = c_emptyset
% 23.28/23.50      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21201]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3442,plain,
% 23.28/23.50      ( c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset
% 23.28/23.50      | c_Union(X0,X1) = c_emptyset ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9496_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21197,plain,
% 23.28/23.50      ( c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset
% 23.28/23.50      | c_Union(X0,X1) = c_emptyset ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3442]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21198,plain,
% 23.28/23.50      ( c_Union(X0,X1) = c_emptyset
% 23.28/23.50      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21197]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3440,plain,
% 23.28/23.50      ( c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV
% 23.28/23.50      | c_Inter(X0,X1) = c_UNIV ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9495_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21193,plain,
% 23.28/23.50      ( c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV
% 23.28/23.50      | c_Inter(X0,X1) = c_UNIV ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3440]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21194,plain,
% 23.28/23.50      ( c_Inter(X0,X1) = c_UNIV
% 23.28/23.50      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21193]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3438,plain,
% 23.28/23.50      ( c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV
% 23.28/23.50      | c_Inter(X0,X1) = c_UNIV ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9494_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21189,plain,
% 23.28/23.50      ( c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV
% 23.28/23.50      | c_Inter(X0,X1) = c_UNIV ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3438]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21190,plain,
% 23.28/23.50      ( c_Inter(X0,X1) = c_UNIV
% 23.28/23.50      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21189]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3436,plain,
% 23.28/23.50      ( c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil
% 23.28/23.50      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9493_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21185,plain,
% 23.28/23.50      ( c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil
% 23.28/23.50      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3436]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21186,plain,
% 23.28/23.50      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 23.28/23.50      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21185]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3434,plain,
% 23.28/23.50      ( c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil
% 23.28/23.50      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9492_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21181,plain,
% 23.28/23.50      ( c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil
% 23.28/23.50      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3434]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21182,plain,
% 23.28/23.50      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 23.28/23.50      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21181]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3432,plain,
% 23.28/23.50      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9491_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21177,plain,
% 23.28/23.50      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3432]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3430,plain,
% 23.28/23.50      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 23.28/23.50      | X0 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9490_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21173,plain,
% 23.28/23.50      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 23.28/23.50      | X0 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3430]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3426,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9489_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21165,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_0
% 23.28/23.50      | X1 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3426]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3422,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_1
% 23.28/23.50      | X1 = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9488_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21157,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_1
% 23.28/23.50      | X1 = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3422]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3420,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9487_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21153,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3420]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3418,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9486_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21149,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3418]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3416,plain,
% 23.28/23.50      ( X0 = c_Datatype_Ooption_ONone
% 23.28/23.50      | c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9485_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21145,plain,
% 23.28/23.50      ( X0 = c_Datatype_Ooption_ONone
% 23.28/23.50      | c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3416]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21146,plain,
% 23.28/23.50      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 23.28/23.50      | X0 = c_Datatype_Ooption_ONone ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21145]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3414,plain,
% 23.28/23.50      ( X0 = c_Datatype_Ooption_ONone
% 23.28/23.50      | c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9484_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21141,plain,
% 23.28/23.50      ( X0 = c_Datatype_Ooption_ONone
% 23.28/23.50      | c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3414]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21142,plain,
% 23.28/23.50      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 23.28/23.50      | X0 = c_Datatype_Ooption_ONone ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21141]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3412,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9483_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21137,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3412]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3411,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9482_2) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21135,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3411]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3408,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9481_2) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21129,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3408]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3405,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9480_2) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21123,plain,
% 23.28/23.50      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X0)
% 23.28/23.50      | ~ class_Finite__Set_Ofinite(X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3405]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3401,plain,
% 23.28/23.50      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9479_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21115,plain,
% 23.28/23.50      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3401]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3399,plain,
% 23.28/23.50      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9478_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21111,plain,
% 23.28/23.50      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3399]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3397,plain,
% 23.28/23.50      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9477_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21107,plain,
% 23.28/23.50      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3397]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3395,plain,
% 23.28/23.50      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 23.28/23.50      | X0 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9476_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21103,plain,
% 23.28/23.50      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 23.28/23.50      | X0 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3395]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3393,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9475_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21099,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3393]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3391,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(X0,tc_nat) | ~ c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9474_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21095,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(X0,tc_nat) | ~ c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3391]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21096,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21095]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3384,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9472_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21081,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3384]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21082,plain,
% 23.28/23.50      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21081]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3376,plain,
% 23.28/23.50      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9469_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21065,plain,
% 23.28/23.50      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3376]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3374,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9468_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21061,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3374]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3371,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9467_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21055,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3371]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3368,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9466_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21049,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3368]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3365,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9465_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21043,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3365]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3362,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9464_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21037,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3362]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3359,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9463_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21031,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3359]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3356,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9462_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21025,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3356]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3353,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9461_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21019,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3353]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3351,plain,
% 23.28/23.50      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 23.28/23.50      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9460_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21015,plain,
% 23.28/23.50      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 23.28/23.50      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3351]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3349,plain,
% 23.28/23.50      ( X0 = c_0 | c_div(X0,X0,tc_IntDef_Oint) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9459_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21011,plain,
% 23.28/23.50      ( X0 = c_0 | c_div(X0,X0,tc_IntDef_Oint) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3349]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21012,plain,
% 23.28/23.50      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21011]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3346,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9458_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21005,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3346]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3344,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.28/23.50      | c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9457_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21001,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.28/23.50      | c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3344]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_21002,plain,
% 23.28/23.50      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_21001]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3342,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9456_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20997,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3342]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3340,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_lessequals(c_0,c_1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9455_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20993,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.50      | c_lessequals(c_0,c_1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3340]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20994,plain,
% 23.28/23.50      ( c_lessequals(c_0,c_1,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20993]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3338,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9454_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20989,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3338]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20990,plain,
% 23.28/23.50      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20989]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3336,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_in(c_1,c_IntDef_ONats,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9453_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20985,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_in(c_1,c_IntDef_ONats,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3336]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20986,plain,
% 23.28/23.50      ( c_in(c_1,c_IntDef_ONats,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20985]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3334,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_in(c_0,c_IntDef_ONats,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9452_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20981,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.50      | c_in(c_0,c_IntDef_ONats,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3334]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20982,plain,
% 23.28/23.50      ( c_in(c_0,c_IntDef_ONats,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20981]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3332,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_in(c_1,c_IntDef_OInts,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9451_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20977,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_in(c_1,c_IntDef_OInts,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3332]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20978,plain,
% 23.28/23.50      ( c_in(c_1,c_IntDef_OInts,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20977]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3330,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_in(c_0,c_IntDef_OInts,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9450_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20973,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.50      | c_in(c_0,c_IntDef_OInts,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3330]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20974,plain,
% 23.28/23.50      ( c_in(c_0,c_IntDef_OInts,X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20973]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3328,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.50      | c_times(X1,c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9449_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20969,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.50      | c_times(X1,c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3328]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3326,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.50      | c_times(c_0,X1,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9448_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20965,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 23.28/23.50      | c_times(c_0,X1,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3326]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3324,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_times(X1,c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9447_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20961,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_times(X1,c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3324]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3322,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_times(c_0,X1,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9446_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20957,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | c_times(c_0,X1,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3322]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3320,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9445_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20953,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3320]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3318,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9444_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20949,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3318]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3314,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9443_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20941,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 23.28/23.50      | X1 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3314]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3312,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9442_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20937,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3312]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3310,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9441_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20933,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3310]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3308,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9440_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20929,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3308]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3306,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9439_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20925,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3306]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3304,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9438_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20921,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3304]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3302,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9437_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20917,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3302]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3300,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9436_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20913,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3300]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3298,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9435_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20909,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3298]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3296,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9434_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20905,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3296]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3294,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9433_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20901,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3294]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3292,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9432_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20897,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.50      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3292]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3290,plain,
% 23.28/23.50      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9431_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20893,plain,
% 23.28/23.50      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3290]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20894,plain,
% 23.28/23.50      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20893]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3288,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9430_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20889,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3288]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3286,plain,
% 23.28/23.50      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 23.28/23.50      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9429_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20885,plain,
% 23.28/23.50      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 23.28/23.50      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3286]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3284,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9428_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20881,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3284]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3282,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9427_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20877,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3282]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3280,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9426_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20873,plain,
% 23.28/23.50      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3280]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3278,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9425_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20869,plain,
% 23.28/23.50      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3278]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3276,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(X0,X1) | c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9424_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20865,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(X0,X1) | c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3276]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20866,plain,
% 23.28/23.50      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20865]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3274,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(X0,X1)
% 23.28/23.50      | c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9423_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20861,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(X0,X1)
% 23.28/23.50      | c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3274]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20862,plain,
% 23.28/23.50      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 23.28/23.50      | ~ c_List_Odistinct(X0,X1) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20861]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3272,plain,
% 23.28/23.50      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9422_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20857,plain,
% 23.28/23.50      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3272]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3270,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9421_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20853,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3270]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3261,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(c_0,c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9418_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20835,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(c_0,c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3261]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3259,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9417_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20831,plain,
% 23.28/23.50      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3259]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3257,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9416_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20827,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3257]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3255,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9415_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20823,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3255]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3253,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9414_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20819,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3253]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3251,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9413_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20815,plain,
% 23.28/23.50      ( ~ class_Orderings_Olinorder(X0)
% 23.28/23.50      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3251]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3249,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9412_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20811,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3249]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3246,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(X1,c_0,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9411_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20805,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(X1,c_0,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3246]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3243,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(c_0,X1,X0) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9410_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20799,plain,
% 23.28/23.50      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Ofield(X0)
% 23.28/23.50      | c_divide(c_0,X1,X0) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3243]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3241,plain,
% 23.28/23.50      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.28/23.50      | c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1)) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9409_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20795,plain,
% 23.28/23.50      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.28/23.50      | c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1)) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3241]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20796,plain,
% 23.28/23.50      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 23.28/23.50      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20795]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3239,plain,
% 23.28/23.50      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.28/23.50      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1)) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9408_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20791,plain,
% 23.28/23.50      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.28/23.50      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1)) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3239]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20792,plain,
% 23.28/23.50      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 23.28/23.50      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20791]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3237,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9407_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20787,plain,
% 23.28/23.50      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3237]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3231,plain,
% 23.28/23.50      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9404_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20775,plain,
% 23.28/23.50      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3231]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3229,plain,
% 23.28/23.50      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9403_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20771,plain,
% 23.28/23.50      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3229]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3218,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9400_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20749,plain,
% 23.28/23.50      ( ~ class_Numeral_Onumber__ring(X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3218]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20750,plain,
% 23.28/23.50      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 23.28/23.50      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.28/23.50      | ~ class_Numeral_Onumber__ring(X0) ),
% 23.28/23.50      inference(rewriting,[status(thm)],[c_20749]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3216,plain,
% 23.28/23.50      ( c_lessequals(X0,X1,tc_nat)
% 23.28/23.50      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9399_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20745,plain,
% 23.28/23.50      ( c_lessequals(X0,X1,tc_nat)
% 23.28/23.50      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3216]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3214,plain,
% 23.28/23.50      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.28/23.50      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9398_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20741,plain,
% 23.28/23.50      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.28/23.50      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3214]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3212,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9397_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20737,plain,
% 23.28/23.50      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.50      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3212]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3210,plain,
% 23.28/23.50      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9396_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20733,plain,
% 23.28/23.50      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3210]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3205,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9394_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20723,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3205]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3203,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 23.28/23.50      | c_List_Odistinct(X0,X1) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9393_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20719,plain,
% 23.28/23.50      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 23.28/23.50      | c_List_Odistinct(X0,X1) ),
% 23.28/23.50      inference(copy,[status(esa)],[c_3203]) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_3201,plain,
% 23.28/23.50      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.50      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 23.28/23.50      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9392_0) ).
% 23.28/23.50  
% 23.28/23.50  cnf(c_20715,plain,
% 23.28/23.50      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.51      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3201]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3199,plain,
% 23.28/23.51      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9391_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20711,plain,
% 23.28/23.51      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3199]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3197,plain,
% 23.28/23.51      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9390_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20707,plain,
% 23.28/23.51      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3197]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3195,plain,
% 23.28/23.51      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9389_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20703,plain,
% 23.28/23.51      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3195]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3193,plain,
% 23.28/23.51      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9388_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20699,plain,
% 23.28/23.51      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3193]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3191,plain,
% 23.28/23.51      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9387_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20695,plain,
% 23.28/23.51      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3191]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3189,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9386_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20691,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3189]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3187,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9385_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20687,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3187]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3185,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.51      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9384_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20683,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.51      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3185]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20684,plain,
% 23.28/23.51      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 23.28/23.51      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20683]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3183,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9383_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20679,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3183]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20680,plain,
% 23.28/23.51      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 23.28/23.51      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20679]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3181,plain,
% 23.28/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.51      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9382_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20675,plain,
% 23.28/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.51      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3181]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3179,plain,
% 23.28/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.51      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9381_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20671,plain,
% 23.28/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.28/23.51      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3179]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3177,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.51      | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9380_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20667,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.28/23.51      | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3177]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3175,plain,
% 23.28/23.51      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9379_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20663,plain,
% 23.28/23.51      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3175]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3173,plain,
% 23.28/23.51      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9378_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20659,plain,
% 23.28/23.51      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3173]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3171,plain,
% 23.28/23.51      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9377_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20655,plain,
% 23.28/23.51      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3171]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3169,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9376_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20651,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3169]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20652,plain,
% 23.28/23.51      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 23.28/23.51      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20651]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3167,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9375_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20647,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.28/23.51      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3167]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20648,plain,
% 23.28/23.51      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 23.28/23.51      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20647]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3165,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.51      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9374_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20643,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.28/23.51      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3165]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20644,plain,
% 23.28/23.51      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 23.28/23.51      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20643]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3163,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9373_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20639,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3163]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20640,plain,
% 23.28/23.51      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 23.28/23.51      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20639]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3161,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.51      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9372_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20635,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.28/23.51      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3161]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20636,plain,
% 23.28/23.51      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 23.28/23.51      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20635]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3159,plain,
% 23.28/23.51      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9371_1) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20631,plain,
% 23.28/23.51      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3159]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3158,plain,
% 23.28/23.51      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9371_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20629,plain,
% 23.28/23.51      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3158]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3156,plain,
% 23.28/23.51      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9370_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20625,plain,
% 23.28/23.51      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3156]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3154,plain,
% 23.28/23.51      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9369_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20621,plain,
% 23.28/23.51      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3154]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3152,plain,
% 23.28/23.51      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9368_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20617,plain,
% 23.28/23.51      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3152]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3150,plain,
% 23.28/23.51      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9367_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20613,plain,
% 23.28/23.51      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3150]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3148,plain,
% 23.28/23.51      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 23.28/23.51      | X1 = c_List_Olist_ONil ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9366_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20609,plain,
% 23.28/23.51      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 23.28/23.51      | X1 = c_List_Olist_ONil ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3148]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3142,plain,
% 23.28/23.51      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9363_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20597,plain,
% 23.28/23.51      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3142]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3140,plain,
% 23.28/23.51      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9362_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20593,plain,
% 23.28/23.51      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3140]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3136,plain,
% 23.28/23.51      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 23.28/23.51      | X0 = c_emptyset ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9360_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20585,plain,
% 23.28/23.51      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 23.28/23.51      | X0 = c_emptyset ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3136]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3131,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.51      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9358_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20575,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.51      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3131]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3129,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.51      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9357_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20571,plain,
% 23.28/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.28/23.51      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3129]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3127,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9356_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20567,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3127]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20568,plain,
% 23.28/23.51      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20567]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3125,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | ~ c_lessequals(c_1,c_0,X0) ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9355_0) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20563,plain,
% 23.28/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.28/23.51      | ~ c_lessequals(c_1,c_0,X0) ),
% 23.28/23.51      inference(copy,[status(esa)],[c_3125]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_20564,plain,
% 23.28/23.51      ( ~ c_lessequals(c_1,c_0,X0)
% 23.28/23.51      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 23.28/23.51      inference(rewriting,[status(thm)],[c_20563]) ).
% 23.28/23.51  
% 23.28/23.51  cnf(c_3119,plain,
% 23.28/23.51      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X1 = c_1 ),
% 23.28/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9352_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20551,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X1 = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3119]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3117,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X0 = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9351_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20547,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X0 = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3117]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3111,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9348_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20535,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3111]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3109,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9347_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20531,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3109]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3106,plain,
% 23.33/23.51      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 23.33/23.51      | X0 = c_0
% 23.33/23.51      | X1 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9346_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20525,plain,
% 23.33/23.51      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 23.33/23.51      | X0 = c_0
% 23.33/23.51      | X1 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3106]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3103,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9345_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20519,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3103]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20520,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20519]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3100,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9344_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20513,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3100]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20514,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20513]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3098,plain,
% 23.33/23.51      ( ~ c_less(X0,c_Suc(c_0),tc_nat) | X0 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9343_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20509,plain,
% 23.33/23.51      ( ~ c_less(X0,c_Suc(c_0),tc_nat) | X0 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3098]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3096,plain,
% 23.33/23.51      ( c_List_Oremdups(X0,X1) != X0
% 23.33/23.51      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9342_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20505,plain,
% 23.33/23.51      ( c_List_Oremdups(X0,X1) != X0
% 23.33/23.51      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3096]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20506,plain,
% 23.33/23.51      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oremdups(X0,X1) != X0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20505]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3094,plain,
% 23.33/23.51      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9341_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20501,plain,
% 23.33/23.51      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3094]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3088,plain,
% 23.33/23.51      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9339_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20489,plain,
% 23.33/23.51      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3088]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20490,plain,
% 23.33/23.51      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20489]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3086,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) | X0 = c_Suc(c_0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9338_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20485,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) | X0 = c_Suc(c_0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3086]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3084,plain,
% 23.33/23.51      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9337_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20481,plain,
% 23.33/23.51      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3084]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3082,plain,
% 23.33/23.51      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9336_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20477,plain,
% 23.33/23.51      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3082]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3080,plain,
% 23.33/23.51      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9335_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20473,plain,
% 23.33/23.51      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3080]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20474,plain,
% 23.33/23.51      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20473]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3074,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9333_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20461,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3074]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3069,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9331_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20451,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3069]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3066,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_minus(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = X2 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9330_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20445,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_minus(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = X2 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3066]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3063,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9329_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20439,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3063]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20440,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 23.33/23.51      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20439]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3060,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9328_1) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20433,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3060]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3059,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != c_0
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9328_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20431,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != c_0
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3059]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3051,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != X2
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9326_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20415,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != X2
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3051]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3043,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != X1
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9324_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20399,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_times(X1,X2,X0) != X1
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3043]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3035,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9321_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20383,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3035]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3033,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9320_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20379,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3033]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3031,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9319_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20375,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3031]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3019,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_uminus(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 23.33/23.51      | c_uminus(c_Numeral_Onumber__of(X2,X0),X0) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9316_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20351,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_uminus(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 23.33/23.51      | c_uminus(c_Numeral_Onumber__of(X2,X0),X0) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3019]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20352,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 23.33/23.51      | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20351]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3015,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 23.33/23.51      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9315_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20343,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 23.33/23.51      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3015]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3010,plain,
% 23.33/23.51      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9313_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20333,plain,
% 23.33/23.51      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3010]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20334,plain,
% 23.33/23.51      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20333]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3008,plain,
% 23.33/23.51      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Union(X0,X1) = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9312_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20329,plain,
% 23.33/23.51      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Union(X0,X1) = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3008]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3006,plain,
% 23.33/23.51      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Union(X0,X1) = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9311_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20325,plain,
% 23.33/23.51      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Union(X0,X1) = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3006]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3004,plain,
% 23.33/23.51      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Inter(X0,X1) = c_UNIV ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9310_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20321,plain,
% 23.33/23.51      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Inter(X0,X1) = c_UNIV ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3004]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_3002,plain,
% 23.33/23.51      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Inter(X0,X1) = c_UNIV ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9309_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20317,plain,
% 23.33/23.51      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 23.33/23.51      | c_Inter(X0,X1) = c_UNIV ),
% 23.33/23.51      inference(copy,[status(esa)],[c_3002]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2998,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_Nat_Opower(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9308_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20309,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_Nat_Opower(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2998]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2982,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_1
% 23.33/23.51      | X1 = X2 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9304_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20277,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_1
% 23.33/23.51      | X1 = X2 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2982]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2978,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9303_1) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20269,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_0
% 23.33/23.51      | X1 = c_0
% 23.33/23.51      | X2 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2978]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2977,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_0
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9303_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20267,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,X2,X0) != c_0
% 23.33/23.51      | X2 = c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2977]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2974,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 23.33/23.51      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9302_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20261,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 23.33/23.51      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2974]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2972,plain,
% 23.33/23.51      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 23.33/23.51      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9301_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20257,plain,
% 23.33/23.51      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 23.33/23.51      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2972]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2955,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.33/23.51      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9295_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20223,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.33/23.51      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2955]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2953,plain,
% 23.33/23.51      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9294_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20219,plain,
% 23.33/23.51      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2953]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2951,plain,
% 23.33/23.51      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9293_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20215,plain,
% 23.33/23.51      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2951]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2949,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9292_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20211,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2949]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20212,plain,
% 23.33/23.51      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20211]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2935,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9288_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20183,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2935]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2933,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9287_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20179,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2933]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2931,plain,
% 23.33/23.51      ( ~ class_Orderings_Oorder(X0)
% 23.33/23.51      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9286_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20175,plain,
% 23.33/23.51      ( ~ class_Orderings_Oorder(X0)
% 23.33/23.51      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2931]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2920,plain,
% 23.33/23.51      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.33/23.51      | c_Finite__Set_Ocard(X0,X1) != c_0
% 23.33/23.51      | X0 = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9283_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20153,plain,
% 23.33/23.51      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.33/23.51      | c_Finite__Set_Ocard(X0,X1) != c_0
% 23.33/23.51      | X0 = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2920]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2918,plain,
% 23.33/23.51      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9282_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20149,plain,
% 23.33/23.51      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2918]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2913,plain,
% 23.33/23.51      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oremdups(X0,X1) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9280_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20139,plain,
% 23.33/23.51      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oremdups(X0,X1) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2913]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2907,plain,
% 23.33/23.51      ( ~ c_in(X0,X1,tc_set(X2))
% 23.33/23.51      | c_Union(X1,X2) != c_emptyset
% 23.33/23.51      | X0 = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9278_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20127,plain,
% 23.33/23.51      ( ~ c_in(X0,X1,tc_set(X2))
% 23.33/23.51      | c_Union(X1,X2) != c_emptyset
% 23.33/23.51      | X0 = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2907]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2901,plain,
% 23.33/23.51      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9276_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20115,plain,
% 23.33/23.51      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2901]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2898,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9275_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20109,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2898]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2895,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9274_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20103,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2895]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2889,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9272_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20091,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2889]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2887,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9271_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20087,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2887]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2885,plain,
% 23.33/23.51      ( X0 = c_0 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9270_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20083,plain,
% 23.33/23.51      ( X0 = c_0 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2885]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20084,plain,
% 23.33/23.51      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20083]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2883,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9269_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20079,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2883]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2881,plain,
% 23.33/23.51      ( X0 = c_0 | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9268_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20075,plain,
% 23.33/23.51      ( X0 = c_0 | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2881]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20076,plain,
% 23.33/23.51      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20075]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2869,plain,
% 23.33/23.51      ( ~ class_Orderings_Olinorder(X0)
% 23.33/23.51      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9265_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20051,plain,
% 23.33/23.51      ( ~ class_Orderings_Olinorder(X0)
% 23.33/23.51      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2869]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2867,plain,
% 23.33/23.51      ( ~ class_Orderings_Olinorder(X0)
% 23.33/23.51      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9264_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20047,plain,
% 23.33/23.51      ( ~ class_Orderings_Olinorder(X0)
% 23.33/23.51      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2867]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2865,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.33/23.51      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9263_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20043,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.33/23.51      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2865]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20044,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 23.33/23.51      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20043]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2863,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.33/23.51      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9262_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20039,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.33/23.51      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2863]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20040,plain,
% 23.33/23.51      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 23.33/23.51      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20039]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2861,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.51      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9261_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20035,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.51      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2861]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20036,plain,
% 23.33/23.51      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20035]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2855,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9259_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20023,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2855]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2849,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9257_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20011,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2849]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20012,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_20011]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2847,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9256_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20007,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2847]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2845,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9255_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_20003,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2845]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2842,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.51      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9254_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19997,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.51      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2842]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2839,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.51      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9253_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19991,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.51      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2839]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2837,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olast(c_append(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9252_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19987,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olast(c_append(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2837]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19988,plain,
% 23.33/23.51      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 23.33/23.51      | X1 = c_List_Olist_ONil ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19987]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2835,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olast(c_List_Olist_OCons(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9251_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19983,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Olast(c_List_Olist_OCons(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2835]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19984,plain,
% 23.33/23.51      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 23.33/23.51      | X1 = c_List_Olist_ONil ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19983]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2833,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9250_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19979,plain,
% 23.33/23.51      ( X0 = c_List_Olist_ONil
% 23.33/23.51      | c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2833]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19980,plain,
% 23.33/23.51      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 23.33/23.51      | X0 = c_List_Olist_ONil ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19979]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2831,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9249_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19975,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2831]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19976,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19975]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2829,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9248_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19971,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2829]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19972,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19971]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2827,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_times(X1,X0,tc_nat),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9247_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19967,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_times(X1,X0,tc_nat),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2827]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19968,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19967]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2825,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9246_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19963,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2825]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19964,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19963]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2823,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9245_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19959,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2823]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2821,plain,
% 23.33/23.51      ( c_minus(X0,X1,tc_nat) != c_0 | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9244_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19955,plain,
% 23.33/23.51      ( c_minus(X0,X1,tc_nat) != c_0 | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2821]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19956,plain,
% 23.33/23.51      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19955]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2819,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9243_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19951,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2819]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2817,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9242_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19947,plain,
% 23.33/23.51      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2817]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19948,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19947]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2811,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9240_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19935,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2811]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2809,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9239_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19931,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2809]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2807,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9238_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19927,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2807]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2803,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9237_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19919,plain,
% 23.33/23.51      ( ~ class_Power_Orecpower(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2803]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2801,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9236_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19915,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2801]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19916,plain,
% 23.33/23.51      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 23.33/23.51      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19915]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2799,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_nat)
% 23.33/23.51      | c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9235_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19911,plain,
% 23.33/23.51      ( ~ c_less(c_0,X0,tc_nat)
% 23.33/23.51      | c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2799]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19912,plain,
% 23.33/23.51      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_less(c_0,X0,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19911]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2797,plain,
% 23.33/23.51      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9234_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19907,plain,
% 23.33/23.51      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2797]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2795,plain,
% 23.33/23.51      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9233_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19903,plain,
% 23.33/23.51      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 23.33/23.51      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2795]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2792,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9232_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19897,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2792]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19898,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19897]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2790,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9231_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19893,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.51      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2790]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2788,plain,
% 23.33/23.51      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 23.33/23.51      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9230_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19889,plain,
% 23.33/23.51      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 23.33/23.51      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2788]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2787,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9229_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19887,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2787]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2784,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9228_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19881,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2784]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2781,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9227_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19875,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2781]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2777,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 23.33/23.51      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9226_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19867,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 23.33/23.51      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2777]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2775,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,X0,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9225_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19863,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,X0,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2775]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2773,plain,
% 23.33/23.51      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 23.33/23.51      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9224_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19859,plain,
% 23.33/23.51      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 23.33/23.51      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2773]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19860,plain,
% 23.33/23.51      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 23.33/23.51      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19859]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2771,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Otake(X2,X0,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9223_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19855,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Otake(X2,X0,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2771]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19856,plain,
% 23.33/23.51      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 23.33/23.51      | ~ c_List_Odistinct(X1,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19855]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2769,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Osublist(X0,X2,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9222_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19851,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Osublist(X0,X2,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2769]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19852,plain,
% 23.33/23.51      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 23.33/23.51      | ~ c_List_Odistinct(X0,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19851]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2767,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9221_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19847,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2767]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19848,plain,
% 23.33/23.51      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 23.33/23.51      | ~ c_List_Odistinct(X1,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19847]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2765,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Oremove1(X2,X0,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9220_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19843,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Oremove1(X2,X0,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2765]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19844,plain,
% 23.33/23.51      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 23.33/23.51      | ~ c_List_Odistinct(X1,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19843]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2763,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Odrop(X2,X0,X1),X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9219_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19839,plain,
% 23.33/23.51      ( ~ c_List_Odistinct(X0,X1)
% 23.33/23.51      | c_List_Odistinct(c_List_Odrop(X2,X0,X1),X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2763]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19840,plain,
% 23.33/23.51      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 23.33/23.51      | ~ c_List_Odistinct(X1,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19839]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2761,plain,
% 23.33/23.51      ( ~ c_less(c_1,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9218_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19835,plain,
% 23.33/23.51      ( ~ c_less(c_1,X0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2761]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2755,plain,
% 23.33/23.51      ( c_in(X0,X1,X2) | c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9216_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19823,plain,
% 23.33/23.51      ( c_in(X0,X1,X2) | c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2755]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19824,plain,
% 23.33/23.51      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19823]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2740,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9211_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19793,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat) | c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2740]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19794,plain,
% 23.33/23.51      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19793]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2738,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.33/23.51      | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9210_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19789,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.33/23.51      | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2738]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19790,plain,
% 23.33/23.51      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 23.33/23.51      | ~ c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19789]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2736,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat)
% 23.33/23.51      | c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9209_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19785,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat)
% 23.33/23.51      | c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2736]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19786,plain,
% 23.33/23.51      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_less(X0,X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19785]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2734,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.33/23.51      | c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9208_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19781,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.33/23.51      | c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2734]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19782,plain,
% 23.33/23.51      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19781]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2729,plain,
% 23.33/23.51      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 23.33/23.51      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9206_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19771,plain,
% 23.33/23.51      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 23.33/23.51      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2729]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19772,plain,
% 23.33/23.51      ( c_less(c_1,X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19771]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2727,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9205_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19767,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2727]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19768,plain,
% 23.33/23.51      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19767]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2721,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9203_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19755,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2721]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2719,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9202_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19751,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2719]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2717,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 23.33/23.51      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9201_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19747,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 23.33/23.51      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2717]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19748,plain,
% 23.33/23.51      ( c_less(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19747]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2715,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9200_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19743,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2715]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2713,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9199_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19739,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2713]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2711,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9198_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19735,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2711]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2709,plain,
% 23.33/23.51      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9197_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19731,plain,
% 23.33/23.51      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2709]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2707,plain,
% 23.33/23.51      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 23.33/23.51      | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9196_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19727,plain,
% 23.33/23.51      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 23.33/23.51      | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2707]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2705,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 23.33/23.51      | c_less(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9195_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19723,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 23.33/23.51      | c_less(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2705]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2703,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | c_less(X0,X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9194_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19719,plain,
% 23.33/23.51      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | c_less(X0,X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2703]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2701,plain,
% 23.33/23.51      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9193_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19715,plain,
% 23.33/23.51      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(X0,X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2701]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2699,plain,
% 23.33/23.51      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 23.33/23.51      | c_List_Orotate1(X0,X1) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9192_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19711,plain,
% 23.33/23.51      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 23.33/23.51      | c_List_Orotate1(X0,X1) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2699]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2697,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9191_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19707,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2697]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19708,plain,
% 23.33/23.51      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19707]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2695,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.33/23.51      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9190_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19703,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.33/23.51      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2695]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2693,plain,
% 23.33/23.51      ( c_minus(X0,X1,tc_set(X2)) != c_emptyset
% 23.33/23.51      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9189_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19699,plain,
% 23.33/23.51      ( c_minus(X0,X1,tc_set(X2)) != c_emptyset
% 23.33/23.51      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2693]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19700,plain,
% 23.33/23.51      ( c_lessequals(X0,X1,tc_set(X2))
% 23.33/23.51      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19699]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2691,plain,
% 23.33/23.51      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9188_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19695,plain,
% 23.33/23.51      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2691]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2690,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9187_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19693,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2690]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2687,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9186_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19687,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_nat)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2687]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2684,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9185_2) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19681,plain,
% 23.33/23.51      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2684]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2679,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9184_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19671,plain,
% 23.33/23.51      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2679]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2677,plain,
% 23.33/23.51      ( X0 = c_0
% 23.33/23.51      | c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9183_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19667,plain,
% 23.33/23.51      ( X0 = c_0
% 23.33/23.51      | c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2677]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19668,plain,
% 23.33/23.51      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 23.33/23.51      | X0 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19667]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2675,plain,
% 23.33/23.51      ( X0 = c_0
% 23.33/23.51      | c_div(c_times(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9182_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19663,plain,
% 23.33/23.51      ( X0 = c_0
% 23.33/23.51      | c_div(c_times(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2675]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19664,plain,
% 23.33/23.51      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 23.33/23.51      | X1 = c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19663]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2673,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 23.33/23.51      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9181_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19659,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 23.33/23.51      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2673]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2671,plain,
% 23.33/23.51      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 23.33/23.51      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9180_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19655,plain,
% 23.33/23.51      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 23.33/23.51      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2671]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2669,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9179_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19651,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2669]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19652,plain,
% 23.33/23.51      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19651]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2667,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9178_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19647,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2667]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19648,plain,
% 23.33/23.51      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19647]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2665,plain,
% 23.33/23.51      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 23.33/23.51      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9177_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19643,plain,
% 23.33/23.51      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 23.33/23.51      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2665]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19644,plain,
% 23.33/23.51      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 23.33/23.51      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19643]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2663,plain,
% 23.33/23.51      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 23.33/23.51      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9176_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19639,plain,
% 23.33/23.51      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 23.33/23.51      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2663]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19640,plain,
% 23.33/23.51      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 23.33/23.51      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19639]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2657,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9174_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19627,plain,
% 23.33/23.51      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2657]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2655,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_minus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9173_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19623,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_minus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2655]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2653,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9172_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19619,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2653]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2651,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9171_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19615,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_plus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2651]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2649,plain,
% 23.33/23.51      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.33/23.51      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9170_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19611,plain,
% 23.33/23.51      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.33/23.51      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2649]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2645,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9169_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19603,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2645]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19604,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19603]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2641,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9168_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19595,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2641]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19596,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19595]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2639,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9167_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19591,plain,
% 23.33/23.51      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2639]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2636,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.51      | ~ c_less(c_0,X1,tc_nat)
% 23.33/23.51      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9166_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19585,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.51      | ~ c_less(c_0,X1,tc_nat)
% 23.33/23.51      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2636]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19586,plain,
% 23.33/23.51      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 23.33/23.51      | ~ c_less(c_0,X0,tc_nat)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19585]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2633,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_less(X1,c_0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9165_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19579,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_less(X1,c_0,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2633]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19580,plain,
% 23.33/23.51      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 23.33/23.51      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19579]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2630,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9164_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19573,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2630]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19574,plain,
% 23.33/23.51      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 23.33/23.51      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19573]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2627,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9163_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19567,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2627]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19568,plain,
% 23.33/23.51      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 23.33/23.51      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19567]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2624,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9162_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19561,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
% 23.33/23.51      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2624]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19562,plain,
% 23.33/23.51      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 23.33/23.51      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19561]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2622,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oring(X0)
% 23.33/23.51      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9161_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19557,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Oring(X0)
% 23.33/23.51      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2622]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2619,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9160_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19551,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2619]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19552,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.33/23.51      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19551]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2617,plain,
% 23.33/23.51      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9159_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19547,plain,
% 23.33/23.51      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2617]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2615,plain,
% 23.33/23.51      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9158_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19543,plain,
% 23.33/23.51      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2615]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2613,plain,
% 23.33/23.51      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9157_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19539,plain,
% 23.33/23.51      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2613]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2605,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9155_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19523,plain,
% 23.33/23.51      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0)
% 23.33/23.51      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2605]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19524,plain,
% 23.33/23.51      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 23.33/23.51      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 23.33/23.51      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 23.33/23.51      | ~ class_Numeral_Onumber__ring(X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19523]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2596,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.51      | ~ c_less(X1,c_0,X0)
% 23.33/23.51      | c_less(c_0,c_uminus(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9152_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19505,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.51      | ~ c_less(X1,c_0,X0)
% 23.33/23.51      | c_less(c_0,c_uminus(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2596]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19506,plain,
% 23.33/23.51      ( c_less(c_0,c_uminus(X0,X1),X1)
% 23.33/23.51      | ~ c_less(X0,c_0,X1)
% 23.33/23.51      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19505]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2593,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.51      | ~ c_lessequals(X1,c_0,X0)
% 23.33/23.51      | c_lessequals(c_0,c_uminus(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9151_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19499,plain,
% 23.33/23.51      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.51      | ~ c_lessequals(X1,c_0,X0)
% 23.33/23.51      | c_lessequals(c_0,c_uminus(X1,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2593]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19500,plain,
% 23.33/23.51      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 23.33/23.51      | ~ c_lessequals(X0,c_0,X1)
% 23.33/23.51      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19499]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2590,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X0 = X2 | X1 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9150_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19493,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X0 = X2 | X1 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2590]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19494,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19493]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2587,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X1 = X2 | X0 = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9149_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19487,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X1 = X2 | X0 = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2587]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19488,plain,
% 23.33/23.51      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19487]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2584,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.33/23.51      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.33/23.51      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9148_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19481,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.33/23.51      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.33/23.51      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2584]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19482,plain,
% 23.33/23.51      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 23.33/23.51      | ~ c_in(X0,c_IntDef_OInts,X1)
% 23.33/23.51      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19481]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2582,plain,
% 23.33/23.51      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9147_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19477,plain,
% 23.33/23.51      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2582]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2580,plain,
% 23.33/23.51      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9146_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19473,plain,
% 23.33/23.51      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2580]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2577,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9145_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19467,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2577]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2574,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9144_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19461,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2574]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2571,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9143_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19455,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2571]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2568,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9142_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19449,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2568]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2565,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9141_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19443,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2565]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2562,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9140_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19437,plain,
% 23.33/23.51      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.51      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.51      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2562]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2560,plain,
% 23.33/23.51      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9139_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19433,plain,
% 23.33/23.51      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2560]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2558,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9138_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19429,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2558]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2556,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9137_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19425,plain,
% 23.33/23.51      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.51      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2556]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2554,plain,
% 23.33/23.51      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9136_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19421,plain,
% 23.33/23.51      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2554]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2552,plain,
% 23.33/23.51      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9135_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19417,plain,
% 23.33/23.51      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2552]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2550,plain,
% 23.33/23.51      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9134_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19413,plain,
% 23.33/23.51      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2550]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2548,plain,
% 23.33/23.51      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9133_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19409,plain,
% 23.33/23.51      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2548]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2542,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9131_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19397,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2542]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2540,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 23.33/23.51      | X1 = X4 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9130_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19393,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 23.33/23.51      | X1 = X4 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2540]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2538,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9129_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19389,plain,
% 23.33/23.51      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2538]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2536,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9128_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19385,plain,
% 23.33/23.51      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2536]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2534,plain,
% 23.33/23.51      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9127_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19381,plain,
% 23.33/23.51      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2534]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2532,plain,
% 23.33/23.51      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9126_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19377,plain,
% 23.33/23.51      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2532]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2530,plain,
% 23.33/23.51      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9125_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19373,plain,
% 23.33/23.51      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 23.33/23.51      | X0 = X3 ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2530]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2528,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat)
% 23.33/23.51      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9124_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19369,plain,
% 23.33/23.51      ( ~ c_less(X0,X1,tc_nat)
% 23.33/23.51      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2528]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2525,plain,
% 23.33/23.51      ( ~ class_Orderings_Oord(X0)
% 23.33/23.51      | ~ c_less(X1,X2,X0)
% 23.33/23.51      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9123_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19363,plain,
% 23.33/23.51      ( ~ class_Orderings_Oord(X0)
% 23.33/23.51      | ~ c_less(X1,X2,X0)
% 23.33/23.51      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 23.33/23.51      inference(copy,[status(esa)],[c_2525]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19364,plain,
% 23.33/23.51      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 23.33/23.51      | ~ c_less(X0,X1,X2)
% 23.33/23.51      | ~ class_Orderings_Oord(X2) ),
% 23.33/23.51      inference(rewriting,[status(thm)],[c_19363]) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_2522,plain,
% 23.33/23.51      ( ~ class_Orderings_Oord(X0)
% 23.33/23.51      | ~ c_less(X1,X2,X0)
% 23.33/23.51      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 23.33/23.51      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9122_0) ).
% 23.33/23.51  
% 23.33/23.51  cnf(c_19357,plain,
% 23.33/23.51      ( ~ class_Orderings_Oord(X0)
% 23.33/23.51      | ~ c_less(X1,X2,X0)
% 23.33/23.51      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2522]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19358,plain,
% 23.33/23.52      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 23.33/23.52      | ~ c_less(X1,X0,X2)
% 23.33/23.52      | ~ class_Orderings_Oord(X2) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19357]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2519,plain,
% 23.33/23.52      ( ~ class_Orderings_Oord(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9121_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19351,plain,
% 23.33/23.52      ( ~ class_Orderings_Oord(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2519]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19352,plain,
% 23.33/23.52      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 23.33/23.52      | ~ c_lessequals(X0,X1,X2)
% 23.33/23.52      | ~ class_Orderings_Oord(X2) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19351]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2516,plain,
% 23.33/23.52      ( ~ class_Orderings_Oord(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9120_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19345,plain,
% 23.33/23.52      ( ~ class_Orderings_Oord(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2516]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19346,plain,
% 23.33/23.52      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 23.33/23.52      | ~ c_lessequals(X1,X0,X2)
% 23.33/23.52      | ~ class_Orderings_Oord(X2) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19345]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2513,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9119_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19339,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2513]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2511,plain,
% 23.33/23.52      ( X0 = c_0
% 23.33/23.52      | c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9118_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19335,plain,
% 23.33/23.52      ( X0 = c_0
% 23.33/23.52      | c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2511]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19336,plain,
% 23.33/23.52      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 23.33/23.52      | X0 = c_0 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19335]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2507,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_less(c_0,X1,X0)
% 23.33/23.52      | c_less(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9117_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19327,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_less(c_0,X1,X0)
% 23.33/23.52      | c_less(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2507]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19328,plain,
% 23.33/23.52      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 23.33/23.52      | ~ c_less(c_0,X0,X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19327]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2503,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.33/23.52      | c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9116_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19319,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.33/23.52      | c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2503]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19320,plain,
% 23.33/23.52      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 23.33/23.52      | ~ c_lessequals(X0,c_0,X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19319]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2499,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.33/23.52      | c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9115_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19311,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.33/23.52      | c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2499]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19312,plain,
% 23.33/23.52      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 23.33/23.52      | ~ c_lessequals(c_0,X0,X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19311]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2495,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_less(X1,c_0,X0)
% 23.33/23.52      | c_less(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9114_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19303,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.33/23.52      | ~ c_less(X1,c_0,X0)
% 23.33/23.52      | c_less(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2495]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19304,plain,
% 23.33/23.52      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 23.33/23.52      | ~ c_less(X0,c_0,X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19303]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2493,plain,
% 23.33/23.52      ( c_List_Odrop(X0,X1,X2) != c_List_Olist_ONil
% 23.33/23.52      | c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9113_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19299,plain,
% 23.33/23.52      ( c_List_Odrop(X0,X1,X2) != c_List_Olist_ONil
% 23.33/23.52      | c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2493]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19300,plain,
% 23.33/23.52      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.33/23.52      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19299]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2491,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | c_minus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9112_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19295,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | c_minus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2491]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2487,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_times(X1,c_divide(X2,X1,X0),X0) = X2 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9111_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19287,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_times(X1,c_divide(X2,X1,X0),X0) = X2 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2487]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19288,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19287]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2483,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_times(c_divide(X2,X1,X0),X1,X0) = X2 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9110_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19279,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_times(c_divide(X2,X1,X0),X1,X0) = X2 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2483]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19280,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19279]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2479,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_divide(c_times(X2,X1,X0),X1,X0) = X2 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9109_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19271,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_divide(c_times(X2,X1,X0),X1,X0) = X2 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2479]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19272,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19271]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2475,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_divide(c_times(X1,X2,X0),X1,X0) = X2 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9108_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19263,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | c_divide(c_times(X1,X2,X0),X1,X0) = X2 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2475]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19264,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19263]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2469,plain,
% 23.33/23.52      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 23.33/23.52      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 23.33/23.52      | X0 = c_List_Olist_ONil ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9106_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19251,plain,
% 23.33/23.52      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 23.33/23.52      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 23.33/23.52      | X0 = c_List_Olist_ONil ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2469]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2466,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.33/23.52      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 23.33/23.52      | X1 = X3 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9105_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19245,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.33/23.52      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 23.33/23.52      | X1 = X3 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2466]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2463,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.33/23.52      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 23.33/23.52      | X2 = X3 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9104_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19239,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 23.33/23.52      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 23.33/23.52      | X2 = X3 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2463]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2459,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 23.33/23.52      | X1 = X3
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9103_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19231,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 23.33/23.52      | X1 = X3
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2459]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19232,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 23.33/23.52      | X2 = c_0
% 23.33/23.52      | X1 = X3 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19231]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2455,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 23.33/23.52      | X2 = X3
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9102_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19223,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 23.33/23.52      | X2 = X3
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2455]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19224,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | X2 = X3 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19223]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2453,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.52      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9101_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19219,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.33/23.52      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2453]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2451,plain,
% 23.33/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9100_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19215,plain,
% 23.33/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2451]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19216,plain,
% 23.33/23.52      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19215]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2425,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_less(c_uminus(X1,X0),c_0,X0)
% 23.33/23.52      | c_less(c_0,X1,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9092_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19163,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_less(c_uminus(X1,X0),c_0,X0)
% 23.33/23.52      | c_less(c_0,X1,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2425]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19164,plain,
% 23.33/23.52      ( c_less(c_0,X0,X1)
% 23.33/23.52      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19163]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2422,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0)
% 23.33/23.52      | c_lessequals(c_0,X1,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9091_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19157,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0)
% 23.33/23.52      | c_lessequals(c_0,X1,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2422]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19158,plain,
% 23.33/23.52      ( c_lessequals(c_0,X0,X1)
% 23.33/23.52      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19157]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2413,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.33/23.52      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9088_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19139,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.33/23.52      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2413]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2411,plain,
% 23.33/23.52      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.52      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9087_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19135,plain,
% 23.33/23.52      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.52      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2411]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2390,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 23.33/23.52      | X1 = X3
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9081_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19093,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 23.33/23.52      | X1 = X3
% 23.33/23.52      | X2 = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2390]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19094,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 23.33/23.52      | X2 = c_0
% 23.33/23.52      | X1 = X3 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19093]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2385,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 23.33/23.52      | X2 = X3
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9080_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19083,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 23.33/23.52      | X2 = X3
% 23.33/23.52      | X1 = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2385]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19084,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 23.33/23.52      | X1 = c_0
% 23.33/23.52      | X2 = X3 ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19083]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2382,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9079_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19077,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.33/23.52      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2382]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2376,plain,
% 23.33/23.52      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.33/23.52      | c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9077_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19065,plain,
% 23.33/23.52      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.33/23.52      | c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2376]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19066,plain,
% 23.33/23.52      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.33/23.52      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19065]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2374,plain,
% 23.33/23.52      ( ~ c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9076_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19061,plain,
% 23.33/23.52      ( ~ c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2374]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19062,plain,
% 23.33/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_19061]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2355,plain,
% 23.33/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.33/23.52      | ~ c_lessequals(X1,X0,tc_set(X2))
% 23.33/23.52      | X1 = X0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9071_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19023,plain,
% 23.33/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.33/23.52      | ~ c_lessequals(X1,X0,tc_set(X2))
% 23.33/23.52      | X1 = X0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2355]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2344,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.33/23.52      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9068_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_19001,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.33/23.52      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2344]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2342,plain,
% 23.33/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9067_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18997,plain,
% 23.33/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.33/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2342]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2340,plain,
% 23.33/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 23.33/23.52      | c_Parity_Oeven(X0,tc_nat) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9066_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18993,plain,
% 23.33/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 23.33/23.52      | c_Parity_Oeven(X0,tc_nat) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2340]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2338,plain,
% 23.33/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9065_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18989,plain,
% 23.33/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2338]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2336,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 23.33/23.52      | c_List_Orotate(X2,X0,X1) = X0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9064_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18985,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 23.33/23.52      | c_List_Orotate(X2,X0,X1) = X0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2336]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2330,plain,
% 23.33/23.52      ( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9062_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18973,plain,
% 23.33/23.52      ( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2330]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2327,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.52      | ~ c_less(X1,X2,tc_nat)
% 23.33/23.52      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9061_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18967,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.52      | ~ c_less(X1,X2,tc_nat)
% 23.33/23.52      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2327]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18968,plain,
% 23.33/23.52      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 23.33/23.52      | ~ c_less(X0,X2,tc_nat)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18967]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2324,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,tc_nat)
% 23.33/23.52      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9060_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18961,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,tc_nat)
% 23.33/23.52      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2324]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18962,plain,
% 23.33/23.52      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 23.33/23.52      | ~ c_lessequals(X0,X2,tc_nat)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18961]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2321,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | ~ c_less(X1,X2,tc_IntDef_Oint)
% 23.33/23.52      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9059_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18955,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | ~ c_less(X1,X2,tc_IntDef_Oint)
% 23.33/23.52      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2321]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18956,plain,
% 23.33/23.52      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 23.33/23.52      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18955]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2318,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,tc_IntDef_Oint)
% 23.33/23.52      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9058_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18949,plain,
% 23.33/23.52      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,tc_IntDef_Oint)
% 23.33/23.52      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2318]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18950,plain,
% 23.33/23.52      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 23.33/23.52      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18949]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2314,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.33/23.52      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9057_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18941,plain,
% 23.33/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.33/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.33/23.52      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2314]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18942,plain,
% 23.33/23.52      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.33/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 23.33/23.52      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.33/23.52      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18941]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2312,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.33/23.52      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9056_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18937,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.33/23.52      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2312]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2310,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.33/23.52      | c_List_Otake(X2,X0,X1) = X0 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9055_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18933,plain,
% 23.33/23.52      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.33/23.52      | c_List_Otake(X2,X0,X1) = X0 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2310]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2308,plain,
% 23.33/23.52      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 23.33/23.52      | c_List_Orotate(X0,X1,X2) = X1 ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9054_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18929,plain,
% 23.33/23.52      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 23.33/23.52      | c_List_Orotate(X0,X1,X2) = X1 ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2308]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2301,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9052_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18915,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2301]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18916,plain,
% 23.33/23.52      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 23.33/23.52      | ~ c_lessequals(X0,X2,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18915]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2298,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9051_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18909,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2298]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18910,plain,
% 23.33/23.52      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 23.33/23.52      | ~ c_lessequals(X0,X2,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18909]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2295,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_less(X1,X2,X0)
% 23.33/23.52      | c_less(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9050_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18903,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_less(X1,X2,X0)
% 23.33/23.52      | c_less(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2295]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18904,plain,
% 23.33/23.52      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 23.33/23.52      | ~ c_less(X2,X0,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18903]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2292,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9049_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18897,plain,
% 23.33/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.33/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.33/23.52      | c_lessequals(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2292]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18898,plain,
% 23.33/23.52      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 23.33/23.52      | ~ c_lessequals(X2,X0,X1)
% 23.33/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18897]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2290,plain,
% 23.33/23.52      ( X0 = c_List_Olist_ONil
% 23.33/23.52      | c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1) ),
% 23.33/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9048_0) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18893,plain,
% 23.33/23.52      ( X0 = c_List_Olist_ONil
% 23.33/23.52      | c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1) ),
% 23.33/23.52      inference(copy,[status(esa)],[c_2290]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_18894,plain,
% 23.33/23.52      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 23.33/23.52      | X0 = c_List_Olist_ONil ),
% 23.33/23.52      inference(rewriting,[status(thm)],[c_18893]) ).
% 23.33/23.52  
% 23.33/23.52  cnf(c_2288,plain,
% 23.33/23.52      ( X0 = c_List_Olist_ONil
% 23.33/23.52      | c_List_Olist_OCons(X1,c_List_Obutlast(X0,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X1,X0,X2),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9047_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18889,plain,
% 23.35/23.52      ( X0 = c_List_Olist_ONil
% 23.35/23.52      | c_List_Olist_OCons(X1,c_List_Obutlast(X0,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X1,X0,X2),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2288]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18890,plain,
% 23.35/23.52      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.52      | X1 = c_List_Olist_ONil ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18889]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2286,plain,
% 23.35/23.52      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | X0 = c_0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9046_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18885,plain,
% 23.35/23.52      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | X0 = c_0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2286]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2283,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9045_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18879,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2283]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2280,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9044_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18873,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2280]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2276,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.52      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9043_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18865,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.52      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2276]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18866,plain,
% 23.35/23.52      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.52      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18865]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2274,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9042_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18861,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2274]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2272,plain,
% 23.35/23.52      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 23.35/23.52      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9041_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18857,plain,
% 23.35/23.52      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 23.35/23.52      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2272]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2270,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 23.35/23.52      | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9040_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18853,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 23.35/23.52      | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2270]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2268,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9039_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18849,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2268]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2266,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9038_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18845,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2266]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2264,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.52      | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9037_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18841,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.52      | c_List_Odistinct(X1,X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2264]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2262,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9036_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18837,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2262]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2259,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9035_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18831,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2259]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18832,plain,
% 23.35/23.52      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 23.35/23.52      | ~ c_lessequals(X0,X2,X1)
% 23.35/23.52      | ~ class_Orderings_Olinorder(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18831]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2256,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OgreaterThan(X2,X0),c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9034_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18825,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OgreaterThan(X2,X0),c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2256]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18826,plain,
% 23.35/23.52      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 23.35/23.52      | ~ c_lessequals(X2,X0,X1)
% 23.35/23.52      | ~ class_Orderings_Olinorder(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18825]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2253,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9033_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18819,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2253]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18820,plain,
% 23.35/23.52      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 23.35/23.52      | ~ c_lessequals(X0,X2,X1)
% 23.35/23.52      | ~ class_Orderings_Oorder(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18819]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2250,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OatLeast(X2,X0),c_SetInterval_OatLeast(X1,X0),tc_set(X0)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9032_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18813,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_SetInterval_OatLeast(X2,X0),c_SetInterval_OatLeast(X1,X0),tc_set(X0)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2250]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18814,plain,
% 23.35/23.52      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 23.35/23.52      | ~ c_lessequals(X2,X0,X1)
% 23.35/23.52      | ~ class_Orderings_Oorder(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18813]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2244,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.52      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9030_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18801,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.52      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2244]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2242,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.52      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9029_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18797,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.52      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2242]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2240,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9028_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18793,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2240]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2238,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9027_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18789,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2238]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2236,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9026_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18785,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2236]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2233,plain,
% 23.35/23.52      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9025_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18779,plain,
% 23.35/23.52      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2233]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2227,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9023_1) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18767,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2227]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2226,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9023_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18765,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2226]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2224,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9022_1) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18761,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2224]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2223,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9022_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18759,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X1,tc_nat)
% 23.35/23.52      | c_Parity_Oeven(X0,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2223]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2221,plain,
% 23.35/23.52      ( c_in(c_0,X0,tc_nat)
% 23.35/23.52      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9021_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18755,plain,
% 23.35/23.52      ( c_in(c_0,X0,tc_nat)
% 23.35/23.52      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2221]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2215,plain,
% 23.35/23.52      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.52      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9019_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18743,plain,
% 23.35/23.52      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.52      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2215]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2212,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9018_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18737,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2212]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2200,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(X1,c_uminus(c_1,X0),X0)
% 23.35/23.52      | c_less(c_1,c_uminus(X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9015_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18713,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(X1,c_uminus(c_1,X0),X0)
% 23.35/23.52      | c_less(c_1,c_uminus(X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2200]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18714,plain,
% 23.35/23.52      ( c_less(c_1,c_uminus(X0,X1),X1)
% 23.35/23.52      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 23.35/23.52      | ~ class_HOL_Oone(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18713]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2196,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0)
% 23.35/23.52      | c_lessequals(c_1,c_uminus(X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9014_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18705,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0)
% 23.35/23.52      | c_lessequals(c_1,c_uminus(X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2196]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18706,plain,
% 23.35/23.52      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 23.35/23.52      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 23.35/23.52      | ~ class_HOL_Oone(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18705]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2174,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | c_less(c_uminus(c_1,X0),X1,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9007_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18661,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | c_less(c_uminus(c_1,X0),X1,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2174]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18662,plain,
% 23.35/23.52      ( c_less(c_uminus(c_1,X0),X1,X0)
% 23.35/23.52      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ class_HOL_Oone(X0) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18661]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2170,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | c_lessequals(c_uminus(c_1,X0),X1,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9006_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18653,plain,
% 23.35/23.52      ( ~ class_HOL_Oone(X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | c_lessequals(c_uminus(c_1,X0),X1,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2170]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18654,plain,
% 23.35/23.52      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 23.35/23.52      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ class_HOL_Oone(X0) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18653]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2156,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_minus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_9002_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18625,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_minus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2156]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2147,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8999_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18607,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2147]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2141,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8997_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18595,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.52      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2141]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18596,plain,
% 23.35/23.52      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18595]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2139,plain,
% 23.35/23.52      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
% 23.35/23.52      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8996_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18591,plain,
% 23.35/23.52      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
% 23.35/23.52      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2139]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2137,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8995_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18587,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2137]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2135,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8994_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18583,plain,
% 23.35/23.52      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.52      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2135]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2129,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8992_1) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18571,plain,
% 23.35/23.52      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2129]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18572,plain,
% 23.35/23.52      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18571]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2125,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(X0,X1)
% 23.35/23.52      | c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1)
% 23.35/23.52      | c_in(X2,c_List_Oset(X0,X1),X1) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8991_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18563,plain,
% 23.35/23.52      ( ~ c_List_Odistinct(X0,X1)
% 23.35/23.52      | c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1)
% 23.35/23.52      | c_in(X2,c_List_Oset(X0,X1),X1) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2125]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18564,plain,
% 23.35/23.52      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.52      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.52      | ~ c_List_Odistinct(X1,X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18563]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2122,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,X0) != c_1
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8990_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18557,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,X0) != c_1
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2122]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18558,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.52      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18557]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2097,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8982_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18507,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2097]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2087,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | X1 = c_0
% 23.35/23.52      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8979_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18487,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | X1 = c_0
% 23.35/23.52      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2087]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18488,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 23.35/23.52      | X1 = c_0 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18487]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2083,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | X1 = c_0
% 23.35/23.52      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8978_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18479,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | X1 = c_0
% 23.35/23.52      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2083]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18480,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 23.35/23.52      | X1 = c_0 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18479]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2080,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8977_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18473,plain,
% 23.35/23.52      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2080]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18474,plain,
% 23.35/23.52      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18473]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2075,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.52      | c_times(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8975_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18463,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.52      | c_times(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2075]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2073,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.52      | c_plus(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8974_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18459,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.52      | c_plus(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2073]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2071,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_times(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8973_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18455,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_times(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2071]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2069,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_minus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8972_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18451,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_minus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2069]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2067,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_plus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8971_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18447,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.52      | c_plus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2067]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2065,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_times(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0),X2,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8970_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18443,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | c_times(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0),X2,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2065]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2063,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8969_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18439,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2063]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18440,plain,
% 23.35/23.52      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18439]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2061,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.35/23.52      | c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8968_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18435,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 23.35/23.52      | c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2061]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18436,plain,
% 23.35/23.52      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 23.35/23.52      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18435]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2059,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,tc_prod(X2,X2))
% 23.35/23.52      | c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8967_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18431,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,tc_prod(X2,X2))
% 23.35/23.52      | c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2059]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18432,plain,
% 23.35/23.52      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 23.35/23.52      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18431]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2057,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8966_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18427,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2057]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2055,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8965_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18423,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2055]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2053,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.35/23.52      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8964_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18419,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 23.35/23.52      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2053]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2051,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8963_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18415,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2051]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18416,plain,
% 23.35/23.52      ( c_less(c_0,X0,tc_nat)
% 23.35/23.52      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18415]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2049,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8962_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18411,plain,
% 23.35/23.52      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 23.35/23.52      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2049]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18412,plain,
% 23.35/23.52      ( c_less(c_0,X0,tc_nat)
% 23.35/23.52      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18411]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2046,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8961_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18405,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2046]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18406,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18405]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2044,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8960_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18401,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2044]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18402,plain,
% 23.35/23.52      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18401]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2042,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8959_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18397,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2042]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18398,plain,
% 23.35/23.52      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18397]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2040,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(c_0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8958_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18393,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(c_0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2040]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18394,plain,
% 23.35/23.52      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18393]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2038,plain,
% 23.35/23.52      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8957_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18389,plain,
% 23.35/23.52      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2038]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18390,plain,
% 23.35/23.52      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.35/23.52      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18389]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2035,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 23.35/23.52      | X0 = X2 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8956_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18383,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 23.35/23.52      | X0 = X2 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2035]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2032,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 23.35/23.52      | X3 = X4 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8955_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18377,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 23.35/23.52      | X3 = X4 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2032]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2029,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 23.35/23.52      | X3 = X4 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8954_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18371,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 23.35/23.52      | X3 = X4 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2029]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2026,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 23.35/23.52      | X0 = X2 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8953_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18365,plain,
% 23.35/23.52      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 23.35/23.52      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 23.35/23.52      | X0 = X2 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2026]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2022,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.52      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8952_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18357,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.52      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2022]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18358,plain,
% 23.35/23.52      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 23.35/23.52      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.52      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18357]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2020,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8951_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18353,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 23.35/23.52      | c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2020]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18354,plain,
% 23.35/23.52      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18353]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2018,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 23.35/23.52      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8950_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18349,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 23.35/23.52      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2018]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2016,plain,
% 23.35/23.52      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.52      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8949_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18345,plain,
% 23.35/23.52      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.52      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2016]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2014,plain,
% 23.35/23.52      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.52      | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8948_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18341,plain,
% 23.35/23.52      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.52      | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2014]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2012,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8947_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18337,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 23.35/23.52      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2012]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2010,plain,
% 23.35/23.52      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 23.35/23.52      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8946_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18333,plain,
% 23.35/23.52      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 23.35/23.52      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2010]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2008,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8945_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18329,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2008]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2006,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8944_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18325,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2006]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18326,plain,
% 23.35/23.52      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 23.35/23.52      | ~ c_less(c_0,X1,tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18325]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2004,plain,
% 23.35/23.52      ( X0 = c_List_Olist_ONil
% 23.35/23.52      | c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8943_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18321,plain,
% 23.35/23.52      ( X0 = c_List_Olist_ONil
% 23.35/23.52      | c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2004]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18322,plain,
% 23.35/23.52      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 23.35/23.52      | X0 = c_List_Olist_ONil ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18321]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2002,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8942_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18317,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2002]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_2000,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8941_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18313,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_2000]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1986,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_nat) | c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8936_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18285,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_nat) | c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1986]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18286,plain,
% 23.35/23.52      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18285]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1980,plain,
% 23.35/23.52      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8934_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18273,plain,
% 23.35/23.52      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1980]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1977,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8933_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18267,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.52      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1977]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1972,plain,
% 23.35/23.52      ( ~ c_lessequals(c_1,X0,tc_nat)
% 23.35/23.52      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8931_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18257,plain,
% 23.35/23.52      ( ~ c_lessequals(c_1,X0,tc_nat)
% 23.35/23.52      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1972]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1970,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8930_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18253,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1970]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1968,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8929_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18249,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1968]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1966,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8928_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18245,plain,
% 23.35/23.52      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.52      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1966]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1960,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.52      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8926_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18233,plain,
% 23.35/23.52      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.52      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1960]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1958,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_insert(X3,X1,X2),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8925_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18229,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_insert(X3,X1,X2),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1958]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18230,plain,
% 23.35/23.52      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18229]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1956,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X3,X1,X2),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8924_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18225,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X3,X1,X2),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1956]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18226,plain,
% 23.35/23.52      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18225]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1954,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X1,X3,X2),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8923_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18221,plain,
% 23.35/23.52      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X1,X3,X2),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1954]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18222,plain,
% 23.35/23.52      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18221]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1952,plain,
% 23.35/23.52      ( ~ c_List_Oop_Amem(X0,X1,X2)
% 23.35/23.52      | c_List_Oop_Amem(X0,c_List_Olist_OCons(X3,X1,X2),X2) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8922_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18217,plain,
% 23.35/23.52      ( ~ c_List_Oop_Amem(X0,X1,X2)
% 23.35/23.52      | c_List_Oop_Amem(X0,c_List_Olist_OCons(X3,X1,X2),X2) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1952]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18218,plain,
% 23.35/23.52      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 23.35/23.52      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18217]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1950,plain,
% 23.35/23.52      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.52      | c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8921_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18213,plain,
% 23.35/23.52      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.52      | c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1950]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18214,plain,
% 23.35/23.52      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 23.35/23.52      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18213]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1948,plain,
% 23.35/23.52      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.52      | c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8920_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18209,plain,
% 23.35/23.52      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.52      | c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1948]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18210,plain,
% 23.35/23.52      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 23.35/23.52      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18209]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1942,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8918_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18197,plain,
% 23.35/23.52      ( ~ class_Orderings_Oorder(X0)
% 23.35/23.52      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1942]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1940,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8917_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18193,plain,
% 23.35/23.52      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.52      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1940]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1937,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.35/23.52      | c_lessequals(c_0,c_plus(X1,X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8916_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18187,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.35/23.52      | c_lessequals(c_0,c_plus(X1,X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1937]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18188,plain,
% 23.35/23.52      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 23.35/23.52      | ~ c_lessequals(c_0,X0,X1)
% 23.35/23.52      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18187]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1934,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.35/23.52      | c_lessequals(c_plus(X1,X1,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8915_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18181,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.35/23.52      | c_lessequals(c_plus(X1,X1,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1934]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18182,plain,
% 23.35/23.52      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 23.35/23.52      | ~ c_lessequals(X0,c_0,X1)
% 23.35/23.52      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18181]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1930,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Nat_Opower(c_HOL_Oabs(X2,X0),c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8914_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18173,plain,
% 23.35/23.52      ( ~ class_Power_Orecpower(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Nat_Opower(c_HOL_Oabs(X2,X0),c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1930]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1928,plain,
% 23.35/23.52      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8913_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18169,plain,
% 23.35/23.52      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1928]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1925,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(X1,X2,X0)
% 23.35/23.52      | c_less(c_minus(X1,X2,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8912_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18163,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_less(X1,X2,X0)
% 23.35/23.52      | c_less(c_minus(X1,X2,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1925]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18164,plain,
% 23.35/23.52      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 23.35/23.52      | ~ c_less(X0,X1,X2)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18163]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1922,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8911_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18157,plain,
% 23.35/23.52      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.52      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.52      | c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1922]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18158,plain,
% 23.35/23.52      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 23.35/23.52      | ~ c_lessequals(X0,X1,X2)
% 23.35/23.52      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18157]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1920,plain,
% 23.35/23.52      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0
% 23.35/23.52      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8910_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18153,plain,
% 23.35/23.52      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0
% 23.35/23.52      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1920]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18154,plain,
% 23.35/23.52      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18153]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1918,plain,
% 23.35/23.52      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8909_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18149,plain,
% 23.35/23.52      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1918]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1916,plain,
% 23.35/23.52      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.52      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8908_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18145,plain,
% 23.35/23.52      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.52      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1916]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18146,plain,
% 23.35/23.52      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18145]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1914,plain,
% 23.35/23.52      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8907_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18141,plain,
% 23.35/23.52      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.52      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1914]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1910,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_less(c_0,X1,X0)
% 23.35/23.52      | c_less(c_0,c_divide(c_1,X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8906_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18133,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_less(c_0,X1,X0)
% 23.35/23.52      | c_less(c_0,c_divide(c_1,X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1910]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18134,plain,
% 23.35/23.52      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 23.35/23.52      | ~ c_less(c_0,X0,X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18133]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1906,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.35/23.52      | c_lessequals(c_0,c_divide(c_1,X1,X0),X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8905_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18125,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_lessequals(c_0,X1,X0)
% 23.35/23.52      | c_lessequals(c_0,c_divide(c_1,X1,X0),X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1906]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18126,plain,
% 23.35/23.52      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 23.35/23.52      | ~ c_lessequals(c_0,X0,X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18125]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1902,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_less(X1,c_0,X0)
% 23.35/23.52      | c_less(c_divide(c_1,X1,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8904_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18117,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_less(X1,c_0,X0)
% 23.35/23.52      | c_less(c_divide(c_1,X1,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1902]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18118,plain,
% 23.35/23.52      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 23.35/23.52      | ~ c_less(X0,c_0,X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18117]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1898,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.35/23.52      | c_lessequals(c_divide(c_1,X1,X0),c_0,X0) ),
% 23.35/23.52      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8903_0) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18109,plain,
% 23.35/23.52      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.52      | ~ c_lessequals(X1,c_0,X0)
% 23.35/23.52      | c_lessequals(c_divide(c_1,X1,X0),c_0,X0) ),
% 23.35/23.52      inference(copy,[status(esa)],[c_1898]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_18110,plain,
% 23.35/23.52      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 23.35/23.52      | ~ c_lessequals(X0,c_0,X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.52      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 23.35/23.52      inference(rewriting,[status(thm)],[c_18109]) ).
% 23.35/23.52  
% 23.35/23.52  cnf(c_1894,plain,
% 23.35/23.52      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.52      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.52      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.35/23.52      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8902_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18101,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.35/23.53      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1894]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18102,plain,
% 23.35/23.53      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18101]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1882,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | c_less(c_plus(X1,X1,X0),c_0,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8899_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18077,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | c_less(c_plus(X1,X1,X0),c_0,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1882]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18078,plain,
% 23.35/23.53      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 23.35/23.53      | ~ c_less(X0,c_0,X1)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X1)
% 23.35/23.53      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18077]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1880,plain,
% 23.35/23.53      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.53      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8898_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18073,plain,
% 23.35/23.53      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 23.35/23.53      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1880]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1878,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8897_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18069,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1878]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18070,plain,
% 23.35/23.53      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18069]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1876,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_inter(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8896_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18065,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_inter(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1876]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18066,plain,
% 23.35/23.53      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18065]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1874,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8895_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18061,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1874]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18062,plain,
% 23.35/23.53      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18061]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1869,plain,
% 23.35/23.53      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8893_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18051,plain,
% 23.35/23.53      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1869]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1866,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | ~ c_in(X1,X3,tc_set(X2))
% 23.35/23.53      | c_in(X0,c_Union(X3,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8892_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18045,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | ~ c_in(X1,X3,tc_set(X2))
% 23.35/23.53      | c_in(X0,c_Union(X3,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1866]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18046,plain,
% 23.35/23.53      ( c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | ~ c_in(X3,X1,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,X3,X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18045]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1864,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8891_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18041,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1864]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1860,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8890_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18033,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1860]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_18034,plain,
% 23.35/23.53      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_18033]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1833,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_minus(X0,X2,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8884_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17979,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_minus(X0,X2,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1833]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17980,plain,
% 23.35/23.53      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17979]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1827,plain,
% 23.35/23.53      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.35/23.53      | c_in(c_Main_Oin__listsI__1(X1,X0,X2),c_List_Oset(X0,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8882_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17967,plain,
% 23.35/23.53      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.35/23.53      | c_in(c_Main_Oin__listsI__1(X1,X0,X2),c_List_Oset(X0,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1827]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17968,plain,
% 23.35/23.53      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17967]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1801,plain,
% 23.35/23.53      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 23.35/23.53      | c_lessequals(X2,X0,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8876_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17915,plain,
% 23.35/23.53      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 23.35/23.53      | c_lessequals(X2,X0,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1801]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1798,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8875_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17909,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1798]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1795,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8874_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17903,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1795]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1793,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8873_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17899,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1793]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17900,plain,
% 23.35/23.53      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 23.35/23.53      | X0 = c_0 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17899]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1783,plain,
% 23.35/23.53      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.53      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8870_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17879,plain,
% 23.35/23.53      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.53      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1783]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1781,plain,
% 23.35/23.53      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8869_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17875,plain,
% 23.35/23.53      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1781]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1779,plain,
% 23.35/23.53      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8868_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17871,plain,
% 23.35/23.53      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1779]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1777,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8867_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17867,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1777]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17868,plain,
% 23.35/23.53      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17867]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1775,plain,
% 23.35/23.53      ( c_in(X0,X1,X2)
% 23.35/23.53      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8866_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17863,plain,
% 23.35/23.53      ( c_in(X0,X1,X2)
% 23.35/23.53      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1775]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1773,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8865_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17859,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1773]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1770,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.53      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 23.35/23.53      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8864_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17853,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.53      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 23.35/23.53      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1770]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17854,plain,
% 23.35/23.53      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17853]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1763,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8862_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17839,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1763]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1761,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8861_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17835,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1761]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1757,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8860_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17827,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1757]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17828,plain,
% 23.35/23.53      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17827]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1755,plain,
% 23.35/23.53      ( ~ c_in(c_0,X0,tc_nat)
% 23.35/23.53      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8859_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17823,plain,
% 23.35/23.53      ( ~ c_in(c_0,X0,tc_nat)
% 23.35/23.53      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1755]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1753,plain,
% 23.35/23.53      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 23.35/23.53      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8858_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17819,plain,
% 23.35/23.53      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 23.35/23.53      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1753]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1743,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8855_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17799,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1743]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17800,plain,
% 23.35/23.53      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17799]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1741,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8854_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17795,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 23.35/23.53      | c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1741]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17796,plain,
% 23.35/23.53      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17795]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1739,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_less(X0,X1,tc_IntDef_Oint) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8853_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17791,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_less(X0,X1,tc_IntDef_Oint) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1739]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1737,plain,
% 23.35/23.53      ( ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8852_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17787,plain,
% 23.35/23.53      ( ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1737]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17788,plain,
% 23.35/23.53      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 23.35/23.53      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17787]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1735,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8851_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17783,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1735]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1733,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8850_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17779,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1733]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1731,plain,
% 23.35/23.53      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8849_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17775,plain,
% 23.35/23.53      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1731]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1729,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.35/23.53      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8848_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17771,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 23.35/23.53      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1729]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1727,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8847_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17767,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1727]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1720,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(X2,X0,X1)
% 23.35/23.53      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8845_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17753,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(X2,X0,X1)
% 23.35/23.53      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1720]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1718,plain,
% 23.35/23.53      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.53      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8844_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17749,plain,
% 23.35/23.53      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.53      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1718]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1702,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8839_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17717,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1702]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17718,plain,
% 23.35/23.53      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17717]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1700,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_lessequals(c_1,X1,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8838_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17713,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_lessequals(c_1,X1,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1700]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17714,plain,
% 23.35/23.53      ( c_lessequals(c_1,X0,tc_nat)
% 23.35/23.53      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17713]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1698,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_lessequals(c_1,X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8837_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17709,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_lessequals(c_1,X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1698]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17710,plain,
% 23.35/23.53      ( c_lessequals(c_1,X0,tc_nat)
% 23.35/23.53      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17709]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1687,plain,
% 23.35/23.53      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8834_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17687,plain,
% 23.35/23.53      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1687]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17688,plain,
% 23.35/23.53      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17687]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1683,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.53      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8833_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17679,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.53      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1683]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17680,plain,
% 23.35/23.53      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17679]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1680,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_Numeral_Onumber__of(X1,X0) != c_1
% 23.35/23.53      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8832_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17673,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_Numeral_Onumber__of(X1,X0) != c_1
% 23.35/23.53      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1680]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17674,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.53      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17673]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1678,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | X0 = c_0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8831_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17669,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | X0 = c_0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1678]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1674,plain,
% 23.35/23.53      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 23.35/23.53      | c_inter(X1,X3,X2) = c_emptyset ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8829_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17661,plain,
% 23.35/23.53      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 23.35/23.53      | c_inter(X1,X3,X2) = c_emptyset ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1674]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1670,plain,
% 23.35/23.53      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 23.35/23.53      | c_inter(X0,X2,X3) = c_emptyset ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8827_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17653,plain,
% 23.35/23.53      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 23.35/23.53      | c_inter(X0,X2,X3) = c_emptyset ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1670]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1668,plain,
% 23.35/23.53      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8826_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17649,plain,
% 23.35/23.53      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1668]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1666,plain,
% 23.35/23.53      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8825_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17645,plain,
% 23.35/23.53      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1666]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1660,plain,
% 23.35/23.53      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8823_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17633,plain,
% 23.35/23.53      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1660]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1657,plain,
% 23.35/23.53      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 23.35/23.53      | c_List_Oop_Amem(X0,X2,X3)
% 23.35/23.53      | X1 = X0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8822_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17627,plain,
% 23.35/23.53      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 23.35/23.53      | c_List_Oop_Amem(X0,X2,X3)
% 23.35/23.53      | X1 = X0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1657]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1649,plain,
% 23.35/23.53      ( c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8819_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17611,plain,
% 23.35/23.53      ( c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1649]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17612,plain,
% 23.35/23.53      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17611]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1647,plain,
% 23.35/23.53      ( c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8818_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17607,plain,
% 23.35/23.53      ( c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1647]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17608,plain,
% 23.35/23.53      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17607]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1643,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8817_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17599,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1643]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17600,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17599]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1641,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_div(c_plus(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8816_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17595,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_div(c_plus(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1641]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17596,plain,
% 23.35/23.53      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X0,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 23.35/23.53      | X1 = c_0 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17595]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1639,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8815_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17591,plain,
% 23.35/23.53      ( X0 = c_0
% 23.35/23.53      | c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1639]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17592,plain,
% 23.35/23.53      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 23.35/23.53      | X0 = c_0 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17591]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1623,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8810_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17559,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1623]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1589,plain,
% 23.35/23.53      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
% 23.35/23.53      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8801_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17491,plain,
% 23.35/23.53      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
% 23.35/23.53      | c_lessequals(X0,X1,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1589]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1588,plain,
% 23.35/23.53      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 23.35/23.53      | c_in(X0,X2,X3)
% 23.35/23.53      | ~ c_in(X0,X1,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8800_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17489,plain,
% 23.35/23.53      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 23.35/23.53      | c_in(X0,X2,X3)
% 23.35/23.53      | ~ c_in(X0,X1,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1588]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1533,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.53      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8782_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17379,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 23.35/23.53      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1533]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17380,plain,
% 23.35/23.53      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.53      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17379]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1528,plain,
% 23.35/23.53      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8780_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17369,plain,
% 23.35/23.53      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1528]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17370,plain,
% 23.35/23.53      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17369]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1527,plain,
% 23.35/23.53      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8779_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17367,plain,
% 23.35/23.53      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1527]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1518,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X1,tc_nat)
% 23.35/23.53      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8777_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17349,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_0,X1,tc_nat)
% 23.35/23.53      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1518]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1515,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_1,X1,tc_nat)
% 23.35/23.53      | c_less(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8776_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17343,plain,
% 23.35/23.53      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.53      | ~ c_less(c_1,X1,tc_nat)
% 23.35/23.53      | c_less(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1515]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1513,plain,
% 23.35/23.53      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8775_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17339,plain,
% 23.35/23.53      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1513]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1511,plain,
% 23.35/23.53      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8774_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17335,plain,
% 23.35/23.53      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1511]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1509,plain,
% 23.35/23.53      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8773_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17331,plain,
% 23.35/23.53      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1509]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1506,plain,
% 23.35/23.53      ( ~ c_lessequals(c_1,X0,tc_nat)
% 23.35/23.53      | ~ c_lessequals(c_1,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8772_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17325,plain,
% 23.35/23.53      ( ~ c_lessequals(c_1,X0,tc_nat)
% 23.35/23.53      | ~ c_lessequals(c_1,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1506]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1504,plain,
% 23.35/23.53      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8771_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17321,plain,
% 23.35/23.53      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1504]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1502,plain,
% 23.35/23.53      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8770_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17317,plain,
% 23.35/23.53      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1502]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1500,plain,
% 23.35/23.53      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X0,X3,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8769_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17313,plain,
% 23.35/23.53      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | c_lessequals(X0,X3,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1500]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1498,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | c_lessequals(X0,X2,tc_set(X3)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8768_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17309,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | c_lessequals(X0,X2,tc_set(X3)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1498]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1496,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | c_lessequals(X0,X1,tc_set(X3)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8767_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17305,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | c_lessequals(X0,X1,tc_set(X3)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1496]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1494,plain,
% 23.35/23.53      ( X0 = X1
% 23.35/23.53      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8766_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17301,plain,
% 23.35/23.53      ( X0 = X1
% 23.35/23.53      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1494]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17302,plain,
% 23.35/23.53      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 23.35/23.53      | X0 = X1 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17301]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1490,plain,
% 23.35/23.53      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.35/23.53      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 23.35/23.53      | X1 = X0 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8765_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17293,plain,
% 23.35/23.53      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 23.35/23.53      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 23.35/23.53      | X1 = X0 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1490]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1488,plain,
% 23.35/23.53      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8764_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17289,plain,
% 23.35/23.53      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1488]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1486,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 23.35/23.53      | c_in(c_Main_OdiagE__1(X1,X0,X2),X1,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8763_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17285,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 23.35/23.53      | c_in(c_Main_OdiagE__1(X1,X0,X2),X1,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1486]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17286,plain,
% 23.35/23.53      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 23.35/23.53      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17285]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1467,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8758_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17247,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.53      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1467]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1465,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8757_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17243,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1465]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1463,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8756_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17239,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1463]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1461,plain,
% 23.35/23.53      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.53      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8755_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17235,plain,
% 23.35/23.53      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.53      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1461]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17236,plain,
% 23.35/23.53      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 23.35/23.53      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17235]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1458,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.53      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8754_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17229,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 23.35/23.53      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1458]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17230,plain,
% 23.35/23.53      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17229]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1456,plain,
% 23.35/23.53      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2)
% 23.35/23.53      | c_lessequals(X1,c_insert(X3,c_emptyset,X2),tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8753_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17225,plain,
% 23.35/23.53      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2)
% 23.35/23.53      | c_lessequals(X1,c_insert(X3,c_emptyset,X2),tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1456]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17226,plain,
% 23.35/23.53      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17225]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1454,plain,
% 23.35/23.53      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1)
% 23.35/23.53      | c_lessequals(X3,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8752_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17221,plain,
% 23.35/23.53      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1)
% 23.35/23.53      | c_lessequals(X3,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1454]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17222,plain,
% 23.35/23.53      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17221]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1452,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(X0,X1)
% 23.35/23.53      | c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8751_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17217,plain,
% 23.35/23.53      ( ~ c_List_Odistinct(X0,X1)
% 23.35/23.53      | c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1452]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1450,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8750_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17213,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1450]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1448,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8749_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17209,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1448]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1447,plain,
% 23.35/23.53      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8748_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17207,plain,
% 23.35/23.53      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1447]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1439,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8746_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17191,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1439]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17192,plain,
% 23.35/23.53      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.53      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17191]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1437,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8745_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17187,plain,
% 23.35/23.53      ( ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2)
% 23.35/23.53      | c_in(X0,c_Inter(X1,X2),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1437]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17188,plain,
% 23.35/23.53      ( c_in(X0,c_Inter(X1,X2),X2)
% 23.35/23.53      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17187]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1431,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.53      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8743_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17175,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.53      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1431]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17176,plain,
% 23.35/23.53      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 23.35/23.53      | ~ c_in(X0,c_IntDef_ONats,X2)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17175]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1427,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.53      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8742_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17167,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 23.35/23.53      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1427]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17168,plain,
% 23.35/23.53      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 23.35/23.53      | ~ c_in(X0,c_IntDef_ONats,X2)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_ONats,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17167]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1423,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8741_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17159,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1423]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17160,plain,
% 23.35/23.53      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17159]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1419,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8740_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17151,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1419]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17152,plain,
% 23.35/23.53      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17151]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1415,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8739_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17143,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 23.35/23.53      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X0)
% 23.35/23.53      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1415]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17144,plain,
% 23.35/23.53      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X0,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ c_in(X1,c_IntDef_OInts,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17143]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1410,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8738_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17133,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1410]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1407,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8737_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17127,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1407]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1405,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.35/23.53      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0),X0) = c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8736_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17123,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 23.35/23.53      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0),X0) = c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1405]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1401,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | X1 = c_0
% 23.35/23.53      | c_divide(c_times(X2,X1,X0),c_times(X3,X1,X0),X0) = c_divide(X2,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8735_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17115,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | X1 = c_0
% 23.35/23.53      | c_divide(c_times(X2,X1,X0),c_times(X3,X1,X0),X0) = c_divide(X2,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1401]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17116,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 23.35/23.53      | X2 = c_0 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17115]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1397,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | X1 = c_0
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8734_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17107,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | X1 = c_0
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1397]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17108,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Ofield(X0)
% 23.35/23.53      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 23.35/23.53      | X1 = c_0 ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17107]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1374,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8728_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17061,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1374]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1370,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8726_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17053,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1370]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1368,plain,
% 23.35/23.53      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 23.35/23.53      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8725_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17049,plain,
% 23.35/23.53      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 23.35/23.53      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1368]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1366,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_less(X2,X1,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8724_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17045,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_less(X2,X1,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1366]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17046,plain,
% 23.35/23.53      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_less(X1,X0,X3)
% 23.35/23.53      | ~ c_less(X0,X2,X3)
% 23.35/23.53      | ~ class_Orderings_Oord(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17045]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1360,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X3,X0)
% 23.35/23.53      | c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8723_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17033,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X3,X0)
% 23.35/23.53      | c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1360]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17034,plain,
% 23.35/23.53      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_lessequals(X0,X2,X3)
% 23.35/23.53      | ~ c_less(X1,X0,X3)
% 23.35/23.53      | ~ class_Orderings_Oord(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17033]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1356,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X3,X1,X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8722_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17025,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X3,X1,X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1356]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17026,plain,
% 23.35/23.53      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_lessequals(X1,X0,X3)
% 23.35/23.53      | ~ c_less(X0,X2,X3)
% 23.35/23.53      | ~ class_Orderings_Oord(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17025]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1354,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8721_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17021,plain,
% 23.35/23.53      ( ~ class_Orderings_Oord(X0)
% 23.35/23.53      | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1354]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17022,plain,
% 23.35/23.53      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_lessequals(X1,X0,X3)
% 23.35/23.53      | ~ c_lessequals(X0,X2,X3)
% 23.35/23.53      | ~ class_Orderings_Oord(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17021]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1350,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8720_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17013,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1350]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17014,plain,
% 23.35/23.53      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.35/23.53      | ~ c_lessequals(X0,X3,X2)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X2)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17013]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1346,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8719_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17005,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1346]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_17006,plain,
% 23.35/23.53      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_lessequals(X0,X1,X3)
% 23.35/23.53      | ~ c_lessequals(X0,X2,X3)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_17005]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1342,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8718_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16997,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1342]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16998,plain,
% 23.35/23.53      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 23.35/23.53      | ~ c_less(X0,X1,X3)
% 23.35/23.53      | ~ c_less(X0,X2,X3)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16997]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1338,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0)
% 23.35/23.53      | ~ c_less(X2,X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8717_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16989,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 23.35/23.53      | ~ c_less(X1,X3,X0)
% 23.35/23.53      | ~ c_less(X2,X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1338]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16990,plain,
% 23.35/23.53      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 23.35/23.53      | ~ c_less(X0,X3,X2)
% 23.35/23.53      | ~ c_less(X1,X3,X2)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16989]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1326,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0)
% 23.35/23.53      | c_less(c_1,c_divide(X1,X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8715_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16965,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0)
% 23.35/23.53      | c_less(c_1,c_divide(X1,X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1326]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16966,plain,
% 23.35/23.53      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 23.35/23.53      | ~ c_less(X1,c_0,X2)
% 23.35/23.53      | ~ c_less(X0,X1,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16965]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1321,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8714_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16955,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1321]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16956,plain,
% 23.35/23.53      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 23.35/23.53      | ~ c_lessequals(X1,X0,X2)
% 23.35/23.53      | ~ c_less(c_0,X1,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16955]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1316,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8713_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16945,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1316]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16946,plain,
% 23.35/23.53      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 23.35/23.53      | ~ c_lessequals(X0,X1,X2)
% 23.35/23.53      | ~ c_less(X1,c_0,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16945]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1306,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | c_less(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8711_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16925,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | c_less(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1306]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16926,plain,
% 23.35/23.53      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 23.35/23.53      | ~ c_less(X1,c_0,X2)
% 23.35/23.53      | ~ c_less(X1,X0,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16925]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1301,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8710_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16915,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1301]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16916,plain,
% 23.35/23.53      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 23.35/23.53      | ~ c_lessequals(X0,X1,X2)
% 23.35/23.53      | ~ c_less(c_0,X1,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16915]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1296,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8709_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16905,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1296]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16906,plain,
% 23.35/23.53      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 23.35/23.53      | ~ c_lessequals(X1,X0,X2)
% 23.35/23.53      | ~ c_less(X1,c_0,X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.53      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16905]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1294,plain,
% 23.35/23.53      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.53      | c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8708_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16901,plain,
% 23.35/23.53      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.53      | c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1294]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16902,plain,
% 23.35/23.53      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_less(X1,X2,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16901]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1292,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8707_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16897,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1292]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16898,plain,
% 23.35/23.53      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_lessequals(X1,X2,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16897]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1290,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8706_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16893,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1290]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16894,plain,
% 23.35/23.53      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_lessequals(X0,X2,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16893]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1288,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8705_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16889,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.53      | c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1288]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16890,plain,
% 23.35/23.53      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_lessequals(X1,X2,tc_nat) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16889]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1266,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8700_1) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16845,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X0,tc_nat)
% 23.35/23.53      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1266]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1265,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X1,tc_nat)
% 23.35/23.53      | c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8700_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16843,plain,
% 23.35/23.53      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 23.35/23.53      | c_less(c_0,X1,tc_nat)
% 23.35/23.53      | c_less(c_0,X0,tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1265]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1262,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.53      | ~ class_Power_Orecpower(X0)
% 23.35/23.53      | c_Nat_Opower(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8699_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16837,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.53      | ~ class_Power_Orecpower(X0)
% 23.35/23.53      | c_Nat_Opower(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1262]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1259,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | ~ c_lessequals(X3,X1,tc_set(X2))
% 23.35/23.53      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8698_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16831,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | ~ c_lessequals(X3,X1,tc_set(X2))
% 23.35/23.53      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1259]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16832,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2)
% 23.35/23.53      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16831]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1256,plain,
% 23.35/23.53      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8697_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16825,plain,
% 23.35/23.53      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1256]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16826,plain,
% 23.35/23.53      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16825]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1249,plain,
% 23.35/23.53      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8695_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16811,plain,
% 23.35/23.53      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.53      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1249]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1241,plain,
% 23.35/23.53      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.53      | c_in(X0,X3,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8693_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16795,plain,
% 23.35/23.53      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.53      | c_in(X0,X3,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1241]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1240,plain,
% 23.35/23.53      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X0,X3,tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8692_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16793,plain,
% 23.35/23.53      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X0,X3,tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1240]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1237,plain,
% 23.35/23.53      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | ~ c_lessequals(X0,X1,tc_set(X3))
% 23.35/23.53      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8691_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16787,plain,
% 23.35/23.53      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 23.35/23.53      | ~ c_lessequals(X0,X1,tc_set(X3))
% 23.35/23.53      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1237]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1233,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X3,X1,tc_set(X2)),X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8690_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16779,plain,
% 23.35/23.53      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X3,X1,tc_set(X2)),X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1233]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16780,plain,
% 23.35/23.53      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16779]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1230,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8689_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16773,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1230]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16774,plain,
% 23.35/23.53      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 23.35/23.53      | ~ c_less(X0,X3,X2)
% 23.35/23.53      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16773]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1227,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8688_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16767,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1227]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16768,plain,
% 23.35/23.53      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 23.35/23.53      | ~ c_less(X1,X3,X2)
% 23.35/23.53      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16767]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1224,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8687_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16761,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1224]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16762,plain,
% 23.35/23.53      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 23.35/23.53      | ~ c_lessequals(X0,X3,X2)
% 23.35/23.53      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16761]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1221,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8686_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16755,plain,
% 23.35/23.53      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1221]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16756,plain,
% 23.35/23.53      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 23.35/23.53      | ~ c_lessequals(X1,X3,X2)
% 23.35/23.53      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16755]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1219,plain,
% 23.35/23.53      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8685_1) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16751,plain,
% 23.35/23.53      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1219]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1218,plain,
% 23.35/23.53      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8685_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16749,plain,
% 23.35/23.53      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1218]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1214,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8684_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16741,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 23.35/23.53      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1214]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16742,plain,
% 23.35/23.53      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 23.35/23.53      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16741]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1212,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8683_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16737,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1212]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1210,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8682_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16733,plain,
% 23.35/23.53      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 23.35/23.53      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1210]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1207,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0)) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8681_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16727,plain,
% 23.35/23.53      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.53      | ~ c_lessequals(X1,X2,X0)
% 23.35/23.53      | c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0)) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1207]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16728,plain,
% 23.35/23.53      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.35/23.53      | ~ c_lessequals(X1,X0,X2)
% 23.35/23.53      | ~ class_Orderings_Olinorder(X2) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16727]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1204,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8680_2) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16721,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | ~ c_less(X1,X2,X0)
% 23.35/23.53      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1204]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16722,plain,
% 23.35/23.53      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.35/23.53      | ~ c_less(X0,c_0,X1)
% 23.35/23.53      | ~ c_less(X2,c_0,X1)
% 23.35/23.53      | ~ c_less(X2,X0,X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16721]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1195,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8678_3) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16703,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_less(X1,c_0,X0)
% 23.35/23.53      | ~ c_less(X2,c_0,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1195]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16704,plain,
% 23.35/23.53      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.35/23.53      | ~ c_lessequals(X2,X0,X1)
% 23.35/23.53      | ~ c_less(X0,c_0,X1)
% 23.35/23.53      | ~ c_less(X2,c_0,X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16703]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1190,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_less(c_0,X2,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8677_3) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16693,plain,
% 23.35/23.53      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.53      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 23.35/23.53      | ~ c_lessequals(X2,X1,X0)
% 23.35/23.53      | ~ c_less(c_0,X1,X0)
% 23.35/23.53      | ~ c_less(c_0,X2,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1190]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16694,plain,
% 23.35/23.53      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 23.35/23.53      | ~ c_lessequals(X2,X0,X1)
% 23.35/23.53      | ~ c_less(c_0,X0,X1)
% 23.35/23.53      | ~ c_less(c_0,X2,X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16693]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1183,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.53      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8676_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16679,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.53      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1183]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16680,plain,
% 23.35/23.53      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 23.35/23.53      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.53      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.53      inference(rewriting,[status(thm)],[c_16679]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1180,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8675_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16673,plain,
% 23.35/23.53      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.53      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1180]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1154,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_times(c_Numeral_Onumber__of(X1,X0),c_times(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0),X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8670_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16621,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_times(c_Numeral_Onumber__of(X1,X0),c_times(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0),X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1154]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1152,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_plus(c_Numeral_Onumber__of(X1,X0),c_plus(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0),X3,X0) ),
% 23.35/23.53      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8669_0) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_16617,plain,
% 23.35/23.53      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.53      | c_plus(c_Numeral_Onumber__of(X1,X0),c_plus(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0),X3,X0) ),
% 23.35/23.53      inference(copy,[status(esa)],[c_1152]) ).
% 23.35/23.53  
% 23.35/23.53  cnf(c_1150,plain,
% 23.35/23.53      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 23.35/23.53      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8668_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16613,plain,
% 23.35/23.54      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 23.35/23.54      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1150]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1147,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8667_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16607,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1147]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1145,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.54      | c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8666_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16603,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.54      | c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1145]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1143,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.54      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8665_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16599,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.54      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1143]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16600,plain,
% 23.35/23.54      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16599]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1141,plain,
% 23.35/23.54      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8664_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16595,plain,
% 23.35/23.54      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1141]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1135,plain,
% 23.35/23.54      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8662_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16583,plain,
% 23.35/23.54      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1135]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1133,plain,
% 23.35/23.54      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8661_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16579,plain,
% 23.35/23.54      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1133]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1131,plain,
% 23.35/23.54      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.35/23.54      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8660_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16575,plain,
% 23.35/23.54      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 23.35/23.54      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1131]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1124,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 23.35/23.54      | c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8658_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16561,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 23.35/23.54      | c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1124]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16562,plain,
% 23.35/23.54      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 23.35/23.54      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16561]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1118,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8656_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16549,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1118]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1116,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8655_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16545,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1116]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1109,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8653_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16531,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1109]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1107,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) = c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8652_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16527,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) = c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1107]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1105,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8651_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16523,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1105]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1078,plain,
% 23.35/23.54      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_List_Onth(X1,c_minus(c_Numeral_Onumber__of(X3,tc_nat),c_1,tc_nat),X2)
% 23.35/23.54      | c_Numeral_Onumber__of(X3,tc_nat) = c_0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8645_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16469,plain,
% 23.35/23.54      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = c_List_Onth(X1,c_minus(c_Numeral_Onumber__of(X3,tc_nat),c_1,tc_nat),X2)
% 23.35/23.54      | c_Numeral_Onumber__of(X3,tc_nat) = c_0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1078]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16470,plain,
% 23.35/23.54      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 23.35/23.54      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X3) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16469]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1076,plain,
% 23.35/23.54      ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3)
% 23.35/23.54      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8644_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16465,plain,
% 23.35/23.54      ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3)
% 23.35/23.54      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1076]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16466,plain,
% 23.35/23.54      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 23.35/23.54      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16465]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1072,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.54      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8643_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16457,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.54      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1072]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16458,plain,
% 23.35/23.54      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16457]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1065,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8641_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16443,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1065]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1063,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | c_plus(c_Numeral_Onumber__of(X1,X0),c_minus(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X0),X2,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8640_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16439,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | c_plus(c_Numeral_Onumber__of(X1,X0),c_minus(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X0),X2,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1063]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1021,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8631_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16355,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1021]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1014,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8629_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16341,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 23.35/23.54      | c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1014]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16342,plain,
% 23.35/23.54      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X0,X3,X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16341]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1009,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 23.35/23.54      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8627_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16331,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 23.35/23.54      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1009]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1006,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X2,tc_nat)
% 23.35/23.54      | c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8626_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16325,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X2,tc_nat)
% 23.35/23.54      | c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1006]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16326,plain,
% 23.35/23.54      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X1,tc_nat)
% 23.35/23.54      | ~ c_less(X0,X2,tc_nat) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16325]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_1003,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X2,tc_nat)
% 23.35/23.54      | c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8625_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16319,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X2,tc_nat)
% 23.35/23.54      | c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_1003]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16320,plain,
% 23.35/23.54      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | ~ c_less(X1,X2,tc_nat) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16319]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_917,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 23.35/23.54      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8609_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16147,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 23.35/23.54      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_917]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_913,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.54      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8608_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16139,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 23.35/23.54      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_913]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16140,plain,
% 23.35/23.54      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16139]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_911,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.54      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X3,X1,X2),X2) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8607_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16135,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.54      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X3,X1,X2),X2) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_911]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_899,plain,
% 23.35/23.54      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 23.35/23.54      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8604_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16111,plain,
% 23.35/23.54      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 23.35/23.54      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_899]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_897,plain,
% 23.35/23.54      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.54      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.35/23.54      | ~ c_lessequals(X3,X1,X0)
% 23.35/23.54      | ~ c_lessequals(X2,X4,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8603_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16107,plain,
% 23.35/23.54      ( ~ class_Orderings_Olinorder(X0)
% 23.35/23.54      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 23.35/23.54      | ~ c_lessequals(X3,X1,X0)
% 23.35/23.54      | ~ c_lessequals(X2,X4,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_897]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16108,plain,
% 23.35/23.54      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 23.35/23.54      | ~ c_lessequals(X3,X0,X2)
% 23.35/23.54      | ~ c_lessequals(X1,X4,X2)
% 23.35/23.54      | ~ class_Orderings_Olinorder(X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_16107]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_892,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8602_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16097,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_892]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_866,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8597_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16045,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X1,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_866]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_864,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X0,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8596_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16041,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(c_0,X0,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_864]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_862,plain,
% 23.35/23.54      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X1,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8595_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16037,plain,
% 23.35/23.54      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X1,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_862]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_860,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_lessequals(X1,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8594_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16033,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_lessequals(X1,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_860]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_858,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X0,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8593_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16029,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X0,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_858]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_856,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X1,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8592_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16025,plain,
% 23.35/23.54      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 23.35/23.54      | c_less(X1,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_856]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_855,plain,
% 23.35/23.54      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8591_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_16023,plain,
% 23.35/23.54      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 23.35/23.54      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_855]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_777,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_less(c_0,X2,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8577_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15867,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_less(c_0,X2,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_777]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15868,plain,
% 23.35/23.54      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | c_less(c_0,X2,X1)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15867]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_765,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_lessequals(c_0,X2,X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8575_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15843,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_lessequals(c_0,X2,X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_765]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15844,plain,
% 23.35/23.54      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | c_lessequals(c_0,X2,X1)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15843]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_762,plain,
% 23.35/23.54      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | X1 = c_Numeral_Obit_OB0
% 23.35/23.54      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8574_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15837,plain,
% 23.35/23.54      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | X1 = c_Numeral_Obit_OB0
% 23.35/23.54      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_762]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15838,plain,
% 23.35/23.54      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | X2 = c_Numeral_Obit_OB0 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15837]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_760,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8573_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15833,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_760]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_758,plain,
% 23.35/23.54      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 23.35/23.54      | X1 = X4 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8572_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15829,plain,
% 23.35/23.54      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 23.35/23.54      | X1 = X4 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_758]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_756,plain,
% 23.35/23.54      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 23.35/23.54      | X0 = X3 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8571_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15825,plain,
% 23.35/23.54      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 23.35/23.54      | X0 = X3 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_756]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_754,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_Suc(c_minus(X1,X0,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X1),c_plus(X0,X2,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8570_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15821,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_Suc(c_minus(X1,X0,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X1),c_plus(X0,X2,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_754]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_752,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_plus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_minus(X2,c_Suc(c_minus(X1,X0,tc_nat)),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8569_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15817,plain,
% 23.35/23.54      ( ~ c_lessequals(X0,X1,tc_nat)
% 23.35/23.54      | c_minus(c_plus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_minus(X2,c_Suc(c_minus(X1,X0,tc_nat)),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_752]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_746,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8568_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15805,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_746]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15806,plain,
% 23.35/23.54      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15805]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_740,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8567_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15793,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_740]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15794,plain,
% 23.35/23.54      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15793]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_734,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8566_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15781,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_734]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15782,plain,
% 23.35/23.54      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15781]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_728,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8565_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15769,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_728]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15770,plain,
% 23.35/23.54      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15769]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_724,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8564_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15761,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_724]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15762,plain,
% 23.35/23.54      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15761]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_722,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 23.35/23.54      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8563_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15757,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 23.35/23.54      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_722]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_720,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 23.35/23.54      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8562_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15753,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 23.35/23.54      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_720]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_621,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,X1,X0)
% 23.35/23.54      | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0),X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8541_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15555,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,X1,X0)
% 23.35/23.54      | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0),X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_621]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15556,plain,
% 23.35/23.54      ( c_less(c_0,c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
% 23.35/23.54      | ~ c_less(c_0,X0,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15555]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_614,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.35/23.54      | c_less(X1,c_0,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8540_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15541,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.35/23.54      | c_less(X1,c_0,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_614]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15542,plain,
% 23.35/23.54      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | c_less(X2,c_0,X1)
% 23.35/23.54      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15541]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_600,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.35/23.54      | c_less(c_0,X3,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8538_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15513,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 23.35/23.54      | c_less(c_0,X3,X0)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 23.35/23.54      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_600]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15514,plain,
% 23.35/23.54      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 23.35/23.54      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | c_less(c_0,X2,X1)
% 23.35/23.54      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15513]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_589,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8536_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15491,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber__ring(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 23.35/23.54      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_589]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15492,plain,
% 23.35/23.54      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 23.35/23.54      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 23.35/23.54      | ~ class_Numeral_Onumber__ring(X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15491]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_586,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Osemiring(X0)
% 23.35/23.54      | c_plus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8535_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15485,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Osemiring(X0)
% 23.35/23.54      | c_plus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_plus(X2,X3,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_586]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_583,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.54      | c_minus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_minus(X2,X3,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8534_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15479,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.54      | c_minus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_minus(X2,X3,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_583]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_580,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Osemiring(X0)
% 23.35/23.54      | c_plus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_plus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8533_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15473,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Osemiring(X0)
% 23.35/23.54      | c_plus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_plus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_580]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_577,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.54      | c_minus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_minus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8532_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15467,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oring(X0)
% 23.35/23.54      | c_minus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_minus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_577]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_566,plain,
% 23.35/23.54      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8529_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15445,plain,
% 23.35/23.54      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_566]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_563,plain,
% 23.35/23.54      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.35/23.54      | ~ c_Relation_Otrans(X0,X2)
% 23.35/23.54      | ~ c_Relation_Otrans(X1,X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8528_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15439,plain,
% 23.35/23.54      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 23.35/23.54      | ~ c_Relation_Otrans(X0,X2)
% 23.35/23.54      | ~ c_Relation_Otrans(X1,X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_563]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_559,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_plus(X1,c_times(X0,X2,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8527_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15431,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_plus(X1,c_times(X0,X2,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_559]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_557,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_plus(X1,c_times(X2,X0,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8526_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15427,plain,
% 23.35/23.54      ( ~ c_less(c_0,X0,tc_nat)
% 23.35/23.54      | c_div(c_plus(X1,c_times(X2,X0,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_557]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_555,plain,
% 23.35/23.54      ( X0 = X1
% 23.35/23.54      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8525_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15423,plain,
% 23.35/23.54      ( X0 = X1
% 23.35/23.54      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_555]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15424,plain,
% 23.35/23.54      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 23.35/23.54      | X1 = X4 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15423]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_553,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 23.35/23.54      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8524_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15419,plain,
% 23.35/23.54      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 23.35/23.54      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_553]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_551,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8523_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15415,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_551]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_549,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8522_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15411,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_549]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_547,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8521_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15407,plain,
% 23.35/23.54      ( ~ c_less(X0,X1,tc_nat)
% 23.35/23.54      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_547]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15408,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 23.35/23.54      | ~ c_less(X0,X1,tc_nat) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15407]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_545,plain,
% 23.35/23.54      ( c_List_Olist_OCons(X0,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X0,X2,X3),X3)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8520_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15403,plain,
% 23.35/23.54      ( c_List_Olist_OCons(X0,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X0,X2,X3),X3)
% 23.35/23.54      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_545]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_543,plain,
% 23.35/23.54      ( ~ c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.54      | c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8519_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15399,plain,
% 23.35/23.54      ( ~ c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 23.35/23.54      | c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_543]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15400,plain,
% 23.35/23.54      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 23.35/23.54      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15399]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_541,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Pair(X0,X0,X2,X2),c_Relation_Odiag(X1,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8518_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15395,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Pair(X0,X0,X2,X2),c_Relation_Odiag(X1,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_541]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15396,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 23.35/23.54      | ~ c_in(X0,X2,X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15395]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_539,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8517_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15391,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_539]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_527,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.35/23.54      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8515_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15367,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 23.35/23.54      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_527]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15368,plain,
% 23.35/23.54      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.35/23.54      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.35/23.54      | ~ class_Numeral_Onumber(X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15367]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_515,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.35/23.54      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8513_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15343,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.35/23.54      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_515]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15344,plain,
% 23.35/23.54      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.35/23.54      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.35/23.54      | ~ class_Numeral_Onumber(X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15343]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_497,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.35/23.54      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8510_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15307,plain,
% 23.35/23.54      ( ~ class_Numeral_Onumber(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 23.35/23.54      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 23.35/23.54      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_497]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15308,plain,
% 23.35/23.54      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 23.35/23.54      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 23.35/23.54      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Oordered__field(X2)
% 23.35/23.54      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 23.35/23.54      | ~ class_Numeral_Onumber(X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15307]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_433,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Sum__Type_OInr(X0,X2,X3),c_Sum__Type_OPlus(X4,X1,X3,X2),tc_sum(X3,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8500_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15179,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Sum__Type_OInr(X0,X2,X3),c_Sum__Type_OPlus(X4,X1,X3,X2),tc_sum(X3,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_433]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15180,plain,
% 23.35/23.54      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 23.35/23.54      | ~ c_in(X0,X4,X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15179]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_431,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Sum__Type_OInl(X0,X2,X3),c_Sum__Type_OPlus(X1,X4,X2,X3),tc_sum(X2,X3)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8499_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15175,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,X2)
% 23.35/23.54      | c_in(c_Sum__Type_OInl(X0,X2,X3),c_Sum__Type_OPlus(X1,X4,X2,X3),tc_sum(X2,X3)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_431]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15176,plain,
% 23.35/23.54      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 23.35/23.54      | ~ c_in(X0,X3,X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15175]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_429,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
% 23.35/23.54      | c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8498_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15171,plain,
% 23.35/23.54      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1
% 23.35/23.54      | c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_429]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_15172,plain,
% 23.35/23.54      ( c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_15171]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_331,plain,
% 23.35/23.54      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8481_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14975,plain,
% 23.35/23.54      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_331]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_329,plain,
% 23.35/23.54      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8480_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14971,plain,
% 23.35/23.54      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_329]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_327,plain,
% 23.35/23.54      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 23.35/23.54      | X1 = X5 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8479_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14967,plain,
% 23.35/23.54      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 23.35/23.54      | X1 = X5 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_327]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_325,plain,
% 23.35/23.54      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 23.35/23.54      | X0 = X4 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8478_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14963,plain,
% 23.35/23.54      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 23.35/23.54      | X0 = X4 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_325]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_323,plain,
% 23.35/23.54      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 23.35/23.54      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8477_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14959,plain,
% 23.35/23.54      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 23.35/23.54      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_323]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_319,plain,
% 23.35/23.54      ( ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8476_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14951,plain,
% 23.35/23.54      ( ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_319]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14952,plain,
% 23.35/23.54      ( c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 23.35/23.54      | ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 23.35/23.54      | ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14951]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_314,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | c_in(c_Datatype__Universe_OIn1(X0,X2,X3),c_Datatype__Universe_Ousum(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8474_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14941,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | c_in(c_Datatype__Universe_OIn1(X0,X2,X3),c_Datatype__Universe_Ousum(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_314]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14942,plain,
% 23.35/23.54      ( c_in(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 23.35/23.54      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14941]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_312,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | c_in(c_Datatype__Universe_OIn0(X0,X2,X3),c_Datatype__Universe_Ousum(X1,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8473_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14937,plain,
% 23.35/23.54      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | c_in(c_Datatype__Universe_OIn0(X0,X2,X3),c_Datatype__Universe_Ousum(X1,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_312]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14938,plain,
% 23.35/23.54      ( c_in(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 23.35/23.54      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14937]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_310,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8472_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14933,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_310]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_308,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8471_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14929,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_308]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_306,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.35/23.54      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8470_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14925,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.35/23.54      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_306]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14926,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14925]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_304,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 23.35/23.54      | c_less(X0,X1,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8469_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14921,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 23.35/23.54      | c_less(X0,X1,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_304]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_270,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8463_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14853,plain,
% 23.35/23.54      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_270]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_268,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | X0 = c_List_Olist_ONil ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8462_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14849,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | X0 = c_List_Olist_ONil ),
% 23.35/23.54      inference(copy,[status(esa)],[c_268]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_266,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | X0 = c_List_Olist_ONil ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8461_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14845,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | X0 = c_List_Olist_ONil ),
% 23.35/23.54      inference(copy,[status(esa)],[c_266]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_236,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8456_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14785,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_236]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_234,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8455_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14781,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_234]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_229,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8453_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14771,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 23.35/23.54      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_229]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_227,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8452_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14767,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_227]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_226,plain,
% 23.35/23.54      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8451_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14765,plain,
% 23.35/23.54      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 23.35/23.54      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_226]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_222,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8450_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14757,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_222]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_220,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8449_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14753,plain,
% 23.35/23.54      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.54      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_220]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_217,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 23.35/23.54      | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8448_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14747,plain,
% 23.35/23.54      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 23.35/23.54      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 23.35/23.54      | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_217]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_214,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.54      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8447_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14741,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.54      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_214]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14742,plain,
% 23.35/23.54      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 23.35/23.54      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14741]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_210,plain,
% 23.35/23.54      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8445_2) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14733,plain,
% 23.35/23.54      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.54      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_210]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_206,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8444_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14725,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_206]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14726,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14725]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_204,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 23.35/23.54      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8443_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14721,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 23.35/23.54      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_204]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_199,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8441_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14711,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_199]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14712,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14711]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_182,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8435_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14677,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_182]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14678,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 23.35/23.54      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14677]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_180,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 23.35/23.54      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8434_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14673,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 23.35/23.54      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_180]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_177,plain,
% 23.35/23.54      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 23.35/23.54      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 23.35/23.54      | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8433_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14667,plain,
% 23.35/23.54      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 23.35/23.54      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 23.35/23.54      | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_177]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_175,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8432_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14663,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_175]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_173,plain,
% 23.35/23.54      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8431_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14659,plain,
% 23.35/23.54      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_173]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_171,plain,
% 23.35/23.54      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8430_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14655,plain,
% 23.35/23.54      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 23.35/23.54      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_171]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_168,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.54      | X0 = X3
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8429_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14649,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.54      | X0 = X3
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_168]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14650,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.54      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 23.35/23.54      | X0 = X3 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14649]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_166,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 23.35/23.54      | c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8428_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14645,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 23.35/23.54      | c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_166]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14646,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 23.35/23.54      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14645]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_163,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.35/23.54      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 23.35/23.54      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8427_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14639,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 23.35/23.54      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 23.35/23.54      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_163]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14640,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14639]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_160,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 23.35/23.54      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 23.35/23.54      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8426_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14633,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 23.35/23.54      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 23.35/23.54      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_160]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14634,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.54      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14633]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_158,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 23.35/23.54      | c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8425_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14629,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 23.35/23.54      | c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_158]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14630,plain,
% 23.35/23.54      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 23.35/23.54      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14629]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_156,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 23.35/23.54      | c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8424_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14625,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 23.35/23.54      | c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_156]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14626,plain,
% 23.35/23.54      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 23.35/23.54      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14625]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_154,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8423_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14621,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_154]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_152,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8422_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14617,plain,
% 23.35/23.54      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.54      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_152]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_150,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8421_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14613,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 23.35/23.54      | c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_150]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14614,plain,
% 23.35/23.54      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.54      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14613]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_147,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.35/23.54      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 23.35/23.54      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8420_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14607,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.35/23.54      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 23.35/23.54      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_147]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14608,plain,
% 23.35/23.54      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 23.35/23.54      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 23.35/23.54      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14607]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_138,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.35/23.54      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 23.35/23.54      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8417_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14589,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.35/23.54      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 23.35/23.54      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 23.35/23.54      inference(copy,[status(esa)],[c_138]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14590,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 23.35/23.54      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0
% 23.35/23.54      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 23.35/23.54      inference(rewriting,[status(thm)],[c_14589]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_136,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.54      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8416_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14585,plain,
% 23.35/23.54      ( ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.54      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 23.35/23.54      inference(copy,[status(esa)],[c_136]) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_130,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.54      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 23.35/23.54      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 23.35/23.54      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8414_0) ).
% 23.35/23.54  
% 23.35/23.54  cnf(c_14573,plain,
% 23.35/23.54      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 23.35/23.55      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_130]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_128,plain,
% 23.35/23.55      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 23.35/23.55      | c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8413_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14569,plain,
% 23.35/23.55      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 23.35/23.55      | c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_128]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14570,plain,
% 23.35/23.55      ( c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.55      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14569]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_126,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X4,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8412_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14565,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X4,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_126]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14566,plain,
% 23.35/23.55      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14565]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_124,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X4,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8411_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14561,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X4,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_124]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14562,plain,
% 23.35/23.55      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14561]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_115,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8408_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14543,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_115]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14544,plain,
% 23.35/23.55      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.55      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 23.35/23.55      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14543]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_112,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | X0 = X3 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8407_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14537,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | X0 = X3 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_112]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_109,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | X0 = X3 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8406_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14531,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | X0 = X3 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_109]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_106,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8405_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14525,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_106]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_104,plain,
% 23.35/23.55      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.55      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8404_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14521,plain,
% 23.35/23.55      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.55      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_104]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14522,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.55      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14521]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_102,plain,
% 23.35/23.55      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.55      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8403_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14517,plain,
% 23.35/23.55      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 23.35/23.55      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_102]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14518,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 23.35/23.55      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14517]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_100,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 23.35/23.55      | c_in(c_Pair(c_Main_OconverseE__1(X1,X0,X2,X3),c_Main_OconverseE__2(X1,X0,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8402_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14513,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 23.35/23.55      | c_in(c_Pair(c_Main_OconverseE__1(X1,X0,X2,X3),c_Main_OconverseE__2(X1,X0,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_100]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14514,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_OconverseE__1(X0,X1,X2,X3),c_Main_OconverseE__2(X0,X1,X2,X3),X2,X3),X0,tc_prod(X2,X3))
% 23.35/23.55      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14513]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_98,plain,
% 23.35/23.55      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X3,tc_nat)
% 23.35/23.55      | c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8401_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14509,plain,
% 23.35/23.55      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X3,tc_nat)
% 23.35/23.55      | c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_98]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14510,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.55      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14509]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_95,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8400_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14503,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_95]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14504,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14503]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_92,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8399_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14497,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_92]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14498,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14497]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_90,plain,
% 23.35/23.55      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.35/23.55      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8398_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14493,plain,
% 23.35/23.55      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.35/23.55      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_90]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_88,plain,
% 23.35/23.55      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.35/23.55      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8397_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14489,plain,
% 23.35/23.55      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 23.35/23.55      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_88]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_86,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 23.35/23.55      | c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X2,X3) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8396_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14485,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 23.35/23.55      | c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X2,X3) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_86]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14486,plain,
% 23.35/23.55      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 23.35/23.55      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14485]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_72,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OuprodE__1(X1,X2,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8391_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14457,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OuprodE__1(X1,X2,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_72]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14458,plain,
% 23.35/23.55      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14457]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_70,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OuprodE__2(X1,X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8390_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14453,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_in(c_Main_OuprodE__2(X1,X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_70]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14454,plain,
% 23.35/23.55      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14453]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_67,plain,
% 23.35/23.55      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.55      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.55      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8389_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14447,plain,
% 23.35/23.55      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.55      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 23.35/23.55      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_67]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_65,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X2,X3),c_Datatype__Universe_OIn1(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8388_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14443,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X2,X3),c_Datatype__Universe_OIn1(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_65]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14444,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_OIn1(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14443]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_63,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X2,X3),c_Datatype__Universe_OIn0(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8387_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14439,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X2,X3),c_Datatype__Universe_OIn0(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_63]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14440,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_OIn0(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14439]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_55,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X2 = X7 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8384_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14423,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X2 = X7 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_55]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_53,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X1 = X6 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8383_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14419,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X1 = X6 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_53]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_51,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X0 = X5 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8382_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14415,plain,
% 23.35/23.55      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 23.35/23.55      | X0 = X5 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_51]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_46,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.55      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8380_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14405,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 23.35/23.55      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_46]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_45,plain,
% 23.35/23.55      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 23.35/23.55      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8379_2) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14403,plain,
% 23.35/23.55      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 23.35/23.55      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_45]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_41,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X2,X0,X3,X4),c_Main_OuprodE__2(X1,X2,X0,X3,X4),X3,X4) = X0 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8378_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14395,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 23.35/23.55      | c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X2,X0,X3,X4),c_Main_OuprodE__2(X1,X2,X0,X3,X4),X3,X4) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_41]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_39,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X3) = X0 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8377_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14391,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X3) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_39]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_37,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X2) = X3 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8376_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14387,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X2) = X3 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_37]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_35,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 23.35/23.55      | c_in(c_Pair(c_Main_OImageE__1(X2,X0,X1,X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8375_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14383,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 23.35/23.55      | c_in(c_Pair(c_Main_OImageE__1(X2,X0,X1,X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_35]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14384,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 23.35/23.55      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14383]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_32,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8374_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14377,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_32]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_30,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),X1,X3,X3),X4,tc_prod(X3,X3)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8373_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14373,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),X1,X3,X3),X4,tc_prod(X3,X3)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_30]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14374,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 23.35/23.55      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14373]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_28,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8372_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14369,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_28]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_27,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8371_2) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14367,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_27]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_23,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8370_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14359,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 23.35/23.55      | c_in(c_Pair(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_23]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14360,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 23.35/23.55      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14359]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_21,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8369_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14355,plain,
% 23.35/23.55      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 23.35/23.55      | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_21]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_12,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdsumE__1(X1,X0,X3,X4),c_Main_OdsumE__2(X1,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdsumE__3(X2,X0,X3,X4),c_Main_OdsumE__4(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8366_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14337,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdsumE__1(X1,X0,X3,X4),c_Main_OdsumE__2(X1,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdsumE__3(X2,X0,X3,X4),c_Main_OdsumE__4(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_12]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14338,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 23.35/23.55      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14337]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_10,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8365_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14333,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_10]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14334,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14333]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_8,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8364_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14329,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_8]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14330,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14329]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_6,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8363_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14325,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 23.35/23.55      | c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_6]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_4,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X5,X4) = X0 ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8362_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14321,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X5,X4) = X0 ),
% 23.35/23.55      inference(copy,[status(esa)],[c_4]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_2,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),X5,X3),X2,tc_prod(X5,X3)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8361_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14317,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),X5,X3),X2,tc_prod(X5,X3)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_2]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14318,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),X5,X3),X1,tc_prod(X5,X3))
% 23.35/23.55      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14317]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_0,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.55      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_8360_0) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14313,plain,
% 23.35/23.55      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 23.35/23.55      | c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X3,X4),X1,tc_prod(X3,X4)) ),
% 23.35/23.55      inference(copy,[status(esa)],[c_0]) ).
% 23.35/23.55  
% 23.35/23.55  cnf(c_14314,plain,
% 23.35/23.55      ( c_in(c_Pair(c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X3,X4),X0,tc_prod(X3,X4))
% 23.35/23.55      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 23.35/23.55      inference(rewriting,[status(thm)],[c_14313]) ).
% 23.35/23.55  
% 23.35/23.55  
% 23.35/23.55  
% 23.35/23.55  % ------                             Statistics
% 23.35/23.55  
% 23.35/23.55  % ------ General
% 23.35/23.55  
% 23.35/23.55  % num_of_input_clauses:                 6014
% 23.35/23.55  % num_of_input_neg_conjectures:         1
% 23.35/23.55  % num_of_splits:                        0
% 23.35/23.55  % num_of_split_atoms:                   0
% 23.35/23.55  % num_of_sem_filtered_clauses:          0
% 23.35/23.55  % num_of_subtypes:                      0
% 23.35/23.55  % monotx_restored_types:                0
% 23.35/23.56  % sat_num_of_epr_types:                 0
% 23.35/23.56  % sat_num_of_non_cyclic_types:          0
% 23.35/23.56  % sat_guarded_non_collapsed_types:      0
% 23.35/23.56  % is_epr:                               0
% 23.35/23.56  % is_horn:                              0
% 23.35/23.56  % has_eq:                               1
% 23.35/23.56  % num_pure_diseq_elim:                  0
% 23.35/23.56  % simp_replaced_by:                     0
% 23.35/23.56  % res_preprocessed:                     2
% 23.35/23.56  % prep_upred:                           0
% 23.35/23.56  % prep_unflattend:                      0
% 23.35/23.56  % pred_elim_cands:                      0
% 23.35/23.56  % pred_elim:                            0
% 23.35/23.56  % pred_elim_cl:                         0
% 23.35/23.56  % pred_elim_cycles:                     0
% 23.35/23.56  % forced_gc_time:                       0
% 23.35/23.56  % gc_basic_clause_elim:                 0
% 23.35/23.56  % parsing_time:                         0.163
% 23.35/23.56  % sem_filter_time:                      0.
% 23.35/23.56  % pred_elim_time:                       0.
% 23.35/23.56  % out_proof_time:                       0.
% 23.35/23.56  % monotx_time:                          0.
% 23.35/23.56  % subtype_inf_time:                     0.
% 23.35/23.56  % unif_index_cands_time:                0.
% 23.35/23.56  % unif_index_add_time:                  0.002
% 23.35/23.56  % total_time:                           22.775
% 23.35/23.56  % num_of_symbols:                       358
% 23.35/23.56  % num_of_terms:                         10316
% 23.35/23.56  
% 23.35/23.56  % ------ Propositional Solver
% 23.35/23.56  
% 23.35/23.56  % prop_solver_calls:                    1
% 23.35/23.56  % prop_fast_solver_calls:               3
% 23.35/23.56  % prop_num_of_clauses:                  6008
% 23.35/23.56  % prop_preprocess_simplified:           17690
% 23.35/23.56  % prop_fo_subsumed:                     0
% 23.35/23.56  % prop_solver_time:                     0.
% 23.35/23.56  % prop_fast_solver_time:                0.
% 23.35/23.56  % prop_unsat_core_time:                 0.
% 23.35/23.56  
% 23.35/23.56  % ------ QBF 
% 23.35/23.56  
% 23.35/23.56  % qbf_q_res:                            0
% 23.35/23.56  % qbf_num_tautologies:                  0
% 23.35/23.56  % qbf_prep_cycles:                      0
% 23.35/23.56  
% 23.35/23.56  % ------ BMC1
% 23.35/23.56  
% 23.35/23.56  % bmc1_current_bound:                   -1
% 23.35/23.56  % bmc1_last_solved_bound:               -1
% 23.35/23.56  % bmc1_unsat_core_size:                 -1
% 23.35/23.56  % bmc1_unsat_core_parents_size:         -1
% 23.35/23.56  % bmc1_merge_next_fun:                  0
% 23.35/23.56  % bmc1_unsat_core_clauses_time:         0.
% 23.35/23.56  
% 23.35/23.56  % ------ Instantiation
% 23.35/23.56  
% 23.35/23.56  % inst_num_of_clauses:                  5897
% 23.35/23.56  % inst_num_in_passive:                  0
% 23.35/23.56  % inst_num_in_active:                   0
% 23.35/23.56  % inst_num_in_unprocessed:              6014
% 23.35/23.56  % inst_num_of_loops:                    0
% 23.35/23.56  % inst_num_of_learning_restarts:        0
% 23.35/23.56  % inst_num_moves_active_passive:        0
% 23.35/23.56  % inst_lit_activity:                    0
% 23.35/23.56  % inst_lit_activity_moves:              0
% 23.35/23.56  % inst_num_tautologies:                 0
% 23.35/23.56  % inst_num_prop_implied:                0
% 23.35/23.56  % inst_num_existing_simplified:         0
% 23.35/23.56  % inst_num_eq_res_simplified:           0
% 23.35/23.56  % inst_num_child_elim:                  0
% 23.35/23.56  % inst_num_of_dismatching_blockings:    0
% 23.35/23.56  % inst_num_of_non_proper_insts:         0
% 23.35/23.56  % inst_num_of_duplicates:               0
% 23.35/23.56  % inst_inst_num_from_inst_to_res:       0
% 23.35/23.56  % inst_dismatching_checking_time:       0.
% 23.35/23.56  
% 23.35/23.56  % ------ Resolution
% 23.35/23.56  
% 23.35/23.56  % res_num_of_clauses:                   6289
% 23.35/23.56  % res_num_in_passive:                   0
% 23.35/23.56  % res_num_in_active:                    2370
% 23.35/23.56  % res_num_of_loops:                     2
% 23.35/23.56  % res_forward_subset_subsumed:          3229
% 23.35/23.56  % res_backward_subset_subsumed:         0
% 23.35/23.56  % res_forward_subsumed:                 0
% 23.35/23.56  % res_backward_subsumed:                0
% 23.35/23.56  % res_forward_subsumption_resolution:   0
% 23.35/23.56  % res_backward_subsumption_resolution:  0
% 23.35/23.56  % res_clause_to_clause_subsumption:     0
% 23.35/23.56  % res_orphan_elimination:               0
% 23.35/23.56  % res_tautology_del:                    0
% 23.35/23.56  % res_num_eq_res_simplified:            0
% 23.35/23.56  % res_num_sel_changes:                  0
% 23.35/23.56  % res_moves_from_active_to_pass:        0
% 23.35/23.56  
% 23.35/23.56  % Status Unknown
% 23.43/23.89  % Orienting using strategy ClausalAll
% 23.43/23.89  % Orientation found
% 23.43/23.89  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7633a6.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9591ab.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c94df9 | grep -v "SZS"
% 23.43/23.90  
% 23.43/23.90  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 23.43/23.90  
% 23.43/23.90  % 
% 23.43/23.90  % ------  iProver source info 
% 23.43/23.90  
% 23.43/23.90  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 23.43/23.90  % git: non_committed_changes: true
% 23.43/23.90  % git: last_make_outside_of_git: true
% 23.43/23.90  
% 23.43/23.90  % 
% 23.43/23.90  % ------ Input Options
% 23.43/23.90  
% 23.43/23.90  % --out_options                         all
% 23.43/23.90  % --tptp_safe_out                       true
% 23.43/23.90  % --problem_path                        ""
% 23.43/23.90  % --include_path                        ""
% 23.43/23.90  % --clausifier                          .//eprover
% 23.43/23.90  % --clausifier_options                  --tstp-format  
% 23.43/23.90  % --stdin                               false
% 23.43/23.90  % --dbg_backtrace                       false
% 23.43/23.90  % --dbg_dump_prop_clauses               false
% 23.43/23.90  % --dbg_dump_prop_clauses_file          -
% 23.43/23.90  % --dbg_out_stat                        false
% 23.43/23.90  
% 23.43/23.90  % ------ General Options
% 23.43/23.90  
% 23.43/23.90  % --fof                                 false
% 23.43/23.90  % --time_out_real                       150.
% 23.43/23.90  % --time_out_prep_mult                  0.2
% 23.43/23.90  % --time_out_virtual                    -1.
% 23.43/23.90  % --schedule                            none
% 23.43/23.90  % --ground_splitting                    input
% 23.43/23.90  % --splitting_nvd                       16
% 23.43/23.90  % --non_eq_to_eq                        false
% 23.43/23.90  % --prep_gs_sim                         true
% 23.43/23.90  % --prep_unflatten                      false
% 23.43/23.90  % --prep_res_sim                        true
% 23.43/23.90  % --prep_upred                          true
% 23.43/23.90  % --res_sim_input                       true
% 23.43/23.90  % --clause_weak_htbl                    true
% 23.43/23.90  % --gc_record_bc_elim                   false
% 23.43/23.90  % --symbol_type_check                   false
% 23.43/23.90  % --clausify_out                        false
% 23.43/23.90  % --large_theory_mode                   false
% 23.43/23.90  % --prep_sem_filter                     none
% 23.43/23.90  % --prep_sem_filter_out                 false
% 23.43/23.90  % --preprocessed_out                    false
% 23.43/23.90  % --sub_typing                          false
% 23.43/23.90  % --brand_transform                     false
% 23.43/23.90  % --pure_diseq_elim                     true
% 23.43/23.90  % --min_unsat_core                      false
% 23.43/23.90  % --pred_elim                           true
% 23.43/23.90  % --add_important_lit                   false
% 23.43/23.90  % --soft_assumptions                    false
% 23.43/23.90  % --reset_solvers                       false
% 23.43/23.90  % --bc_imp_inh                          []
% 23.43/23.90  % --conj_cone_tolerance                 1.5
% 23.43/23.90  % --prolific_symb_bound                 500
% 23.43/23.90  % --lt_threshold                        2000
% 23.43/23.90  
% 23.43/23.90  % ------ SAT Options
% 23.43/23.90  
% 23.43/23.90  % --sat_mode                            false
% 23.43/23.90  % --sat_fm_restart_options              ""
% 23.43/23.90  % --sat_gr_def                          false
% 23.43/23.90  % --sat_epr_types                       true
% 23.43/23.90  % --sat_non_cyclic_types                false
% 23.43/23.90  % --sat_finite_models                   false
% 23.43/23.90  % --sat_fm_lemmas                       false
% 23.43/23.90  % --sat_fm_prep                         false
% 23.43/23.90  % --sat_fm_uc_incr                      true
% 23.43/23.90  % --sat_out_model                       small
% 23.43/23.90  % --sat_out_clauses                     false
% 23.43/23.90  
% 23.43/23.90  % ------ QBF Options
% 23.43/23.90  
% 23.43/23.90  % --qbf_mode                            false
% 23.43/23.90  % --qbf_elim_univ                       true
% 23.43/23.90  % --qbf_sk_in                           true
% 23.43/23.90  % --qbf_pred_elim                       true
% 23.43/23.90  % --qbf_split                           32
% 23.43/23.90  
% 23.43/23.90  % ------ BMC1 Options
% 23.43/23.90  
% 23.43/23.90  % --bmc1_incremental                    false
% 23.43/23.90  % --bmc1_axioms                         reachable_all
% 23.43/23.90  % --bmc1_min_bound                      0
% 23.43/23.90  % --bmc1_max_bound                      -1
% 23.43/23.90  % --bmc1_max_bound_default              -1
% 23.43/23.90  % --bmc1_symbol_reachability            true
% 23.43/23.90  % --bmc1_property_lemmas                false
% 23.43/23.90  % --bmc1_k_induction                    false
% 23.43/23.90  % --bmc1_non_equiv_states               false
% 23.43/23.90  % --bmc1_deadlock                       false
% 23.43/23.90  % --bmc1_ucm                            false
% 23.43/23.90  % --bmc1_add_unsat_core                 none
% 23.43/23.90  % --bmc1_unsat_core_children            false
% 23.43/23.90  % --bmc1_unsat_core_extrapolate_axioms  false
% 23.43/23.90  % --bmc1_out_stat                       full
% 23.43/23.90  % --bmc1_ground_init                    false
% 23.43/23.90  % --bmc1_pre_inst_next_state            false
% 23.43/23.90  % --bmc1_pre_inst_state                 false
% 23.43/23.90  % --bmc1_pre_inst_reach_state           false
% 23.43/23.90  % --bmc1_out_unsat_core                 false
% 23.43/23.90  % --bmc1_aig_witness_out                false
% 23.43/23.90  % --bmc1_verbose                        false
% 23.43/23.90  % --bmc1_dump_clauses_tptp              false
% 31.16/31.74  % --bmc1_dump_unsat_core_tptp           false
% 31.16/31.74  % --bmc1_dump_file                      -
% 31.16/31.74  % --bmc1_ucm_expand_uc_limit            128
% 31.16/31.74  % --bmc1_ucm_n_expand_iterations        6
% 31.16/31.74  % --bmc1_ucm_extend_mode                1
% 31.16/31.74  % --bmc1_ucm_init_mode                  2
% 31.16/31.74  % --bmc1_ucm_cone_mode                  none
% 31.16/31.74  % --bmc1_ucm_reduced_relation_type      0
% 31.16/31.74  % --bmc1_ucm_relax_model                4
% 31.16/31.74  % --bmc1_ucm_full_tr_after_sat          true
% 31.16/31.74  % --bmc1_ucm_expand_neg_assumptions     false
% 31.16/31.74  % --bmc1_ucm_layered_model              none
% 31.16/31.74  % --bmc1_ucm_max_lemma_size             10
% 31.16/31.74  
% 31.16/31.74  % ------ AIG Options
% 31.16/31.74  
% 31.16/31.74  % --aig_mode                            false
% 31.16/31.74  
% 31.16/31.74  % ------ Instantiation Options
% 31.16/31.74  
% 31.16/31.74  % --instantiation_flag                  true
% 31.16/31.74  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 31.16/31.74  % --inst_solver_per_active              750
% 31.16/31.74  % --inst_solver_calls_frac              0.5
% 31.16/31.74  % --inst_passive_queue_type             priority_queues
% 31.16/31.74  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 31.16/31.74  % --inst_passive_queues_freq            [25;2]
% 31.16/31.74  % --inst_dismatching                    true
% 31.16/31.74  % --inst_eager_unprocessed_to_passive   true
% 31.16/31.74  % --inst_prop_sim_given                 true
% 31.16/31.74  % --inst_prop_sim_new                   false
% 31.16/31.74  % --inst_orphan_elimination             true
% 31.16/31.74  % --inst_learning_loop_flag             true
% 31.16/31.74  % --inst_learning_start                 3000
% 31.16/31.74  % --inst_learning_factor                2
% 31.16/31.74  % --inst_start_prop_sim_after_learn     3
% 31.16/31.74  % --inst_sel_renew                      solver
% 31.16/31.74  % --inst_lit_activity_flag              true
% 31.16/31.74  % --inst_out_proof                      true
% 31.16/31.74  
% 31.16/31.74  % ------ Resolution Options
% 31.16/31.74  
% 31.16/31.74  % --resolution_flag                     true
% 31.16/31.74  % --res_lit_sel                         kbo_max
% 31.16/31.74  % --res_to_prop_solver                  none
% 31.16/31.74  % --res_prop_simpl_new                  false
% 31.16/31.74  % --res_prop_simpl_given                false
% 31.16/31.74  % --res_passive_queue_type              priority_queues
% 31.16/31.74  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.16/31.74  % --res_passive_queues_freq             [15;5]
% 31.16/31.74  % --res_forward_subs                    full
% 31.16/31.74  % --res_backward_subs                   full
% 31.16/31.74  % --res_forward_subs_resolution         true
% 31.16/31.74  % --res_backward_subs_resolution        true
% 31.16/31.74  % --res_orphan_elimination              false
% 31.16/31.74  % --res_time_limit                      1000.
% 31.16/31.74  % --res_out_proof                       true
% 31.16/31.74  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7633a6.s
% 31.16/31.74  % --modulo                              true
% 31.16/31.74  
% 31.16/31.74  % ------ Combination Options
% 31.16/31.74  
% 31.16/31.74  % --comb_res_mult                       1000
% 31.16/31.74  % --comb_inst_mult                      300
% 31.16/31.74  % ------ 
% 31.16/31.74  
% 31.16/31.74  % ------ Parsing...% successful
% 31.16/31.74  
% 31.16/31.74  % ------ 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 % 
% 31.16/31.74  
% 31.16/31.74  % ------ Proving...
% 31.16/31.74  % ------ Problem Properties 
% 31.16/31.74  
% 31.16/31.74  % 
% 31.16/31.74  % EPR                                   false
% 31.16/31.74  % Horn                                  false
% 31.16/31.74  % Has equality                          true
% 31.16/31.74  
% 31.16/31.74  % % ------ Input Options Time Limit: Unbounded
% 31.16/31.74  
% 31.16/31.74  
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 31.16/31.74  Loading plugin: done.
% 31.16/31.74  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  Compiling...
% 41.67/41.90  Loading plugin: done.
% 41.67/41.90  % % ------ Current options:
% 41.67/41.90  
% 41.67/41.90  % ------ Input Options
% 41.67/41.90  
% 41.67/41.90  % --out_options                         all
% 41.67/41.90  % --tptp_safe_out                       true
% 41.67/41.90  % --problem_path                        ""
% 41.67/41.90  % --include_path                        ""
% 41.67/41.90  % --clausifier                          .//eprover
% 41.67/41.90  % --clausifier_options                  --tstp-format  
% 41.67/41.90  % --stdin                               false
% 41.67/41.90  % --dbg_backtrace                       false
% 41.67/41.90  % --dbg_dump_prop_clauses               false
% 41.67/41.90  % --dbg_dump_prop_clauses_file          -
% 41.67/41.90  % --dbg_out_stat                        false
% 41.67/41.90  
% 41.67/41.90  % ------ General Options
% 41.67/41.90  
% 41.67/41.90  % --fof                                 false
% 41.67/41.90  % --time_out_real                       150.
% 41.67/41.90  % --time_out_prep_mult                  0.2
% 41.67/41.90  % --time_out_virtual                    -1.
% 41.67/41.90  % --schedule                            none
% 41.67/41.90  % --ground_splitting                    input
% 41.67/41.90  % --splitting_nvd                       16
% 41.67/41.90  % --non_eq_to_eq                        false
% 41.67/41.90  % --prep_gs_sim                         true
% 41.67/41.90  % --prep_unflatten                      false
% 41.67/41.90  % --prep_res_sim                        true
% 41.67/41.90  % --prep_upred                          true
% 41.67/41.90  % --res_sim_input                       true
% 41.67/41.90  % --clause_weak_htbl                    true
% 41.67/41.90  % --gc_record_bc_elim                   false
% 41.67/41.90  % --symbol_type_check                   false
% 41.67/41.90  % --clausify_out                        false
% 41.67/41.90  % --large_theory_mode                   false
% 41.67/41.90  % --prep_sem_filter                     none
% 41.67/41.90  % --prep_sem_filter_out                 false
% 41.67/41.90  % --preprocessed_out                    false
% 41.67/41.90  % --sub_typing                          false
% 41.67/41.90  % --brand_transform                     false
% 41.67/41.90  % --pure_diseq_elim                     true
% 41.67/41.90  % --min_unsat_core                      false
% 41.67/41.90  % --pred_elim                           true
% 41.67/41.90  % --add_important_lit                   false
% 41.67/41.90  % --soft_assumptions                    false
% 41.67/41.90  % --reset_solvers                       false
% 41.67/41.90  % --bc_imp_inh                          []
% 41.67/41.90  % --conj_cone_tolerance                 1.5
% 41.67/41.90  % --prolific_symb_bound                 500
% 41.67/41.90  % --lt_threshold                        2000
% 41.67/41.90  
% 41.67/41.90  % ------ SAT Options
% 41.67/41.90  
% 41.67/41.90  % --sat_mode                            false
% 41.67/41.90  % --sat_fm_restart_options              ""
% 41.67/41.90  % --sat_gr_def                          false
% 41.67/41.90  % --sat_epr_types                       true
% 41.67/41.90  % --sat_non_cyclic_types                false
% 41.67/41.90  % --sat_finite_models                   false
% 41.67/41.90  % --sat_fm_lemmas                       false
% 41.67/41.90  % --sat_fm_prep                         false
% 41.67/41.90  % --sat_fm_uc_incr                      true
% 41.67/41.90  % --sat_out_model                       small
% 41.67/41.90  % --sat_out_clauses                     false
% 41.67/41.90  
% 41.67/41.90  % ------ QBF Options
% 41.67/41.90  
% 41.67/41.90  % --qbf_mode                            false
% 41.67/41.90  % --qbf_elim_univ                       true
% 41.67/41.90  % --qbf_sk_in                           true
% 41.67/41.90  % --qbf_pred_elim                       true
% 41.67/41.90  % --qbf_split                           32
% 41.67/41.90  
% 41.67/41.90  % ------ BMC1 Options
% 41.67/41.90  
% 41.67/41.90  % --bmc1_incremental                    false
% 41.67/41.90  % --bmc1_axioms                         reachable_all
% 41.67/41.90  % --bmc1_min_bound                      0
% 41.67/41.90  % --bmc1_max_bound                      -1
% 41.67/41.90  % --bmc1_max_bound_default              -1
% 41.67/41.90  % --bmc1_symbol_reachability            true
% 41.67/41.90  % --bmc1_property_lemmas                false
% 41.67/41.90  % --bmc1_k_induction                    false
% 41.67/41.90  % --bmc1_non_equiv_states               false
% 41.67/41.90  % --bmc1_deadlock                       false
% 41.67/41.90  % --bmc1_ucm                            false
% 41.67/41.90  % --bmc1_add_unsat_core                 none
% 41.67/41.90  % --bmc1_unsat_core_children            false
% 41.67/41.90  % --bmc1_unsat_core_extrapolate_axioms  false
% 41.67/41.90  % --bmc1_out_stat                       full
% 41.67/41.90  % --bmc1_ground_init                    false
% 41.67/41.90  % --bmc1_pre_inst_next_state            false
% 41.67/41.90  % --bmc1_pre_inst_state                 false
% 41.67/41.90  % --bmc1_pre_inst_reach_state           false
% 41.67/41.90  % --bmc1_out_unsat_core                 false
% 41.67/41.90  % --bmc1_aig_witness_out                false
% 41.67/41.90  % --bmc1_verbose                        false
% 41.67/41.90  % --bmc1_dump_clauses_tptp              false
% 41.67/41.90  % --bmc1_dump_unsat_core_tptp           false
% 41.67/41.90  % --bmc1_dump_file                      -
% 41.67/41.90  % --bmc1_ucm_expand_uc_limit            128
% 41.67/41.90  % --bmc1_ucm_n_expand_iterations        6
% 41.67/41.90  % --bmc1_ucm_extend_mode                1
% 41.67/41.90  % --bmc1_ucm_init_mode                  2
% 41.67/41.90  % --bmc1_ucm_cone_mode                  none
% 41.67/41.90  % --bmc1_ucm_reduced_relation_type      0
% 41.67/41.90  % --bmc1_ucm_relax_model                4
% 41.67/41.90  % --bmc1_ucm_full_tr_after_sat          true
% 41.67/41.90  % --bmc1_ucm_expand_neg_assumptions     false
% 41.67/41.90  % --bmc1_ucm_layered_model              none
% 41.67/41.90  % --bmc1_ucm_max_lemma_size             10
% 41.67/41.90  
% 41.67/41.90  % ------ AIG Options
% 41.67/41.90  
% 41.67/41.90  % --aig_mode                            false
% 41.67/41.90  
% 41.67/41.90  % ------ Instantiation Options
% 41.67/41.90  
% 41.67/41.90  % --instantiation_flag                  true
% 41.67/41.90  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 41.67/41.90  % --inst_solver_per_active              750
% 41.67/41.90  % --inst_solver_calls_frac              0.5
% 41.67/41.90  % --inst_passive_queue_type             priority_queues
% 41.67/41.90  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 41.67/41.90  % --inst_passive_queues_freq            [25;2]
% 41.67/41.90  % --inst_dismatching                    true
% 41.67/41.90  % --inst_eager_unprocessed_to_passive   true
% 41.67/41.90  % --inst_prop_sim_given                 true
% 41.67/41.90  % --inst_prop_sim_new                   false
% 41.67/41.90  % --inst_orphan_elimination             true
% 41.67/41.90  % --inst_learning_loop_flag             true
% 41.67/41.90  % --inst_learning_start                 3000
% 41.67/41.90  % --inst_learning_factor                2
% 41.67/41.90  % --inst_start_prop_sim_after_learn     3
% 41.67/41.90  % --inst_sel_renew                      solver
% 41.67/41.90  % --inst_lit_activity_flag              true
% 41.67/41.90  % --inst_out_proof                      true
% 41.67/41.90  
% 41.67/41.90  % ------ Resolution Options
% 41.67/41.90  
% 41.67/41.90  % --resolution_flag                     true
% 41.67/41.90  % --res_lit_sel                         kbo_max
% 41.67/41.90  % --res_to_prop_solver                  none
% 41.67/41.90  % --res_prop_simpl_new                  false
% 41.67/41.90  % --res_prop_simpl_given                false
% 41.67/41.90  % --res_passive_queue_type              priority_queues
% 41.67/41.90  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 41.67/41.90  % --res_passive_queues_freq             [15;5]
% 41.67/41.90  % --res_forward_subs                    full
% 41.67/41.90  % --res_backward_subs                   full
% 41.67/41.90  % --res_forward_subs_resolution         true
% 41.67/41.90  % --res_backward_subs_resolution        true
% 41.67/41.90  % --res_orphan_elimination              false
% 41.67/41.90  % --res_time_limit                      1000.
% 41.67/41.90  % --res_out_proof                       true
% 41.67/41.90  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7633a6.s
% 41.67/41.90  % --modulo                              true
% 41.67/41.90  
% 41.67/41.90  % ------ Combination Options
% 41.67/41.90  
% 41.67/41.90  % --comb_res_mult                       1000
% 41.67/41.90  % --comb_inst_mult                      300
% 41.67/41.90  % ------ 
% 41.67/41.90  
% 41.67/41.90  
% 41.67/41.90  
% 41.67/41.90  % ------ Proving...
% 41.67/41.90  % warning:  shown sat in sat incomplete mode 
% 41.67/41.90  % 
% 41.67/41.90  
% 41.67/41.90  
% 41.67/41.90  
% 41.67/41.90  
% 41.67/41.90  cnf(c_5998,plain,
% 41.67/41.90      ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.67/41.90      | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.67/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.67/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11010_2) ).
% 41.67/41.90  
% 41.67/41.90  cnf(c_25974,plain,
% 41.67/41.90      ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.67/41.90      | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5998]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25975,plain,
% 41.75/41.90      ( c_in(c_Pair(c_Main_OdsumE__1(X0,X1,X2,X3),c_Main_OdsumE__2(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25974]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5995,plain,
% 41.75/41.90      ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.90      | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11011_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25968,plain,
% 41.75/41.90      ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.90      | c_in(c_Pair(c_Main_OdsumE__1(X4,X1,X2,X3),c_Main_OdsumE__2(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5995]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25969,plain,
% 41.75/41.90      ( c_in(c_Pair(c_Main_OdsumE__1(X0,X1,X2,X3),c_Main_OdsumE__2(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25968]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5992,plain,
% 41.75/41.90      ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.90      | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11012_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25962,plain,
% 41.75/41.90      ( c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.90      | c_in(c_Pair(c_Main_OdsumE__3(X4,X1,X2,X3),c_Main_OdsumE__4(X4,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X0,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5992]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25963,plain,
% 41.75/41.90      ( c_in(c_Pair(c_Main_OdsumE__3(X0,X1,X2,X3),c_Main_OdsumE__4(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25962]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5986,plain,
% 41.75/41.90      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11015_1) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25950,plain,
% 41.75/41.90      ( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | c_in(c_Pair(c_Datatype__Universe_OScons(X5,X0,X2,X3),c_Datatype__Universe_OScons(X6,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X7,X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5986]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25951,plain,
% 41.75/41.90      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.90      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25950]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5968,plain,
% 41.75/41.90      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.90      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 41.75/41.90      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11023_1) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25914,plain,
% 41.75/41.90      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.90      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 41.75/41.90      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5968]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25915,plain,
% 41.75/41.90      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 41.75/41.90      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 41.75/41.90      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25914]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5962,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11028_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25902,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5962]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25903,plain,
% 41.75/41.90      ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25902]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5950,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11033_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25878,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5950]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25879,plain,
% 41.75/41.90      ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25878]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5943,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11036_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25864,plain,
% 41.75/41.90      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5943]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25865,plain,
% 41.75/41.90      ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25864]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5933,plain,
% 41.75/41.90      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11040_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25844,plain,
% 41.75/41.90      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5933]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25845,plain,
% 41.75/41.90      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25844]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5927,plain,
% 41.75/41.90      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11042_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25832,plain,
% 41.75/41.90      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5927]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25833,plain,
% 41.75/41.90      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.90      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25832]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5895,plain,
% 41.75/41.90      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11059_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25768,plain,
% 41.75/41.90      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5895]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25769,plain,
% 41.75/41.90      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25768]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5892,plain,
% 41.75/41.90      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11060_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25762,plain,
% 41.75/41.90      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5892]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25763,plain,
% 41.75/41.90      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25762]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5889,plain,
% 41.75/41.90      ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11061_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25756,plain,
% 41.75/41.90      ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5889]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25757,plain,
% 41.75/41.90      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.90      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25756]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5877,plain,
% 41.75/41.90      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.90      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 41.75/41.90      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11066_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25732,plain,
% 41.75/41.90      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.90      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 41.75/41.90      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5877]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25733,plain,
% 41.75/41.90      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.90      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 41.75/41.90      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25732]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5869,plain,
% 41.75/41.90      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11069_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25716,plain,
% 41.75/41.90      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5869]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25717,plain,
% 41.75/41.90      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 41.75/41.90      | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25716]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5866,plain,
% 41.75/41.90      ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11070_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25710,plain,
% 41.75/41.90      ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.90      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5866]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25711,plain,
% 41.75/41.90      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 41.75/41.90      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25710]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5863,plain,
% 41.75/41.90      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 41.75/41.90      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11071_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25704,plain,
% 41.75/41.90      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 41.75/41.90      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5863]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25705,plain,
% 41.75/41.90      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 41.75/41.90      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 41.75/41.90      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25704]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5850,plain,
% 41.75/41.90      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.90      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.90      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11078_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25678,plain,
% 41.75/41.90      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.90      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.90      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5850]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25679,plain,
% 41.75/41.90      ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.90      | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 41.75/41.90      | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25678]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5833,plain,
% 41.75/41.90      ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 41.75/41.90      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 41.75/41.90      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11085_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25644,plain,
% 41.75/41.90      ( c_append(c_List_Ozip(X0,X1,X2,X3),c_List_Ozip(X4,X5,X2,X3),tc_prod(X2,X3)) = c_List_Ozip(c_append(X0,X4,X2),c_append(X1,X5,X3),X2,X3)
% 41.75/41.90      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 41.75/41.90      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5833]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25645,plain,
% 41.75/41.90      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.90      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 41.75/41.90      | c_append(c_List_Ozip(X0,X2,X1,X3),c_List_Ozip(X4,X5,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X0,X4,X1),c_append(X2,X5,X3),X1,X3) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25644]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5826,plain,
% 41.75/41.90      ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11090_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25630,plain,
% 41.75/41.90      ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.90      | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5826]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25631,plain,
% 41.75/41.90      ( ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25630]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5823,plain,
% 41.75/41.90      ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11091_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25624,plain,
% 41.75/41.90      ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5823]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25625,plain,
% 41.75/41.90      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25624]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5817,plain,
% 41.75/41.90      ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11093_2) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25612,plain,
% 41.75/41.90      ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(copy,[status(esa)],[c_5817]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_25613,plain,
% 41.75/41.90      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.90      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.90      inference(rewriting,[status(thm)],[c_25612]) ).
% 41.75/41.90  
% 41.75/41.90  cnf(c_5809,plain,
% 41.75/41.90      ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 41.75/41.90      | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 41.75/41.91      | ~ c_in(X5,X2,X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11097_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25596,plain,
% 41.75/41.91      ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 41.75/41.91      | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 41.75/41.91      | ~ c_in(X5,X2,X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5809]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25597,plain,
% 41.75/41.91      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.91      | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 41.75/41.91      | ~ c_in(X0,X5,X2) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25596]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5803,plain,
% 41.75/41.91      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11101_1) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25584,plain,
% 41.75/41.91      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | c_in(c_Datatype__Universe_OScons(X4,X0,X2,X3),c_Datatype__Universe_Ouprod(X5,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5803]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25585,plain,
% 41.75/41.91      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.91      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25584]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5799,plain,
% 41.75/41.91      ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.91      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11102_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25576,plain,
% 41.75/41.91      ( c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.91      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5799]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25577,plain,
% 41.75/41.91      ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) = c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25576]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5793,plain,
% 41.75/41.91      ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 41.75/41.91      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 41.75/41.91      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11104_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25564,plain,
% 41.75/41.91      ( c_Pair(c_List_Onth(X0,X1,X2),c_List_Onth(X3,X1,X4),X2,X4) = c_List_Onth(c_List_Ozip(X0,X3,X2,X4),X1,tc_prod(X2,X4))
% 41.75/41.91      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 41.75/41.91      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5793]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25565,plain,
% 41.75/41.91      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.91      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 41.75/41.91      | c_Pair(c_List_Onth(X1,X0,X2),c_List_Onth(X3,X0,X4),X2,X4) = c_List_Onth(c_List_Ozip(X1,X3,X2,X4),X0,tc_prod(X2,X4)) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25564]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5787,plain,
% 41.75/41.91      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.91      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 41.75/41.91      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11110_1) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25552,plain,
% 41.75/41.91      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.91      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 41.75/41.91      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5787]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25553,plain,
% 41.75/41.91      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 41.75/41.91      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 41.75/41.91      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25552]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5768,plain,
% 41.75/41.91      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11122_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25514,plain,
% 41.75/41.91      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5768]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25515,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25514]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5761,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11123_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25500,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5761]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25501,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25500]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5754,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11124_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25486,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5754]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25487,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25486]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5747,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11125_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25472,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5747]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25473,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25472]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5740,plain,
% 41.75/41.91      ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11131_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25458,plain,
% 41.75/41.91      ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5740]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25459,plain,
% 41.75/41.91      ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.91      | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25458]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5733,plain,
% 41.75/41.91      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11132_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25444,plain,
% 41.75/41.91      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5733]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25445,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_less(X1,c_0,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25444]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5726,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11133_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25430,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5726]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25431,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.91      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25430]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5719,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11134_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25416,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5719]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25417,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_less(c_0,X1,X0)
% 41.75/41.91      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25416]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5712,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11135_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25402,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5712]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25403,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25402]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5709,plain,
% 41.75/41.91      ( c_Nat_Opower(c_uminus(X0,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1) = c_Nat_Opower(X0,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.91      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11136_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25396,plain,
% 41.75/41.91      ( c_Nat_Opower(c_uminus(X0,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1) = c_Nat_Opower(X0,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.91      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5709]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25397,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.91      | ~ class_Power_Orecpower(X0)
% 41.75/41.91      | c_Nat_Opower(c_uminus(X1,X0),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) = c_Nat_Opower(X1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X2,tc_nat),X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25396]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5694,plain,
% 41.75/41.91      ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 41.75/41.91      | c_in(X4,c_List_Oset(X0,X2),X2)
% 41.75/41.91      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11146_2) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25366,plain,
% 41.75/41.91      ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 41.75/41.91      | c_in(X4,c_List_Oset(X0,X2),X2)
% 41.75/41.91      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5694]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25367,plain,
% 41.75/41.91      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.91      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 41.75/41.91      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25366]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5690,plain,
% 41.75/41.91      ( c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 41.75/41.91      | ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11147_3) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25358,plain,
% 41.75/41.91      ( c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 41.75/41.91      | ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5690]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25359,plain,
% 41.75/41.91      ( ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 41.75/41.91      | ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.91      | ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25358]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5675,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11156_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25328,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5675]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25329,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | c_less(X3,X2,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25328]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5670,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11157_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25318,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5670]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25319,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | c_less(X2,X3,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25318]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5665,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11158_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25308,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5665]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25309,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.91      | c_less(X3,X2,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25308]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5660,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11159_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25298,plain,
% 41.75/41.91      ( c_less(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5660]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25299,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.91      | c_less(X2,X3,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25298]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5655,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11160_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25288,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5655]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25289,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X3,X1,X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25288]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5650,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11161_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25278,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5650]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25279,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X1,X3,X0)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25278]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5645,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11162_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25268,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5645]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25269,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.91      | c_lessequals(X3,X2,X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25268]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5640,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11163_4) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25258,plain,
% 41.75/41.91      ( c_lessequals(X0,X1,X2)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5640]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25259,plain,
% 41.75/41.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.91      | ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.91      | c_lessequals(X2,X3,X0)
% 41.75/41.91      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25258]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5633,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11164_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25244,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5633]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25245,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25244]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5626,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11165_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25230,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5626]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25231,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25230]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5619,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11166_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25216,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5619]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25217,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25216]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5612,plain,
% 41.75/41.91      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11167_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25202,plain,
% 41.75/41.91      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5612]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25203,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25202]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5605,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11168_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25188,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5605]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25189,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25188]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5598,plain,
% 41.75/41.91      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11169_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25174,plain,
% 41.75/41.91      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5598]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25175,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25174]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5591,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11170_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25160,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5591]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25161,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25160]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5584,plain,
% 41.75/41.91      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11171_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25146,plain,
% 41.75/41.91      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5584]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25147,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.91      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25146]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5571,plain,
% 41.75/41.91      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 41.75/41.91      | ~ c_less(X2,c_0,X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11177_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25120,plain,
% 41.75/41.91      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 41.75/41.91      | ~ c_less(X2,c_0,X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5571]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25121,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_less(X2,c_0,X0)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25120]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5564,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(X2,c_0,X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11178_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25106,plain,
% 41.75/41.91      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.91      | ~ c_less(X2,c_0,X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.91      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5564]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25107,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(X2,c_0,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25106]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5557,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11179_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25092,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.91      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5557]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25093,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.91      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.91      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25092]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5550,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11180_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25078,plain,
% 41.75/41.91      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.91      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.91      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.91      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5550]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25079,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.91      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25078]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5543,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11181_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25064,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5543]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25065,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_less(c_0,X1,X0)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.91      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.91      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25064]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5536,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11182_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25050,plain,
% 41.75/41.91      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.91      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.91      | ~ c_less(c_0,X3,X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5536]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25051,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.91      | ~ c_less(c_0,X2,X0)
% 41.75/41.91      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.91      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25050]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5529,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11183_6) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25036,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.91      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.91      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.91      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.91      inference(copy,[status(esa)],[c_5529]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_25037,plain,
% 41.75/41.91      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.91      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.91      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 41.75/41.91      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.91      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.91      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.91      inference(rewriting,[status(thm)],[c_25036]) ).
% 41.75/41.91  
% 41.75/41.91  cnf(c_5522,plain,
% 41.75/41.91      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.92      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11184_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_25022,plain,
% 41.75/41.92      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 41.75/41.92      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5522]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_25023,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.92      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.92      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_25022]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5516,plain,
% 41.75/41.92      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11187_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_25010,plain,
% 41.75/41.92      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5516]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_25011,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.92      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_25010]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5510,plain,
% 41.75/41.92      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11188_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24998,plain,
% 41.75/41.92      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5510]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24999,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.92      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24998]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5504,plain,
% 41.75/41.92      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11189_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24986,plain,
% 41.75/41.92      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5504]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24987,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.92      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24986]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5498,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11190_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24974,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5498]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24975,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.92      | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24974]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5492,plain,
% 41.75/41.92      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11191_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24962,plain,
% 41.75/41.92      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5492]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24963,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.92      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24962]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5486,plain,
% 41.75/41.92      ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11192_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24950,plain,
% 41.75/41.92      ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5486]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24951,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 41.75/41.92      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24950]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5480,plain,
% 41.75/41.92      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11193_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24938,plain,
% 41.75/41.92      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5480]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24939,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.92      | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24938]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5474,plain,
% 41.75/41.92      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11194_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24926,plain,
% 41.75/41.92      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5474]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24927,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 41.75/41.92      | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24926]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5450,plain,
% 41.75/41.92      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 41.75/41.92      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 41.75/41.92      | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11211_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24878,plain,
% 41.75/41.92      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 41.75/41.92      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 41.75/41.92      | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5450]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24879,plain,
% 41.75/41.92      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.92      | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 41.75/41.92      | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24878]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5447,plain,
% 41.75/41.92      ( ~ c_Relation_Otrans(X0,X1)
% 41.75/41.92      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 41.75/41.92      | ~ c_Relation_Otrans(X2,X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11212_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24872,plain,
% 41.75/41.92      ( ~ c_Relation_Otrans(X0,X1)
% 41.75/41.92      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 41.75/41.92      | ~ c_Relation_Otrans(X2,X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5447]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24873,plain,
% 41.75/41.92      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.92      | ~ c_Relation_Otrans(X1,X3)
% 41.75/41.92      | ~ c_Relation_Otrans(X0,X2) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24872]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5441,plain,
% 41.75/41.92      ( c_less(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 41.75/41.92      | ~ c_less(c_1,X2,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.92      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11213_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24860,plain,
% 41.75/41.92      ( c_less(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 41.75/41.92      | ~ c_less(c_1,X2,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.92      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5441]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24861,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.92      | ~ class_Power_Orecpower(X0)
% 41.75/41.92      | ~ c_less(c_1,X1,X0)
% 41.75/41.92      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 41.75/41.92      | c_less(X2,X3,tc_nat) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24860]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5436,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 41.75/41.92      | ~ c_less(c_1,X2,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.92      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11214_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24850,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 41.75/41.92      | ~ c_less(c_1,X2,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.92      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5436]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24851,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.92      | ~ class_Power_Orecpower(X0)
% 41.75/41.92      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 41.75/41.92      | c_lessequals(X2,X3,tc_nat)
% 41.75/41.92      | ~ c_less(c_1,X1,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24850]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5433,plain,
% 41.75/41.92      ( c_plus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_plus(X2,X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Osemiring(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11215_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24844,plain,
% 41.75/41.92      ( c_plus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_plus(X2,X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Osemiring(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5433]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24845,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Osemiring(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_plus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_plus(X2,X3,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24844]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5430,plain,
% 41.75/41.92      ( c_minus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_minus(X2,X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oring(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11216_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24838,plain,
% 41.75/41.92      ( c_minus(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_minus(X2,X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oring(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5430]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24839,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oring(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_minus(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_minus(X2,X3,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24838]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5427,plain,
% 41.75/41.92      ( c_plus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_plus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Osemiring(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11217_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24832,plain,
% 41.75/41.92      ( c_plus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_plus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Osemiring(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5427]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24833,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Osemiring(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_plus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_plus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24832]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5424,plain,
% 41.75/41.92      ( c_minus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_minus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oring(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11218_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24826,plain,
% 41.75/41.92      ( c_minus(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2) = c_times(c_minus(X0,X3,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oring(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5424]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24827,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oring(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_minus(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) = c_times(c_minus(X1,X3,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24826]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5420,plain,
% 41.75/41.92      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11220_3) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24818,plain,
% 41.75/41.92      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5420]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24819,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.92      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24818]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5413,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11221_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24804,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5413]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24805,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(X2,c_0,X0)
% 41.75/41.92      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24804]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5406,plain,
% 41.75/41.92      ( c_lessequals(X0,c_0,X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11222_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24790,plain,
% 41.75/41.92      ( c_lessequals(X0,c_0,X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5406]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24791,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(X1,c_0,X0)
% 41.75/41.92      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24790]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5399,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11223_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24776,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5399]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24777,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_0,X2,X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24776]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5392,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11224_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24762,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5392]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24763,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,X1,X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24762]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5387,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
% 41.75/41.92      | ~ c_less(c_0,X0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11225_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24752,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
% 41.75/41.92      | ~ c_less(c_0,X0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5387]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24753,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.92      | c_less(c_0,c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0),X0),X0)
% 41.75/41.92      | ~ c_less(c_0,X1,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24752]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5385,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_less(X1,X2,X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X2,X1,X0) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11226_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24748,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_less(X1,X2,X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X2,X1,X0) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5385]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24749,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X3,X1,X0)
% 41.75/41.92      | ~ c_less(X1,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24748]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5382,plain,
% 41.75/41.92      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(X0,X3,X2)
% 41.75/41.92      | ~ c_less(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11226_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24742,plain,
% 41.75/41.92      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_less(X0,X3,X2)
% 41.75/41.92      | ~ c_less(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5382]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24743,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X1,X3,X0)
% 41.75/41.92      | ~ c_less(X3,X1,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24742]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5380,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_less(X1,X2,X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 41.75/41.92      | ~ c_less(X2,X1,X0) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11227_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24738,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_less(X1,X2,X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 41.75/41.92      | ~ c_less(X2,X1,X0) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5380]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24739,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_less(X3,X2,X0)
% 41.75/41.92      | ~ c_less(X2,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24738]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5377,plain,
% 41.75/41.92      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11227_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24732,plain,
% 41.75/41.92      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5377]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24733,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_less(X2,X3,X0)
% 41.75/41.92      | ~ c_less(X3,X2,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24732]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5375,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11228_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24728,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5375]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24729,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X3,X1,X0)
% 41.75/41.92      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24728]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5372,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.92      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11228_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24722,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.92      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5372]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24723,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X1,X3,X0)
% 41.75/41.92      | ~ c_lessequals(X3,X1,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24722]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5370,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11229_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24718,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5370]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24719,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X0)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24718]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5367,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X1)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11229_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24712,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X1)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5367]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24713,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X0)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24712]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5362,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11230_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24702,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5362]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24703,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X2,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24702]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5357,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11231_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24692,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5357]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24693,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ c_less(X3,X2,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24692]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5352,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11232_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24682,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5352]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24683,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_less(X2,X3,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24682]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5347,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11233_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24672,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ c_less(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5347]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24673,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_less(X3,X2,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24672]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5342,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11234_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24662,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5342]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24663,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X1,X3,X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24662]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5337,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11235_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24652,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5337]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24653,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | ~ c_lessequals(X3,X1,X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24652]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5332,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11236_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24642,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5332]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24643,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X3,X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24642]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5327,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11237_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24632,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5327]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24633,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X3,X2,X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24632]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5314,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11244_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24606,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5314]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24607,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24606]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5309,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11245_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24596,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5309]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24597,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24596]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5304,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11246_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24586,plain,
% 41.75/41.92      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5304]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24587,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24586]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5299,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11247_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24576,plain,
% 41.75/41.92      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5299]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24577,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24576]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5296,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11248_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24570,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5296]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24571,plain,
% 41.75/41.92      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.92      | c_lessequals(X0,X2,tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24570]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5293,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11249_2) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24564,plain,
% 41.75/41.92      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.92      | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5293]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24565,plain,
% 41.75/41.92      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.92      | c_lessequals(X1,X2,tc_nat)
% 41.75/41.92      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24564]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5285,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11254_3) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24548,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5285]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24549,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24548]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5279,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11255_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24536,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5279]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24537,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24536]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5273,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11256_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24524,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5273]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24525,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24524]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5267,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11257_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24512,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5267]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24513,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24512]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5261,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11258_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24500,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5261]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24501,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24500]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5242,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11270_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24462,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5242]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24463,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_less(c_0,X2,X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24462]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5236,plain,
% 41.75/41.92      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11271_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24450,plain,
% 41.75/41.92      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5236]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24451,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_less(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24450]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5230,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,X2,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11272_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24438,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(c_0,X2,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5230]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24439,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_lessequals(c_0,X2,X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24438]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5224,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11273_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24426,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5224]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24427,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_lessequals(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24426]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5218,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11274_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24414,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(X2,c_0,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5218]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24415,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | c_less(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24414]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5212,plain,
% 41.75/41.92      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11275_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24402,plain,
% 41.75/41.92      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(c_0,X2,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5212]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24403,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_0,X2,X0)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24402]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5206,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11276_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24390,plain,
% 41.75/41.92      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5206]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24391,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | c_lessequals(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24390]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5200,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_lessequals(c_0,X2,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11277_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24378,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_lessequals(c_0,X2,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5200]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24379,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_lessequals(c_0,X2,X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24378]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5181,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11282_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24340,plain,
% 41.75/41.92      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.92      | ~ c_less(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5181]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24341,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_less(X2,c_0,X0)
% 41.75/41.92      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24340]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5174,plain,
% 41.75/41.92      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11283_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24326,plain,
% 41.75/41.92      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 41.75/41.92      | ~ c_lessequals(X0,c_0,X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X3)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 41.75/41.92      | ~ class_Numeral_Onumber(X3) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5174]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24327,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.92      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24326]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5167,plain,
% 41.75/41.92      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11284_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24312,plain,
% 41.75/41.92      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_less(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5167]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24313,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | ~ c_less(c_0,X2,X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24312]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5160,plain,
% 41.75/41.92      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11285_6) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24298,plain,
% 41.75/41.92      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.92      | ~ c_lessequals(c_0,X3,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.92      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5160]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24299,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.92      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 41.75/41.92      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 41.75/41.92      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24298]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5158,plain,
% 41.75/41.92      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.92      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.92      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11292_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24294,plain,
% 41.75/41.92      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.92      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.92      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5158]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24295,plain,
% 41.75/41.92      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.92      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.92      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24294]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5139,plain,
% 41.75/41.92      ( c_less(c_0,X0,X1)
% 41.75/41.92      | c_less(X0,c_0,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11301_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24256,plain,
% 41.75/41.92      ( c_less(c_0,X0,X1)
% 41.75/41.92      | c_less(X0,c_0,X1)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5139]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24257,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_less(c_0,X2,X0)
% 41.75/41.92      | c_less(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24256]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5133,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_lessequals(X0,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11302_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24244,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_lessequals(X0,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5133]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24245,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | c_lessequals(c_0,X2,X0)
% 41.75/41.92      | c_lessequals(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24244]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5127,plain,
% 41.75/41.92      ( c_less(c_0,X0,X1)
% 41.75/41.92      | c_less(X0,c_0,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11303_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24232,plain,
% 41.75/41.92      ( c_less(c_0,X0,X1)
% 41.75/41.92      | c_less(X0,c_0,X1)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5127]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24233,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,X1,X0)
% 41.75/41.92      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 41.75/41.92      | c_less(X1,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24232]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5121,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_lessequals(X0,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11304_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24220,plain,
% 41.75/41.92      ( c_lessequals(c_0,X0,X1)
% 41.75/41.92      | c_lessequals(X0,c_0,X1)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5121]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24221,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,X1,X0)
% 41.75/41.92      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 41.75/41.92      | c_lessequals(X1,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24220]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5119,plain,
% 41.75/41.92      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 41.75/41.92      | ~ c_lessequals(X4,X3,X0) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11306_1) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24216,plain,
% 41.75/41.92      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.92      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.92      | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 41.75/41.92      | ~ c_lessequals(X4,X3,X0) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5119]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24217,plain,
% 41.75/41.92      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.92      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.92      | ~ c_lessequals(X2,X4,X0)
% 41.75/41.92      | ~ c_lessequals(X3,X1,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24216]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5107,plain,
% 41.75/41.92      ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 41.75/41.92      | ~ c_less(c_1,X0,X2)
% 41.75/41.92      | ~ c_less(X1,X3,tc_nat)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 41.75/41.92      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11309_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24192,plain,
% 41.75/41.92      ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 41.75/41.92      | ~ c_less(c_1,X0,X2)
% 41.75/41.92      | ~ c_less(X1,X3,tc_nat)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 41.75/41.92      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5107]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24193,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.92      | ~ class_Power_Orecpower(X0)
% 41.75/41.92      | ~ c_less(c_1,X1,X0)
% 41.75/41.92      | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 41.75/41.92      | ~ c_less(X2,X3,tc_nat) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24192]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5102,plain,
% 41.75/41.92      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 41.75/41.92      | ~ c_lessequals(X1,X3,tc_nat)
% 41.75/41.92      | ~ c_less(c_1,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 41.75/41.92      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11310_4) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24182,plain,
% 41.75/41.92      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 41.75/41.92      | ~ c_lessequals(X1,X3,tc_nat)
% 41.75/41.92      | ~ c_less(c_1,X0,X2)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 41.75/41.92      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5102]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24183,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.92      | ~ class_Power_Orecpower(X0)
% 41.75/41.92      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 41.75/41.92      | ~ c_lessequals(X2,X3,tc_nat)
% 41.75/41.92      | ~ c_less(c_1,X1,X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24182]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5096,plain,
% 41.75/41.92      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11312_3) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24170,plain,
% 41.75/41.92      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5096]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24171,plain,
% 41.75/41.92      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.92      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.92      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 41.75/41.92      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24170]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5088,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_less(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11314_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24154,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_less(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5088]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24155,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_less(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24154]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5082,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11315_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24142,plain,
% 41.75/41.92      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_less(c_0,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5082]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24143,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.92      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | ~ c_less(c_0,X2,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24142]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5076,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11316_5) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24130,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.92      | ~ c_lessequals(X2,c_0,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      inference(copy,[status(esa)],[c_5076]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_24131,plain,
% 41.75/41.92      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.92      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.92      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.92      | ~ c_lessequals(X2,c_0,X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.92      inference(rewriting,[status(thm)],[c_24130]) ).
% 41.75/41.92  
% 41.75/41.92  cnf(c_5070,plain,
% 41.75/41.92      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.92      | ~ c_lessequals(c_0,X2,X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.92      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.92      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11317_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24118,plain,
% 41.75/41.93      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_lessequals(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5070]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24119,plain,
% 41.75/41.93      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 41.75/41.93      | ~ c_lessequals(c_0,X2,X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24118]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5064,plain,
% 41.75/41.93      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11318_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24106,plain,
% 41.75/41.93      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5064]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24107,plain,
% 41.75/41.93      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.93      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24106]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5058,plain,
% 41.75/41.93      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11319_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24094,plain,
% 41.75/41.93      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5058]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24095,plain,
% 41.75/41.93      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24094]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5052,plain,
% 41.75/41.93      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11320_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24082,plain,
% 41.75/41.93      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5052]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24083,plain,
% 41.75/41.93      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.93      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 41.75/41.93      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24082]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5046,plain,
% 41.75/41.93      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11321_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24070,plain,
% 41.75/41.93      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5046]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24071,plain,
% 41.75/41.93      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 41.75/41.93      | ~ c_lessequals(X2,c_0,X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24070]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5040,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_less(c_0,X1,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11322_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24058,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_less(c_0,X1,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5040]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24059,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | c_less(c_0,X2,X0)
% 41.75/41.93      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24058]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5035,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11323_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24048,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5035]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24049,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24048]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5030,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11324_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24038,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5030]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24039,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24038]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5025,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11325_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24028,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5025]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24029,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24028]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5020,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11326_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24018,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5020]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24019,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24018]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5015,plain,
% 41.75/41.93      ( c_lessequals(c_0,X0,X1)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11331_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24008,plain,
% 41.75/41.93      ( c_lessequals(c_0,X0,X1)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5015]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_24009,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | c_lessequals(c_0,X2,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_24008]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5010,plain,
% 41.75/41.93      ( c_lessequals(X0,c_0,X1)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11332_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23998,plain,
% 41.75/41.93      ( c_lessequals(X0,c_0,X1)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5010]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23999,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 41.75/41.93      | c_lessequals(X2,c_0,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23998]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5007,plain,
% 41.75/41.93      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | ~ c_less(X0,X2,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11333_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23992,plain,
% 41.75/41.93      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | ~ c_less(X0,X2,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5007]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23993,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23992]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_5004,plain,
% 41.75/41.93      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11334_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23986,plain,
% 41.75/41.93      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_5004]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23987,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23986]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4992,plain,
% 41.75/41.93      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11345_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23962,plain,
% 41.75/41.93      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4992]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23963,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23962]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4985,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11348_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23948,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4985]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23949,plain,
% 41.75/41.93      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23948]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4980,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11349_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23938,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4980]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23939,plain,
% 41.75/41.93      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23938]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4975,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11350_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23928,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4975]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23929,plain,
% 41.75/41.93      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23928]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4970,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11351_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23918,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4970]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23919,plain,
% 41.75/41.93      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23918]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4965,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11352_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23908,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4965]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23909,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 41.75/41.93      | c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23908]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4960,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11353_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23898,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4960]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23899,plain,
% 41.75/41.93      ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23898]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4955,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11354_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23888,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4955]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23889,plain,
% 41.75/41.93      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23888]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4950,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11355_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23878,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4950]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23879,plain,
% 41.75/41.93      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23878]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4941,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11358_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23860,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4941]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23861,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23860]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4937,plain,
% 41.75/41.93      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11359_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23852,plain,
% 41.75/41.93      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4937]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23853,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.93      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23852]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4928,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_less(c_0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11362_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23834,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_less(c_0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4928]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23835,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_less(c_0,c_0,X0)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23834]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4925,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11363_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23828,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4925]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23829,plain,
% 41.75/41.93      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23828]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4923,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11363_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23824,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4923]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23825,plain,
% 41.75/41.93      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23824]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4920,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11364_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23818,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4920]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23819,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.93      | c_less(X0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23818]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4918,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11364_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23814,plain,
% 41.75/41.93      ( c_less(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4918]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23815,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23814]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4915,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11365_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23808,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4915]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23809,plain,
% 41.75/41.93      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23808]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4913,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11365_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23804,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4913]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23805,plain,
% 41.75/41.93      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23804]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4910,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11366_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23798,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4910]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23799,plain,
% 41.75/41.93      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23798]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4908,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11366_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23794,plain,
% 41.75/41.93      ( c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4908]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23795,plain,
% 41.75/41.93      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23794]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4897,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11370_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23772,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4897]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23773,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 41.75/41.93      | X2 = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23772]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4889,plain,
% 41.75/41.93      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11374_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23756,plain,
% 41.75/41.93      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4889]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23757,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23756]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4882,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | c_lessequals(X0,c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11376_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23742,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | c_lessequals(X0,c_0,X1)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4882]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23743,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 41.75/41.93      | c_lessequals(X1,c_0,X0)
% 41.75/41.93      | X1 = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23742]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4874,plain,
% 41.75/41.93      ( c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11379_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23726,plain,
% 41.75/41.93      ( c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4874]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23727,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 41.75/41.93      | c_less(X1,c_0,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23726]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4851,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,X2,X3)
% 41.75/41.93      | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X2,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11388_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23680,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,X2,X3)
% 41.75/41.93      | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X2,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4851]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23681,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | c_less(X1,X3,X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | ~ c_in(X3,X2,X0)
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23680]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4845,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,X2,X3)
% 41.75/41.93      | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X2,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11389_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23668,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,X2,X3)
% 41.75/41.93      | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X2,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4845]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23669,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | c_lessequals(X1,X3,X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | ~ c_in(X3,X2,X0)
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23668]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4839,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,X2,X3)
% 41.75/41.93      | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11390_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23656,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,X2,X3)
% 41.75/41.93      | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4839]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23657,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | c_less(X3,X2,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | ~ c_in(X3,X1,X0)
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23656]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4833,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,X2,X3)
% 41.75/41.93      | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11391_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23644,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,X2,X3)
% 41.75/41.93      | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.93      | ~ c_in(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4833]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23645,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | c_lessequals(X3,X2,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | ~ c_in(X3,X1,X0)
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23644]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4830,plain,
% 41.75/41.93      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11392_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23638,plain,
% 41.75/41.93      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4830]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23639,plain,
% 41.75/41.93      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.93      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23638]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4826,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11393_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23630,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4826]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23631,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.93      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23630]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4821,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11395_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23620,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4821]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23621,plain,
% 41.75/41.93      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23620]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4816,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11396_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23610,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4816]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23611,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.93      | ~ c_less(X0,X2,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23610]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4813,plain,
% 41.75/41.93      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11396_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23604,plain,
% 41.75/41.93      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4813]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23605,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23604]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4810,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11397_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23598,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(X1,c_0,X0)
% 41.75/41.93      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4810]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23599,plain,
% 41.75/41.93      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(X2,c_0,X1)
% 41.75/41.93      | ~ c_less(X0,c_0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23598]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4805,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11398_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23588,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.93      | ~ c_less(c_0,X1,X0)
% 41.75/41.93      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4805]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23589,plain,
% 41.75/41.93      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.93      | ~ c_less(c_0,X2,X1)
% 41.75/41.93      | ~ c_less(c_0,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23588]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4795,plain,
% 41.75/41.93      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11401_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23568,plain,
% 41.75/41.93      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4795]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23569,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.93      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.93      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23568]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4778,plain,
% 41.75/41.93      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.93      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11407_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23534,plain,
% 41.75/41.93      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.93      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4778]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23535,plain,
% 41.75/41.93      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X1,X3,tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23534]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4775,plain,
% 41.75/41.93      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.93      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11408_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23528,plain,
% 41.75/41.93      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.93      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 41.75/41.93      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4775]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23529,plain,
% 41.75/41.93      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 41.75/41.93      | ~ c_lessequals(X0,X2,tc_set(X3))
% 41.75/41.93      | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23528]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4766,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11411_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23510,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4766]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23511,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 41.75/41.93      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23510]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4764,plain,
% 41.75/41.93      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11414_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23506,plain,
% 41.75/41.93      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4764]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23507,plain,
% 41.75/41.93      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23506]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4757,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11415_5) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23492,plain,
% 41.75/41.93      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.93      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4757]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23493,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 41.75/41.93      | ~ c_lessequals(X2,c_0,X0)
% 41.75/41.93      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23492]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4740,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11420_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23458,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4740]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23459,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23458]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4735,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11421_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23448,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4735]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23449,plain,
% 41.75/41.93      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23448]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4730,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11422_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23438,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4730]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23439,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23438]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4725,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11423_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23428,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4725]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23429,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23428]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4720,plain,
% 41.75/41.93      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11424_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23418,plain,
% 41.75/41.93      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ c_less(X0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4720]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23419,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,X1)
% 41.75/41.93      | c_less(c_divide(X2,X0,X1),c_1,X1)
% 41.75/41.93      | ~ c_less(X2,X0,X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23418]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4715,plain,
% 41.75/41.93      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11425_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23408,plain,
% 41.75/41.93      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4715]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23409,plain,
% 41.75/41.93      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ c_less(X1,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23408]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4710,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11426_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23398,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4710]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23399,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.93      | ~ c_less(c_0,X1,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23398]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4705,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11427_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23388,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4705]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23389,plain,
% 41.75/41.93      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.93      | ~ c_less(X1,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23388]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4692,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11432_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23362,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4692]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23363,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23362]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4687,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11433_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23352,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 41.75/41.93      | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4687]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23353,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 41.75/41.93      | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X2 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23352]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4682,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11434_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23342,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4682]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23343,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23342]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4677,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11435_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23332,plain,
% 41.75/41.93      ( X0 = c_emptyset
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 41.75/41.93      | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 41.75/41.93      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4677]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23333,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 41.75/41.93      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 41.75/41.93      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.93      | X1 = c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23332]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4673,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_less(X1,X0,X3)
% 41.75/41.93      | ~ c_less(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11436_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23324,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_less(X1,X0,X3)
% 41.75/41.93      | ~ c_less(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4673]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23325,plain,
% 41.75/41.93      ( ~ class_Orderings_Oord(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X2,X3,X0)
% 41.75/41.93      | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23324]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4669,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.93      | ~ c_less(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11437_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23316,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.93      | ~ c_less(X1,X0,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4669]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23317,plain,
% 41.75/41.93      ( ~ class_Orderings_Oord(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X3,X1,X0)
% 41.75/41.93      | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23316]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4665,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X3)
% 41.75/41.93      | ~ c_less(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11438_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23308,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X3)
% 41.75/41.93      | ~ c_less(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4665]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23309,plain,
% 41.75/41.93      ( ~ class_Orderings_Oord(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_less(X2,X3,X0)
% 41.75/41.93      | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23308]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4661,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X3)
% 41.75/41.93      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11439_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23300,plain,
% 41.75/41.93      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 41.75/41.93      | ~ c_lessequals(X1,X0,X3)
% 41.75/41.93      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.93      | ~ class_Orderings_Oord(X3) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4661]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23301,plain,
% 41.75/41.93      ( ~ class_Orderings_Oord(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | ~ c_lessequals(X2,X3,X0)
% 41.75/41.93      | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23300]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4659,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_lessequals(X3,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11440_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23296,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_lessequals(X3,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4659]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23297,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.93      | ~ c_lessequals(X2,X3,X0)
% 41.75/41.93      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23296]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4655,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11441_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23288,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.93      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4655]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23289,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X1,X3,X0)
% 41.75/41.93      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23288]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4651,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 41.75/41.93      | ~ c_less(X1,X3,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11442_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23280,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 41.75/41.93      | ~ c_less(X1,X3,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4651]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23281,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.93      | ~ c_less(X1,X3,X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23280]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4647,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_less(X3,X2,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11443_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23272,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ c_less(X1,X2,X0)
% 41.75/41.93      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 41.75/41.93      | ~ c_less(X3,X2,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4647]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23273,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.93      | ~ c_less(X2,X3,X0)
% 41.75/41.93      | ~ c_less(X1,X3,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23272]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4630,plain,
% 41.75/41.93      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11449_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23238,plain,
% 41.75/41.93      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4630]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23239,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | ~ c_less(c_0,X2,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23238]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4625,plain,
% 41.75/41.93      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11450_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23228,plain,
% 41.75/41.93      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_0,X0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4625]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23229,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.93      | ~ c_lessequals(c_0,X2,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23228]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4620,plain,
% 41.75/41.93      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11451_4) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23218,plain,
% 41.75/41.93      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(X0,c_0,X2)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.93      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4620]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23219,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.93      | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 41.75/41.93      | ~ c_less(X2,c_0,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23218]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4616,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11452_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23210,plain,
% 41.75/41.93      ( X0 = c_0
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4616]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23211,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Power_Orecpower(X0)
% 41.75/41.93      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 41.75/41.93      | X1 = c_0 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23210]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4598,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.93      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11458_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23174,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.93      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4598]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23175,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23174]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4594,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.93      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11459_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23166,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.93      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4594]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23167,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.93      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_ONats,X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23166]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4590,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11460_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23158,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4590]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23159,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23158]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4586,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11461_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23150,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4586]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23151,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23150]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4582,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11462_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23142,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.93      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4582]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23143,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.93      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X2,c_IntDef_OInts,X0)
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23142]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4576,plain,
% 41.75/41.93      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11463_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23130,plain,
% 41.75/41.93      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.93      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4576]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23131,plain,
% 41.75/41.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.93      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.93      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23130]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4569,plain,
% 41.75/41.93      ( ~ c_List_Odistinct(X0,X1)
% 41.75/41.93      | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 41.75/41.93      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 41.75/41.93      | ~ c_List_Odistinct(X2,X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11466_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23116,plain,
% 41.75/41.93      ( ~ c_List_Odistinct(X0,X1)
% 41.75/41.93      | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 41.75/41.93      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 41.75/41.93      | ~ c_List_Odistinct(X2,X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4569]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23117,plain,
% 41.75/41.93      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_List_Odistinct(X1,X2)
% 41.75/41.93      | ~ c_List_Odistinct(X0,X2)
% 41.75/41.93      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23116]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4568,plain,
% 41.75/41.93      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 41.75/41.93      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 41.75/41.93      | ~ c_List_Odistinct(X0,X2)
% 41.75/41.93      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11466_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23114,plain,
% 41.75/41.93      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 41.75/41.93      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 41.75/41.93      | ~ c_List_Odistinct(X0,X2)
% 41.75/41.93      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4568]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23115,plain,
% 41.75/41.93      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 41.75/41.93      | ~ c_List_Odistinct(X0,X2)
% 41.75/41.93      | ~ c_List_Odistinct(X1,X2)
% 41.75/41.93      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23114]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4566,plain,
% 41.75/41.93      ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11467_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23110,plain,
% 41.75/41.93      ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4566]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23111,plain,
% 41.75/41.93      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23110]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4542,plain,
% 41.75/41.93      ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11478_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23062,plain,
% 41.75/41.93      ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4542]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23063,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.93      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23062]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4538,plain,
% 41.75/41.93      ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11479_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23054,plain,
% 41.75/41.93      ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4538]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23055,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.93      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23054]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4534,plain,
% 41.75/41.93      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11480_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23046,plain,
% 41.75/41.93      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.93      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4534]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23047,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.93      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23046]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4530,plain,
% 41.75/41.93      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11481_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23038,plain,
% 41.75/41.93      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.93      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4530]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23039,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.93      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23038]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4519,plain,
% 41.75/41.93      ( X0 = X1
% 41.75/41.93      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 41.75/41.93      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11489_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23016,plain,
% 41.75/41.93      ( X0 = X1
% 41.75/41.93      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 41.75/41.93      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4519]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_23017,plain,
% 41.75/41.93      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.93      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.93      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 41.75/41.93      | X0 = X1 ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_23016]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4505,plain,
% 41.75/41.93      ( ~ c_lessequals(c_1,X0,tc_nat)
% 41.75/41.93      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11496_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22988,plain,
% 41.75/41.93      ( ~ c_lessequals(c_1,X0,tc_nat)
% 41.75/41.93      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4505]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22989,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22988]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4504,plain,
% 41.75/41.93      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X0,tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11496_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22986,plain,
% 41.75/41.93      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X0,tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4504]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22987,plain,
% 41.75/41.93      ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X0,tc_nat)
% 41.75/41.93      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22986]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4495,plain,
% 41.75/41.93      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11505_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22968,plain,
% 41.75/41.93      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4495]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22969,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22968]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4492,plain,
% 41.75/41.93      ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_1,X1,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11506_2) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22962,plain,
% 41.75/41.93      ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_1,X1,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4492]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22963,plain,
% 41.75/41.93      ( ~ c_less(c_1,X0,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22962]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4488,plain,
% 41.75/41.93      ( c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11511_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22954,plain,
% 41.75/41.93      ( c_less(X0,c_0,X1)
% 41.75/41.93      | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.93      | ~ class_Orderings_Olinorder(X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4488]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22955,plain,
% 41.75/41.93      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 41.75/41.93      | c_less(X1,c_0,X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22954]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4481,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11514_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22940,plain,
% 41.75/41.93      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.93      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4481]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22941,plain,
% 41.75/41.93      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.93      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22940]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4423,plain,
% 41.75/41.93      ( ~ c_in(X0,X1,X2)
% 41.75/41.93      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 41.75/41.93      | c_in(X0,X3,X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11534_1) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22824,plain,
% 41.75/41.93      ( ~ c_in(X0,X1,X2)
% 41.75/41.93      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 41.75/41.93      | c_in(X0,X3,X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4423]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22825,plain,
% 41.75/41.93      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 41.75/41.93      | ~ c_in(X0,X1,X3)
% 41.75/41.93      | c_in(X0,X2,X3) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22824]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4418,plain,
% 41.75/41.93      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.93      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11535_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22814,plain,
% 41.75/41.93      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.93      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4418]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22815,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.93      | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22814]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4414,plain,
% 41.75/41.93      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.93      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11536_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22806,plain,
% 41.75/41.93      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 41.75/41.93      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.93      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4414]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22807,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 41.75/41.93      | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22806]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4410,plain,
% 41.75/41.93      ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 41.75/41.93      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.93      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11537_3) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22798,plain,
% 41.75/41.93      ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.93      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 41.75/41.93      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.93      inference(copy,[status(esa)],[c_4410]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_22799,plain,
% 41.75/41.93      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.93      | ~ class_Numeral_Onumber(X0)
% 41.75/41.93      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.93      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 41.75/41.93      inference(rewriting,[status(thm)],[c_22798]) ).
% 41.75/41.93  
% 41.75/41.93  cnf(c_4406,plain,
% 41.75/41.93      ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.93      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11538_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22790,plain,
% 41.75/41.94      ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 41.75/41.94      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4406]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22791,plain,
% 41.75/41.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber(X0)
% 41.75/41.94      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.94      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22790]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4402,plain,
% 41.75/41.94      ( c_less(c_0,X0,X1)
% 41.75/41.94      | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11539_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22782,plain,
% 41.75/41.94      ( c_less(c_0,X0,X1)
% 41.75/41.94      | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4402]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22783,plain,
% 41.75/41.94      ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22782]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4398,plain,
% 41.75/41.94      ( c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11540_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22774,plain,
% 41.75/41.94      ( c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4398]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22775,plain,
% 41.75/41.94      ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22774]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4394,plain,
% 41.75/41.94      ( c_less(X0,c_0,X1)
% 41.75/41.94      | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11541_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22766,plain,
% 41.75/41.94      ( c_less(X0,c_0,X1)
% 41.75/41.94      | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4394]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22767,plain,
% 41.75/41.94      ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22766]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4390,plain,
% 41.75/41.94      ( c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11542_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22758,plain,
% 41.75/41.94      ( c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4390]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22759,plain,
% 41.75/41.94      ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22758]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4385,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11544_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22748,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4385]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22749,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22748]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4384,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11544_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22746,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4384]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22747,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22746]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4380,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11545_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22738,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4380]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22739,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22738]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4366,plain,
% 41.75/41.94      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11551_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22710,plain,
% 41.75/41.94      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4366]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22711,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22710]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4347,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11558_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22672,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4347]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22673,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22672]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4326,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11569_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22630,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4326]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22631,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22630]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4321,plain,
% 41.75/41.94      ( c_lessequals(c_1,X0,tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11571_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22620,plain,
% 41.75/41.94      ( c_lessequals(c_1,X0,tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4321]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22621,plain,
% 41.75/41.94      ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | c_lessequals(c_1,X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22620]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4319,plain,
% 41.75/41.94      ( c_lessequals(c_1,X0,tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11572_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22616,plain,
% 41.75/41.94      ( c_lessequals(c_1,X0,tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4319]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22617,plain,
% 41.75/41.94      ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | c_lessequals(c_1,X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22616]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4307,plain,
% 41.75/41.94      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11575_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22592,plain,
% 41.75/41.94      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4307]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22593,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22592]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4301,plain,
% 41.75/41.94      ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 41.75/41.94      | c_in(X0,X3,X2)
% 41.75/41.94      | c_inter(X1,X3,X2) != c_emptyset ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11577_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22580,plain,
% 41.75/41.94      ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 41.75/41.94      | c_in(X0,X3,X2)
% 41.75/41.94      | c_inter(X1,X3,X2) != c_emptyset ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4301]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22581,plain,
% 41.75/41.94      ( c_in(X0,X1,X2)
% 41.75/41.94      | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 41.75/41.94      | c_inter(X3,X1,X2) != c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22580]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4295,plain,
% 41.75/41.94      ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 41.75/41.94      | c_in(X1,X0,X3)
% 41.75/41.94      | c_inter(X0,X2,X3) != c_emptyset ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11579_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22568,plain,
% 41.75/41.94      ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 41.75/41.94      | c_in(X1,X0,X3)
% 41.75/41.94      | c_inter(X0,X2,X3) != c_emptyset ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4295]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22569,plain,
% 41.75/41.94      ( c_in(X0,X1,X2)
% 41.75/41.94      | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 41.75/41.94      | c_inter(X1,X3,X2) != c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22568]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4286,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11582_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22550,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4286]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22551,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22550]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4264,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11592_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22506,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4264]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22507,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22506]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4260,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11593_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22498,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4260]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22499,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22498]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4252,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11596_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22482,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4252]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22483,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22482]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4243,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.94      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11600_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22464,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.94      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4243]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22465,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22464]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4223,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11608_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22424,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4223]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22425,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 41.75/41.94      | X2 = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22424]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4220,plain,
% 41.75/41.94      ( c_in(X0,X1,X2)
% 41.75/41.94      | ~ c_in(X0,c_Inter(X3,X2),X2)
% 41.75/41.94      | ~ c_in(X1,X3,tc_set(X2)) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11609_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22418,plain,
% 41.75/41.94      ( c_in(X0,X1,X2)
% 41.75/41.94      | ~ c_in(X0,c_Inter(X3,X2),X2)
% 41.75/41.94      | ~ c_in(X1,X3,tc_set(X2)) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4220]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22419,plain,
% 41.75/41.94      ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 41.75/41.94      | ~ c_in(X3,X1,tc_set(X2))
% 41.75/41.94      | c_in(X0,X3,X2) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22418]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4206,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11614_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22390,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4206]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22391,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22390]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4182,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11620_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22342,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4182]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22343,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22342]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4180,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11620_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22338,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4180]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22339,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22338]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4175,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 41.75/41.94      | ~ c_less(c_1,X2,X3)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.94      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11621_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22328,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 41.75/41.94      | ~ c_less(c_1,X2,X3)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 41.75/41.94      | ~ class_Power_Orecpower(X3) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4175]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22329,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_less(c_1,X1,X0)
% 41.75/41.94      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 41.75/41.94      | X2 = X3 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22328]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4168,plain,
% 41.75/41.94      ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 41.75/41.94      | X1 = c_emptyset
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11623_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22314,plain,
% 41.75/41.94      ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 41.75/41.94      | X1 = c_emptyset
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4168]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22315,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | ~ c_in(X2,X1,X0)
% 41.75/41.94      | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22314]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4163,plain,
% 41.75/41.94      ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 41.75/41.94      | X1 = c_emptyset
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11624_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22304,plain,
% 41.75/41.94      ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 41.75/41.94      | X1 = c_emptyset
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4163]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22305,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | ~ c_in(X2,X1,X0)
% 41.75/41.94      | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22304]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4158,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ c_in(X2,X0,X1)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11625_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22294,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ c_in(X2,X0,X1)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4158]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22295,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | ~ c_in(X2,X1,X0)
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22294]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4153,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X1,X0,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11626_4) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22284,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.94      | ~ c_in(X1,X0,X2)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4153]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22285,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 41.75/41.94      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | ~ c_in(X1,X2,X0)
% 41.75/41.94      | X2 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22284]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4149,plain,
% 41.75/41.94      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11628_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22276,plain,
% 41.75/41.94      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4149]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22277,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22276]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4147,plain,
% 41.75/41.94      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11629_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22272,plain,
% 41.75/41.94      ( c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4147]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22273,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22272]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4139,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11632_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22256,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4139]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22257,plain,
% 41.75/41.94      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22256]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4127,plain,
% 41.75/41.94      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1)
% 41.75/41.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11637_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22232,plain,
% 41.75/41.94      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1)
% 41.75/41.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4127]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22233,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.94      | c_less(c_plus(X1,X1,X0),c_0,X0)
% 41.75/41.94      | ~ c_less(X1,c_0,X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22232]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4115,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11640_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22208,plain,
% 41.75/41.94      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4115]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22209,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22208]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4111,plain,
% 41.75/41.94      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11644_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22200,plain,
% 41.75/41.94      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4111]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22201,plain,
% 41.75/41.94      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22200]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4107,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11645_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22192,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4107]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22193,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22192]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4103,plain,
% 41.75/41.94      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11646_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22184,plain,
% 41.75/41.94      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4103]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22185,plain,
% 41.75/41.94      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22184]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4099,plain,
% 41.75/41.94      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11647_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22176,plain,
% 41.75/41.94      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4099]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22177,plain,
% 41.75/41.94      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22176]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4079,plain,
% 41.75/41.94      ( c_Nat_Opower(c_HOL_Oabs(X0,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11655_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22136,plain,
% 41.75/41.94      ( c_Nat_Opower(c_HOL_Oabs(X0,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4079]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22137,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Nat_Opower(c_HOL_Oabs(X2,X0),c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22136]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4065,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11660_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22108,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4065]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22109,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22108]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4047,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11685_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22072,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4047]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22073,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22072]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4033,plain,
% 41.75/41.94      ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11691_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22044,plain,
% 41.75/41.94      ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4033]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22045,plain,
% 41.75/41.94      ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22044]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_4027,plain,
% 41.75/41.94      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11693_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22032,plain,
% 41.75/41.94      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_4027]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_22033,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 41.75/41.94      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_22032]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3987,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11713_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21952,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3987]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21953,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21952]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3973,plain,
% 41.75/41.94      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11718_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21924,plain,
% 41.75/41.94      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3973]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21925,plain,
% 41.75/41.94      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21924]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3972,plain,
% 41.75/41.94      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11718_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21922,plain,
% 41.75/41.94      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3972]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21923,plain,
% 41.75/41.94      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21922]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3930,plain,
% 41.75/41.94      ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11741_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21838,plain,
% 41.75/41.94      ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3930]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21839,plain,
% 41.75/41.94      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.94      | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 41.75/41.94      | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21838]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3910,plain,
% 41.75/41.94      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 41.75/41.94      | c_Parity_Oeven(X2,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11748_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21798,plain,
% 41.75/41.94      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 41.75/41.94      | c_Parity_Oeven(X2,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3910]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21799,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21798]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3894,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11755_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21766,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3894]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21767,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 41.75/41.94      | X1 = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21766]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3891,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11758_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21760,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3891]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21761,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21760]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3885,plain,
% 41.75/41.94      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.94      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.94      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11760_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21748,plain,
% 41.75/41.94      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.94      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.94      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3885]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21749,plain,
% 41.75/41.94      ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.94      | ~ c_List_Odistinct(X1,X2)
% 41.75/41.94      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21748]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3882,plain,
% 41.75/41.94      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11763_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21742,plain,
% 41.75/41.94      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3882]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21743,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21742]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3881,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11764_0) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21740,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3881]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21741,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21740]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3866,plain,
% 41.75/41.94      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11773_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21710,plain,
% 41.75/41.94      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3866]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21711,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21710]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3860,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11775_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21698,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3860]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21699,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21698]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3857,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11776_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21692,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3857]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21693,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21692]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3833,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11785_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21644,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3833]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21645,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21644]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3832,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11785_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21642,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3832]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21643,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21642]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3830,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11786_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21638,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3830]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21639,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21638]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3829,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11786_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21636,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3829]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21637,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21636]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3827,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11787_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21632,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3827]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21633,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21632]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3826,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11787_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21630,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3826]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21631,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21630]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3824,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11788_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21626,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3824]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21627,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21626]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3823,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11788_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21624,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3823]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21625,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21624]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3821,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11789_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21620,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3821]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21621,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21620]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3820,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11789_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21618,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3820]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21619,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21618]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3818,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11790_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21614,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3818]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21615,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21614]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3817,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11790_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21612,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3817]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21613,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21612]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3792,plain,
% 41.75/41.94      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11807_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21562,plain,
% 41.75/41.94      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3792]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21563,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21562]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3781,plain,
% 41.75/41.94      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11819_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21540,plain,
% 41.75/41.94      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3781]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21541,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X1),tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21540]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3777,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11820_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21532,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3777]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21533,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21532]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3763,plain,
% 41.75/41.94      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11826_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21504,plain,
% 41.75/41.94      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3763]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21505,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21504]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3733,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11838_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21444,plain,
% 41.75/41.94      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3733]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21445,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21444]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3730,plain,
% 41.75/41.94      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11839_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21438,plain,
% 41.75/41.94      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3730]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21439,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21438]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3727,plain,
% 41.75/41.94      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11840_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21432,plain,
% 41.75/41.94      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3727]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21433,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21432]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3705,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11850_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21388,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3705]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21389,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21388]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3695,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11855_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21368,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3695]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21369,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21368]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3681,plain,
% 41.75/41.94      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 41.75/41.94      | ~ c_in(X2,X0,X1)
% 41.75/41.94      | X2 = X3
% 41.75/41.94      | ~ c_in(X3,X0,X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11860_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21340,plain,
% 41.75/41.94      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 41.75/41.94      | ~ c_in(X2,X0,X1)
% 41.75/41.94      | X2 = X3
% 41.75/41.94      | ~ c_in(X3,X0,X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3681]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21341,plain,
% 41.75/41.94      ( ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ c_in(X3,X1,X2)
% 41.75/41.94      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 41.75/41.94      | X0 = X3 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21340]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3679,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | ~ c_in(X1,X2,X3)
% 41.75/41.94      | ~ c_in(X0,X2,X3)
% 41.75/41.94      | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11860_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21336,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | ~ c_in(X1,X2,X3)
% 41.75/41.94      | ~ c_in(X0,X2,X3)
% 41.75/41.94      | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3679]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21337,plain,
% 41.75/41.94      ( ~ c_in(X0,X1,X2)
% 41.75/41.94      | ~ c_in(X3,X1,X2)
% 41.75/41.94      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 41.75/41.94      | X3 = X0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21336]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3673,plain,
% 41.75/41.94      ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11864_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21324,plain,
% 41.75/41.94      ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3673]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21325,plain,
% 41.75/41.94      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21324]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3663,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11868_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21304,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3663]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21305,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21304]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3662,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11868_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21302,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3662]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21303,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21302]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3658,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11869_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21294,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3658]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21295,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21294]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3655,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.94      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11870_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21288,plain,
% 41.75/41.94      ( X0 = X1
% 41.75/41.94      | ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.94      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3655]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21289,plain,
% 41.75/41.94      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.94      | ~ c_lessequals(X1,X0,tc_set(X2))
% 41.75/41.94      | X0 = X1 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21288]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3651,plain,
% 41.75/41.94      ( c_less(c_0,X0,X1)
% 41.75/41.94      | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11871_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21280,plain,
% 41.75/41.94      ( c_less(c_0,X0,X1)
% 41.75/41.94      | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3651]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21281,plain,
% 41.75/41.94      ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21280]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3647,plain,
% 41.75/41.94      ( c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11872_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21272,plain,
% 41.75/41.94      ( c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3647]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21273,plain,
% 41.75/41.94      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21272]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3643,plain,
% 41.75/41.94      ( c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11873_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21264,plain,
% 41.75/41.94      ( c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3643]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21265,plain,
% 41.75/41.94      ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21264]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3639,plain,
% 41.75/41.94      ( c_less(X0,c_0,X1)
% 41.75/41.94      | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11874_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21256,plain,
% 41.75/41.94      ( c_less(X0,c_0,X1)
% 41.75/41.94      | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3639]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21257,plain,
% 41.75/41.94      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21256]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3631,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11878_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21240,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3631]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21241,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21240]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3602,plain,
% 41.75/41.94      ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11886_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21182,plain,
% 41.75/41.94      ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3602]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21183,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21182]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3597,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11888_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21172,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3597]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21173,plain,
% 41.75/41.94      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21172]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3566,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11900_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21110,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3566]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21111,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21110]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3562,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11901_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21102,plain,
% 41.75/41.94      ( X0 = c_emptyset
% 41.75/41.94      | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 41.75/41.94      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.94      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3562]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21103,plain,
% 41.75/41.94      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.94      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 41.75/41.94      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.94      | X1 = c_emptyset ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21102]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3514,plain,
% 41.75/41.94      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11918_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21006,plain,
% 41.75/41.94      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3514]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_21007,plain,
% 41.75/41.94      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_less(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_21006]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3510,plain,
% 41.75/41.94      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11919_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20998,plain,
% 41.75/41.94      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3510]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20999,plain,
% 41.75/41.94      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20998]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3506,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11920_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20990,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3506]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20991,plain,
% 41.75/41.94      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 41.75/41.94      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20990]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3502,plain,
% 41.75/41.94      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11921_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20982,plain,
% 41.75/41.94      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3502]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20983,plain,
% 41.75/41.94      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 41.75/41.94      | ~ c_less(X0,c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20982]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3473,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11938_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20924,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3473]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20925,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20924]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3471,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11938_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20920,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3471]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20921,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20920]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3404,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11975_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20786,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3404]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20787,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20786]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3400,plain,
% 41.75/41.94      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 41.75/41.94      | ~ c_Parity_Oeven(X2,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11976_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20778,plain,
% 41.75/41.94      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 41.75/41.94      | ~ c_Parity_Oeven(X2,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3400]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20779,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20778]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3368,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11990_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20714,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3368]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20715,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20714]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3364,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11991_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20706,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3364]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20707,plain,
% 41.75/41.94      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20706]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3350,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11999_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20678,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3350]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20679,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20678]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3329,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12023_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20636,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3329]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20637,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20636]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3326,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12024_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20630,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3326]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20631,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20630]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3323,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12025_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20624,plain,
% 41.75/41.94      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3323]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20625,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20624]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3286,plain,
% 41.75/41.94      ( c_less(c_0,X0,tc_nat)
% 41.75/41.94      | c_Nat_Opower(X1,X0,X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12055_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20550,plain,
% 41.75/41.94      ( c_less(c_0,X0,tc_nat)
% 41.75/41.94      | c_Nat_Opower(X1,X0,X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3286]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20551,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_less(c_0,X1,tc_nat)
% 41.75/41.94      | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20550]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3282,plain,
% 41.75/41.94      ( c_less(c_1,X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12059_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20542,plain,
% 41.75/41.94      ( c_less(c_1,X0,tc_IntDef_Oint)
% 41.75/41.94      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3282]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20543,plain,
% 41.75/41.94      ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 41.75/41.94      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20542]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3279,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12060_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20536,plain,
% 41.75/41.94      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3279]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20537,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20536]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3267,plain,
% 41.75/41.94      ( c_Nat_Opower(c_0,X0,X1) = c_0
% 41.75/41.94      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12065_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20512,plain,
% 41.75/41.94      ( c_Nat_Opower(c_0,X0,X1) = c_0
% 41.75/41.94      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Power_Orecpower(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3267]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20513,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.94      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20512]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3252,plain,
% 41.75/41.94      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.75/41.94      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12071_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20482,plain,
% 41.75/41.94      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.75/41.94      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3252]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20483,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.94      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 41.75/41.94      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20482]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3238,plain,
% 41.75/41.94      ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 41.75/41.94      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12081_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20454,plain,
% 41.75/41.94      ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 41.75/41.94      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3238]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20455,plain,
% 41.75/41.94      ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 41.75/41.94      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20454]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3232,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12085_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20442,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3232]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20443,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20442]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3229,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12086_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20436,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3229]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20437,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20436]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3226,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12087_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20430,plain,
% 41.75/41.94      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3226]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20431,plain,
% 41.75/41.94      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.94      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20430]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3206,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12095_3) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20390,plain,
% 41.75/41.94      ( X0 = c_0
% 41.75/41.94      | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 41.75/41.94      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.94      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3206]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20391,plain,
% 41.75/41.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.94      | ~ class_Power_Orecpower(X0)
% 41.75/41.94      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 41.75/41.94      | X1 = c_0 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20390]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3202,plain,
% 41.75/41.94      ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12097_1) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20382,plain,
% 41.75/41.94      ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3202]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20383,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20382]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3199,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12098_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20376,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3199]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20377,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20376]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3196,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12099_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20370,plain,
% 41.75/41.94      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.94      inference(copy,[status(esa)],[c_3196]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20371,plain,
% 41.75/41.94      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.94      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.94      inference(rewriting,[status(thm)],[c_20370]) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_3161,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.94      | c_Numeral_Onumber__of(X0,X1) != c_0
% 41.75/41.94      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.94      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12122_2) ).
% 41.75/41.94  
% 41.75/41.94  cnf(c_20300,plain,
% 41.75/41.94      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 41.75/41.95      | c_Numeral_Onumber__of(X0,X1) != c_0
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_3161]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20301,plain,
% 41.75/41.95      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.95      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 41.75/41.95      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_20300]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_3112,plain,
% 41.75/41.95      ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.75/41.95      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12148_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20202,plain,
% 41.75/41.95      ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.75/41.95      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_3112]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20203,plain,
% 41.75/41.95      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber(X0)
% 41.75/41.95      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_20202]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_3082,plain,
% 41.75/41.95      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 41.75/41.95      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12164_3) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20142,plain,
% 41.75/41.95      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 41.75/41.95      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_3082]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20143,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0)
% 41.75/41.95      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_20142]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_3064,plain,
% 41.75/41.95      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 41.75/41.95      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12170_3) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20106,plain,
% 41.75/41.95      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 41.75/41.95      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_3064]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20107,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0)
% 41.75/41.95      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.95      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_20106]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_3011,plain,
% 41.75/41.95      ( X0 = c_0
% 41.75/41.95      | c_Nat_Opower(X0,X1,X2) != c_0
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.95      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12194_3) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20000,plain,
% 41.75/41.95      ( X0 = c_0
% 41.75/41.95      | c_Nat_Opower(X0,X1,X2) != c_0
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 41.75/41.95      | ~ class_Power_Orecpower(X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_3011]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_20001,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Power_Orecpower(X0)
% 41.75/41.95      | c_Nat_Opower(X1,X2,X0) != c_0
% 41.75/41.95      | X1 = c_0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_20000]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2994,plain,
% 41.75/41.95      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 41.75/41.95      | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.75/41.95      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12201_3) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19966,plain,
% 41.75/41.95      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 41.75/41.95      | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.75/41.95      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2994]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19967,plain,
% 41.75/41.95      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber(X0)
% 41.75/41.95      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 41.75/41.95      | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19966]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2990,plain,
% 41.75/41.95      ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.95      | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X2)
% 41.75/41.95      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12202_3) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19958,plain,
% 41.75/41.95      ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 41.75/41.95      | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 41.75/41.95      | ~ class_OrderedGroup_Oab__group__add(X2)
% 41.75/41.95      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2990]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19959,plain,
% 41.75/41.95      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber(X0)
% 41.75/41.95      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 41.75/41.95      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19958]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2925,plain,
% 41.75/41.95      ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12232_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19828,plain,
% 41.75/41.95      ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2925]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19829,plain,
% 41.75/41.95      ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19828]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2898,plain,
% 41.75/41.95      ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12244_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19774,plain,
% 41.75/41.95      ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2898]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19775,plain,
% 41.75/41.95      ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19774]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2896,plain,
% 41.75/41.95      ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12245_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19770,plain,
% 41.75/41.95      ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2896]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19771,plain,
% 41.75/41.95      ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19770]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2803,plain,
% 41.75/41.95      ( X0 = c_0
% 41.75/41.95      | c_lessequals(X0,X1,tc_nat)
% 41.75/41.95      | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12311_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19584,plain,
% 41.75/41.95      ( X0 = c_0
% 41.75/41.95      | c_lessequals(X0,X1,tc_nat)
% 41.75/41.95      | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2803]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19585,plain,
% 41.75/41.95      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.95      | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 41.75/41.95      | X0 = c_0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19584]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2792,plain,
% 41.75/41.95      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12318_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19562,plain,
% 41.75/41.95      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2792]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19563,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.95      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19562]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2632,plain,
% 41.75/41.95      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12493_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19242,plain,
% 41.75/41.95      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2632]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19243,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.95      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19242]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2626,plain,
% 41.75/41.95      ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12495_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19230,plain,
% 41.75/41.95      ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 41.75/41.95      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2626]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19231,plain,
% 41.75/41.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.95      | ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.95      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19230]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2608,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12514_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19194,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2608]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19195,plain,
% 41.75/41.95      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1)
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19194]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2605,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12515_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19188,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2605]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19189,plain,
% 41.75/41.95      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1)
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19188]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_2602,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12516_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19182,plain,
% 41.75/41.95      ( ~ class_Finite__Set_Ofinite(X0)
% 41.75/41.95      | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_2602]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_19183,plain,
% 41.75/41.95      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X1)
% 41.75/41.95      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_19182]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_316,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12386_0) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14856,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_316]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14857,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_14856]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_309,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12400_0) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14844,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_309]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14845,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_14844]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_304,plain,
% 41.75/41.95      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12408_0) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14837,plain,
% 41.75/41.95      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_304]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_14838,plain,
% 41.75/41.95      ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_14837]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6013,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_4) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_8372,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6013]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_8376,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_8372]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_8377,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_8376]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_8378,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_8377]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_26004,negated_conjecture,
% 41.75/41.95      ( ~ c_Relation_Otrans(v_r,t_a) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_8378]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6011,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),X5,X3),X1,tc_prod(X5,X3))
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11004_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_26000,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),X5,X3),X1,tc_prod(X5,X3))
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6011]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6009,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X3,X4),X0,tc_prod(X3,X4))
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11005_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25996,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Orel__compE__2(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X3,X4),X0,tc_prod(X3,X4))
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6009]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6007,plain,
% 41.75/41.95      ( c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X5,X4) = X2
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11006_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25992,plain,
% 41.75/41.95      ( c_Pair(c_Main_Orel__compE__1(X0,X1,X2,X3,X4,X5),c_Main_Orel__compE__3(X0,X1,X2,X3,X4,X5),X5,X4) = X2
% 41.75/41.95      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6007]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25993,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 41.75/41.95      | c_Pair(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),X5,X4) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25992]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6005,plain,
% 41.75/41.95      ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11007_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25988,plain,
% 41.75/41.95      ( c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6005]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25989,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__2(X0,X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25988]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6003,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11008_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25984,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Main_OdprodE__3(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6003]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_6001,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11009_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25980,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Main_OdprodE__4(X0,X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_6001]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5990,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11013_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25958,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5990]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5988,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__2(X1,X2,X3,X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11014_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25954,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__2(X1,X2,X3,X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5988]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25955,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X1,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25954]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5985,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11015_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25948,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5985]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5983,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11016_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25944,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5983]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5981,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X3,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11017_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25940,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X3,X4),X2,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X1,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5981]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25941,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25940]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5978,plain,
% 41.75/41.95      ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.95      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.95      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11018_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25934,plain,
% 41.75/41.95      ( c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.95      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X4,X1,X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X4,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1
% 41.75/41.95      | ~ c_in(X1,c_Datatype__Universe_Odsum(X4,X0,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5978]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25935,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
% 41.75/41.95      | c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0
% 41.75/41.95      | c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X2,X0,X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25934]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5976,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11019_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25930,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5976]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5974,plain,
% 41.75/41.95      ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X4) = X1
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11020_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25926,plain,
% 41.75/41.95      ( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,X1,X2,X3,X4),X4) = X1
% 41.75/41.95      | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5974]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25927,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
% 41.75/41.95      | c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X3) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25926]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5972,plain,
% 41.75/41.95      ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons1__2(X0,X1,X2,X3,X4),X4) = X1
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X2,X3,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11021_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25922,plain,
% 41.75/41.95      ( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,X1,X2,X3,X4),c_Main_Olistrel__Cons1__2(X0,X1,X2,X3,X4),X4) = X1
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X2,X3,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X0,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5972]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25923,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X2) = X3 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25922]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5970,plain,
% 41.75/41.95      ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,X2,X3,X4),c_Main_OuprodE__2(X0,X1,X2,X3,X4),X3,X4) = X2
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11022_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25918,plain,
% 41.75/41.95      ( c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,X2,X3,X4),c_Main_OuprodE__2(X0,X1,X2,X3,X4),X3,X4) = X2
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5970]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25919,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X2,X0,X3,X4),c_Main_OuprodE__2(X1,X2,X0,X3,X4),X3,X4) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25918]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5967,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 41.75/41.95      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11023_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25912,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 41.75/41.95      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5967]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5965,plain,
% 41.75/41.95      ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 41.75/41.95      | ~ c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11024_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25908,plain,
% 41.75/41.95      ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 41.75/41.95      | ~ c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X2,X1,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5965]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25909,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25908]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5960,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X2,X3,X0,X4,X5) != c_Tarski_Opotype_Opotype__ext(X6,X7,X1,X4,X5) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11029_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25898,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X2,X3,X0,X4,X5) != c_Tarski_Opotype_Opotype__ext(X6,X7,X1,X4,X5) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5960]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25899,plain,
% 41.75/41.95      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 41.75/41.95      | X2 = X7 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25898]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5958,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X2,X0,X3,X4,X5) != c_Tarski_Opotype_Opotype__ext(X6,X1,X7,X4,X5) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11030_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25894,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X2,X0,X3,X4,X5) != c_Tarski_Opotype_Opotype__ext(X6,X1,X7,X4,X5) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5958]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25895,plain,
% 41.75/41.95      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 41.75/41.95      | X1 = X6 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25894]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5956,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X0,X2,X3,X4,X5) != c_Tarski_Opotype_Opotype__ext(X1,X6,X7,X4,X5) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11031_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25890,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_Tarski_Opotype_Opotype__ext(X0,X2,X3,X4,X5) != c_Tarski_Opotype_Opotype__ext(X1,X6,X7,X4,X5) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5956]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25891,plain,
% 41.75/41.95      ( c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,X4) != c_Tarski_Opotype_Opotype__ext(X5,X6,X7,X3,X4)
% 41.75/41.95      | X0 = X5 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25890]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5953,plain,
% 41.75/41.95      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.95      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11032_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25884,plain,
% 41.75/41.95      ( c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))
% 41.75/41.95      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5953]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25885,plain,
% 41.75/41.95      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | c_IntDiv_Oadjust(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) = c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25884]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5948,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_OIn1(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11034_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25874,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_OIn1(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5948]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5946,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_OIn0(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11035_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25870,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_OIn0(X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X4,X5,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5946]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5941,plain,
% 41.75/41.95      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11037_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25860,plain,
% 41.75/41.95      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5941]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5939,plain,
% 41.75/41.95      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11038_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25856,plain,
% 41.75/41.95      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5939]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5936,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11039_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25850,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5936]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25851,plain,
% 41.75/41.95      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25850]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5930,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11041_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25838,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5930]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25839,plain,
% 41.75/41.95      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25838]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5925,plain,
% 41.75/41.95      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11043_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25828,plain,
% 41.75/41.95      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5925]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5923,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11044_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25824,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5923]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25825,plain,
% 41.75/41.95      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25824]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5921,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11045_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25820,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5921]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25821,plain,
% 41.75/41.95      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25820]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5918,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11046_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25814,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5918]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25815,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25814]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5915,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11047_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25808,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X2),c_List_Olist_OCons(X5,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5915]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25809,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25808]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5913,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11049_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25804,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Pair(X0,X1,tc_nat,tc_nat),c_Pair(X2,X3,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5913]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5911,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OconverseE__1(X0,X1,X2,X3),c_Main_OconverseE__2(X0,X1,X2,X3),X2,X3),X0,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11050_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25800,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_OconverseE__1(X0,X1,X2,X3),c_Main_OconverseE__2(X0,X1,X2,X3),X2,X3),X0,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5911]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5909,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11051_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25796,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5909]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25797,plain,
% 41.75/41.95      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.95      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25796]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5907,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11052_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25792,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5907]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5904,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.95      | c_in(c_Pair(X0,X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X1),c_List_Olist_OCons(X5,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11056_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25786,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.95      | c_in(c_Pair(X0,X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X4,X0,X1),c_List_Olist_OCons(X5,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5904]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25787,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X1,X4,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25786]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5901,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11057_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25780,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5901]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25781,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 41.75/41.95      | X0 = X3 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25780]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5898,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11058_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25774,plain,
% 41.75/41.95      ( X0 = X1
% 41.75/41.95      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X0,X4,X2),c_List_Olist_OCons(X1,X5,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5898]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25775,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 41.75/41.95      | X0 = X3 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25774]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5887,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11062_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25752,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5887]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5885,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11063_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25748,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X0,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5885]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5883,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11064_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25744,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5883]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5880,plain,
% 41.75/41.95      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11065_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25738,plain,
% 41.75/41.95      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5880]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25739,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 41.75/41.95      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 41.75/41.95      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25738]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5875,plain,
% 41.75/41.95      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11067_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25728,plain,
% 41.75/41.95      ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5875]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25729,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
% 41.75/41.95      | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25728]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5872,plain,
% 41.75/41.95      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 41.75/41.95      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11068_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25722,plain,
% 41.75/41.95      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 41.75/41.95      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 41.75/41.95      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5872]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25723,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 41.75/41.95      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 41.75/41.95      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25722]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5861,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11073_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25700,plain,
% 41.75/41.95      ( c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5861]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5859,plain,
% 41.75/41.95      ( c_Wellfounded__Recursion_Owf(X0,X1)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11074_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25696,plain,
% 41.75/41.95      ( c_Wellfounded__Recursion_Owf(X0,X1)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5859]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25697,plain,
% 41.75/41.95      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.95      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25696]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5857,plain,
% 41.75/41.95      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11075_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25692,plain,
% 41.75/41.95      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5857]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25693,plain,
% 41.75/41.95      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.95      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25692]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5855,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 41.75/41.95      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11076_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25688,plain,
% 41.75/41.95      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 41.75/41.95      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5855]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5853,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11077_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25684,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5853]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5847,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11079_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25672,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 41.75/41.95      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5847]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5845,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11080_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25668,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5845]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5842,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.95      | X3 = X4
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X1),c_List_Olist_OCons(X4,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11081_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25662,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.95      | X3 = X4
% 41.75/41.95      | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X0,X1),c_List_Olist_OCons(X4,X2,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5842]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25663,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),c_List_Olist_OCons(X3,X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
% 41.75/41.95      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 41.75/41.95      | X0 = X3 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25662]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5840,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11082_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25658,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5840]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25659,plain,
% 41.75/41.95      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 41.75/41.95      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25658]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5838,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11083_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25654,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5838]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25655,plain,
% 41.75/41.95      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 41.75/41.95      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25654]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5836,plain,
% 41.75/41.95      ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 41.75/41.95      | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11084_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25650,plain,
% 41.75/41.95      ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 41.75/41.95      | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5836]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25651,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.95      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25650]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5834,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.95      | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3)
% 41.75/41.95      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11085_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25646,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.95      | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3)
% 41.75/41.95      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5834]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25647,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.95      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 41.75/41.95      | c_append(c_List_Ozip(X4,X5,X1,X3),c_List_Ozip(X0,X2,X1,X3),tc_prod(X1,X3)) = c_List_Ozip(c_append(X4,X0,X1),c_append(X5,X2,X3),X1,X3) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25646]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5831,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11086_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25640,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5831]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25641,plain,
% 41.75/41.95      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 41.75/41.95      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25640]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5829,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11089_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25636,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 41.75/41.95      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5829]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5820,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11092_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25618,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5820]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25619,plain,
% 41.75/41.95      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25618]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5814,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11094_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25606,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5814]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25607,plain,
% 41.75/41.95      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.95      | c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25606]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5812,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11096_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25602,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5812]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5807,plain,
% 41.75/41.95      ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 41.75/41.95      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11098_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25592,plain,
% 41.75/41.95      ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 41.75/41.95      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5807]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25593,plain,
% 41.75/41.95      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 41.75/41.95      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25592]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5805,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11100_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25588,plain,
% 41.75/41.95      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 41.75/41.95      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5805]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5802,plain,
% 41.75/41.95      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.95      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.95      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11101_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25582,plain,
% 41.75/41.95      ( c_in(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.95      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 41.75/41.95      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5802]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5796,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.95      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 41.75/41.95      | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11103_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25570,plain,
% 41.75/41.95      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 41.75/41.95      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 41.75/41.95      | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5796]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25571,plain,
% 41.75/41.95      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.95      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 41.75/41.95      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25570]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5794,plain,
% 41.75/41.95      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.95      | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2))
% 41.75/41.95      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11104_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25566,plain,
% 41.75/41.95      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.95      | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2))
% 41.75/41.95      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5794]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25567,plain,
% 41.75/41.95      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.95      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 41.75/41.95      | c_Pair(c_List_Onth(X3,X0,X4),c_List_Onth(X1,X0,X2),X4,X2) = c_List_Onth(c_List_Ozip(X3,X1,X4,X2),X0,tc_prod(X4,X2)) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25566]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5791,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11105_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25560,plain,
% 41.75/41.95      ( c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5791]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25561,plain,
% 41.75/41.95      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25560]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5789,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11106_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25556,plain,
% 41.75/41.95      ( c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5789]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25557,plain,
% 41.75/41.95      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.95      | c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) = c_div(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.95      inference(rewriting,[status(thm)],[c_25556]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5786,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11110_2) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25550,plain,
% 41.75/41.95      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 41.75/41.95      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 41.75/41.95      inference(copy,[status(esa)],[c_5786]) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_5784,plain,
% 41.75/41.95      ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 41.75/41.95      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 41.75/41.95      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11115_1) ).
% 41.75/41.95  
% 41.75/41.95  cnf(c_25546,plain,
% 41.75/41.96      ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 41.75/41.96      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5784]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25547,plain,
% 41.75/41.96      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.96      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25546]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5782,plain,
% 41.75/41.96      ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 41.75/41.96      | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11116_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25542,plain,
% 41.75/41.96      ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 41.75/41.96      | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5782]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25543,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 41.75/41.96      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25542]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5779,plain,
% 41.75/41.96      ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
% 41.75/41.96      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11117_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25536,plain,
% 41.75/41.96      ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
% 41.75/41.96      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5779]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25537,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25536]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5777,plain,
% 41.75/41.96      ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11118_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25532,plain,
% 41.75/41.96      ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5777]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25533,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.96      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25532]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5775,plain,
% 41.75/41.96      ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 41.75/41.96      | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11119_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25528,plain,
% 41.75/41.96      ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 41.75/41.96      | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5775]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25529,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 41.75/41.96      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25528]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5745,plain,
% 41.75/41.96      ( X0 = c_List_Olist_ONil
% 41.75/41.96      | ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11126_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25468,plain,
% 41.75/41.96      ( X0 = c_List_Olist_ONil
% 41.75/41.96      | ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5745]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25469,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 41.75/41.96      | X0 = c_List_Olist_ONil ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25468]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5743,plain,
% 41.75/41.96      ( X0 = c_List_Olist_ONil
% 41.75/41.96      | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11127_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25464,plain,
% 41.75/41.96      ( X0 = c_List_Olist_ONil
% 41.75/41.96      | ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5743]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25465,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
% 41.75/41.96      | X0 = c_List_Olist_ONil ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25464]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5707,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11137_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25392,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5707]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5705,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11140_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25388,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5705]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25389,plain,
% 41.75/41.96      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 41.75/41.96      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25388]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5703,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
% 41.75/41.96      | ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11141_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25384,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
% 41.75/41.96      | ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5703]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25385,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25384]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5701,plain,
% 41.75/41.96      ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11142_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25380,plain,
% 41.75/41.96      ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5701]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25381,plain,
% 41.75/41.96      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25380]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5699,plain,
% 41.75/41.96      ( c_in(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 41.75/41.96      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11144_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25376,plain,
% 41.75/41.96      ( c_in(c_Datatype__Universe_OIn1(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 41.75/41.96      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5699]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5697,plain,
% 41.75/41.96      ( c_in(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 41.75/41.96      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11145_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25372,plain,
% 41.75/41.96      ( c_in(c_Datatype__Universe_OIn0(X0,X1,X2),c_Datatype__Universe_Ousum(X3,X4,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
% 41.75/41.96      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5697]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5688,plain,
% 41.75/41.96      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11149_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25354,plain,
% 41.75/41.96      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5688]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25355,plain,
% 41.75/41.96      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.96      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25354]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5686,plain,
% 41.75/41.96      ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11152_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25350,plain,
% 41.75/41.96      ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5686]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25351,plain,
% 41.75/41.96      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25350]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5684,plain,
% 41.75/41.96      ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11153_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25346,plain,
% 41.75/41.96      ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5684]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25347,plain,
% 41.75/41.96      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25346]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5682,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11154_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25342,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5682]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25343,plain,
% 41.75/41.96      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 41.75/41.96      | X1 = X5 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25342]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5680,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11155_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25338,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5680]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25339,plain,
% 41.75/41.96      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 41.75/41.96      | X0 = X4 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_25338]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5582,plain,
% 41.75/41.96      ( c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11172_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25142,plain,
% 41.75/41.96      ( c_less(c_0,c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5582]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5580,plain,
% 41.75/41.96      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 41.75/41.96      | ~ c_in(X0,X4,X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11174_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25138,plain,
% 41.75/41.96      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 41.75/41.96      | ~ c_in(X0,X4,X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5580]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5578,plain,
% 41.75/41.96      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 41.75/41.96      | ~ c_in(X0,X3,X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11175_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_25134,plain,
% 41.75/41.96      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 41.75/41.96      | ~ c_in(X0,X3,X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5578]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5472,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 41.75/41.96      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11196_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24922,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 41.75/41.96      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5472]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24923,plain,
% 41.75/41.96      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.96      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24922]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5470,plain,
% 41.75/41.96      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 41.75/41.96      | ~ c_in(X0,X2,X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11197_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24918,plain,
% 41.75/41.96      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 41.75/41.96      | ~ c_in(X0,X2,X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5470]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5468,plain,
% 41.75/41.96      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.96      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11198_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24914,plain,
% 41.75/41.96      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 41.75/41.96      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5468]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5466,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Olist_OCons(X1,c_List_Otake(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11199_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24910,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Olist_OCons(X1,c_List_Otake(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3),X3) = c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5466]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5464,plain,
% 41.75/41.96      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 41.75/41.96      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11200_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24906,plain,
% 41.75/41.96      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 41.75/41.96      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5464]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24907,plain,
% 41.75/41.96      ( ~ c_less(X0,X1,tc_nat)
% 41.75/41.96      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24906]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5462,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11201_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24902,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5462]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5460,plain,
% 41.75/41.96      ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 41.75/41.96      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11202_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24898,plain,
% 41.75/41.96      ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 41.75/41.96      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5460]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24899,plain,
% 41.75/41.96      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 41.75/41.96      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24898]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5458,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11203_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24894,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5458]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24895,plain,
% 41.75/41.96      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 41.75/41.96      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24894]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5456,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 41.75/41.96      | X1 = X4 ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11205_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24890,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 41.75/41.96      | X1 = X4 ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5456]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5454,plain,
% 41.75/41.96      ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_plus(X2,c_div(X0,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11206_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24886,plain,
% 41.75/41.96      ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X1,tc_nat) = c_plus(X2,c_div(X0,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5454]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24887,plain,
% 41.75/41.96      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_div(c_plus(X1,c_times(X0,X2,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24886]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5452,plain,
% 41.75/41.96      ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_plus(X1,c_div(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11207_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24882,plain,
% 41.75/41.96      ( c_div(c_plus(X0,c_times(X1,X2,tc_nat),tc_nat),X2,tc_nat) = c_plus(X1,c_div(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5452]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24883,plain,
% 41.75/41.96      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_div(c_plus(X1,c_times(X2,X0,tc_nat),tc_nat),X0,tc_nat) = c_plus(X2,c_div(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24882]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5449,plain,
% 41.75/41.96      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11211_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24876,plain,
% 41.75/41.96      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 41.75/41.96      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5449]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5446,plain,
% 41.75/41.96      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.96      | ~ c_Relation_Otrans(X0,X2)
% 41.75/41.96      | ~ c_Relation_Otrans(X1,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11212_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24870,plain,
% 41.75/41.96      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 41.75/41.96      | ~ c_Relation_Otrans(X0,X2)
% 41.75/41.96      | ~ c_Relation_Otrans(X1,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5446]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5326,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X2,X4,X0)
% 41.75/41.96      | c_lessequals(X2,X1,X0) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11238_0) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24630,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X2,X4,X0)
% 41.75/41.96      | c_lessequals(X2,X1,X0) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5326]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5323,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11238_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24624,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5323]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24625,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X2,X1,X0)
% 41.75/41.96      | c_lessequals(X2,X4,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24624]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5322,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X3,X1,X0)
% 41.75/41.96      | c_lessequals(X2,X1,X0) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11239_0) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24622,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X3,X1,X0)
% 41.75/41.96      | c_lessequals(X2,X1,X0) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5322]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5319,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | c_lessequals(X3,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11239_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24616,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | c_lessequals(X3,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5319]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24617,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | c_lessequals(X2,X1,X0)
% 41.75/41.96      | c_lessequals(X3,X1,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24616]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5291,plain,
% 41.75/41.96      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11250_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24560,plain,
% 41.75/41.96      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5291]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24561,plain,
% 41.75/41.96      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 41.75/41.96      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24560]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5289,plain,
% 41.75/41.96      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11251_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24556,plain,
% 41.75/41.96      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5289]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24557,plain,
% 41.75/41.96      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 41.75/41.96      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24556]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5259,plain,
% 41.75/41.96      ( c_minus(c_Suc(c_minus(X0,X1,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X0),c_plus(X1,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11259_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24496,plain,
% 41.75/41.96      ( c_minus(c_Suc(c_minus(X0,X1,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X0),c_plus(X1,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5259]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24497,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | c_minus(c_Suc(c_minus(X1,X0,tc_nat)),X2,tc_nat) = c_minus(c_Suc(X1),c_plus(X0,X2,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24496]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5257,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_minus(X0,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11260_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24492,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),c_Suc(X2),tc_nat) = c_minus(X0,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5257]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24493,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | c_minus(c_plus(X2,X0,tc_nat),c_Suc(X1),tc_nat) = c_minus(X2,c_Suc(c_minus(X1,X0,tc_nat)),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24492]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5255,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_append(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11261_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24488,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_append(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5255]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24489,plain,
% 41.75/41.96      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 41.75/41.96      | X1 = X4 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24488]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5253,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_append(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11262_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24484,plain,
% 41.75/41.96      ( X0 = X1
% 41.75/41.96      | c_append(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5253]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24485,plain,
% 41.75/41.96      ( c_append(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) != c_append(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil,X2),X2)
% 41.75/41.96      | X0 = X3 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24484]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5251,plain,
% 41.75/41.96      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 41.75/41.96      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11263_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24480,plain,
% 41.75/41.96      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 41.75/41.96      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5251]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24481,plain,
% 41.75/41.96      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.96      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24480]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5248,plain,
% 41.75/41.96      ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | X1 = c_Numeral_Obit_OB0
% 41.75/41.96      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11266_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24474,plain,
% 41.75/41.96      ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | X1 = c_Numeral_Obit_OB0
% 41.75/41.96      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5248]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24475,plain,
% 41.75/41.96      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | X2 = c_Numeral_Obit_OB0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24474]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5197,plain,
% 41.75/41.96      ( c_less(X0,X1,X2)
% 41.75/41.96      | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11278_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24372,plain,
% 41.75/41.96      ( c_less(X0,X1,X2)
% 41.75/41.96      | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5197]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24373,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 41.75/41.96      | c_less(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24372]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5194,plain,
% 41.75/41.96      ( c_less(X0,X1,X2)
% 41.75/41.96      | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11279_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24366,plain,
% 41.75/41.96      ( c_less(X0,X1,X2)
% 41.75/41.96      | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5194]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24367,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 41.75/41.96      | c_less(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24366]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5191,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11280_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24360,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5191]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24361,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 41.75/41.96      | c_lessequals(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24360]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5188,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11281_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24354,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,X2)
% 41.75/41.96      | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5188]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24355,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 41.75/41.96      | c_lessequals(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24354]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5157,plain,
% 41.75/41.96      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11292_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24292,plain,
% 41.75/41.96      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5157]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5155,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11293_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24288,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5155]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24289,plain,
% 41.75/41.96      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | c_less(X1,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24288]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5153,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11294_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24284,plain,
% 41.75/41.96      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5153]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24285,plain,
% 41.75/41.96      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24284]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5151,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11295_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24280,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5151]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24281,plain,
% 41.75/41.96      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.96      | c_less(X0,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24280]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5149,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11296_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24276,plain,
% 41.75/41.96      ( c_less(X0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5149]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24277,plain,
% 41.75/41.96      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | c_less(X1,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24276]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5147,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11299_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24272,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5147]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5145,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11300_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24268,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5145]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5117,plain,
% 41.75/41.96      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.96      | ~ c_lessequals(X1,X4,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11306_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24212,plain,
% 41.75/41.96      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X3,X0,X2)
% 41.75/41.96      | ~ c_lessequals(X1,X4,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5117]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24213,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | ~ c_lessequals(X3,X1,X0)
% 41.75/41.96      | ~ c_lessequals(X2,X4,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24212]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5114,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 41.75/41.96      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11307_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24206,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 41.75/41.96      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5114]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24207,plain,
% 41.75/41.96      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.96      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 41.75/41.96      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24206]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5112,plain,
% 41.75/41.96      ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 41.75/41.96      | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11308_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24202,plain,
% 41.75/41.96      ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 41.75/41.96      | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5112]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24203,plain,
% 41.75/41.96      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 41.75/41.96      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24202]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5100,plain,
% 41.75/41.96      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X1,X3,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11311_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24178,plain,
% 41.75/41.96      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X1,X3,X2),X2)
% 41.75/41.96      | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5100]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24179,plain,
% 41.75/41.96      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.96      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist_OCons(X0,c_List_Olist__inter(X3,X1,X2),X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24178]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5094,plain,
% 41.75/41.96      ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 41.75/41.96      | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11313_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24166,plain,
% 41.75/41.96      ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 41.75/41.96      | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5094]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_24167,plain,
% 41.75/41.96      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 41.75/41.96      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_24166]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_5002,plain,
% 41.75/41.96      ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 41.75/41.96      | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11336_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23982,plain,
% 41.75/41.96      ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 41.75/41.96      | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_5002]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23983,plain,
% 41.75/41.96      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 41.75/41.96      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23982]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4999,plain,
% 41.75/41.96      ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11337_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23976,plain,
% 41.75/41.96      ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4999]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23977,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.96      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23976]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4996,plain,
% 41.75/41.96      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11341_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23970,plain,
% 41.75/41.96      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4996]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4990,plain,
% 41.75/41.96      ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11347_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23958,plain,
% 41.75/41.96      ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4990]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23959,plain,
% 41.75/41.96      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23958]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4948,plain,
% 41.75/41.96      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_minus(X2,c_Numeral_Onumber__of(X3,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X3)),X1),X2,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11356_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23874,plain,
% 41.75/41.96      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_minus(X2,c_Numeral_Onumber__of(X3,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X3)),X1),X2,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4948]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23875,plain,
% 41.75/41.96      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.96      | c_plus(c_Numeral_Onumber__of(X1,X0),c_minus(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X3)),X0),X2,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23874]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4946,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11357_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23870,plain,
% 41.75/41.96      ( c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1
% 41.75/41.96      | c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4946]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4935,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11360_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23848,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4935]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4933,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11361_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23844,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X0,tc_nat),c_1,tc_nat),X2,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4933]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4906,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11367_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23790,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4906]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23791,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23790]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4904,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X2,X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11368_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23786,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X2,X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4904]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23787,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23786]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4902,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 41.75/41.96      | ~ c_lessequals(X2,X0,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11369_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23782,plain,
% 41.75/41.96      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 41.75/41.96      | ~ c_lessequals(X2,X0,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4902]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23783,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.96      | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23782]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4895,plain,
% 41.75/41.96      ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11372_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23768,plain,
% 41.75/41.96      ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4895]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23769,plain,
% 41.75/41.96      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23768]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4893,plain,
% 41.75/41.96      ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11373_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23764,plain,
% 41.75/41.96      ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4893]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23765,plain,
% 41.75/41.96      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23764]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4887,plain,
% 41.75/41.96      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 41.75/41.96      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11375_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23752,plain,
% 41.75/41.96      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 41.75/41.96      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4887]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4880,plain,
% 41.75/41.96      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 41.75/41.96      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11377_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23738,plain,
% 41.75/41.96      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 41.75/41.96      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4880]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23739,plain,
% 41.75/41.96      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 41.75/41.96      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23738]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4878,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11378_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23734,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4878]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23735,plain,
% 41.75/41.96      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23734]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4872,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11380_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23722,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4872]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23723,plain,
% 41.75/41.96      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23722]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4870,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11381_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23718,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4870]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23719,plain,
% 41.75/41.96      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23718]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4868,plain,
% 41.75/41.96      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11382_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23714,plain,
% 41.75/41.96      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4868]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4866,plain,
% 41.75/41.96      ( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.96      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11383_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23710,plain,
% 41.75/41.96      ( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.96      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4866]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23711,plain,
% 41.75/41.96      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 41.75/41.96      | c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23710]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4863,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11384_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23704,plain,
% 41.75/41.96      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4863]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23705,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 41.75/41.96      | c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23704]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4861,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11385_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23700,plain,
% 41.75/41.96      ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 41.75/41.96      | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4861]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23701,plain,
% 41.75/41.96      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 41.75/41.96      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23700]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4859,plain,
% 41.75/41.96      ( c_times(c_Numeral_Onumber__of(X0,X1),c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1),X3,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11386_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23696,plain,
% 41.75/41.96      ( c_times(c_Numeral_Onumber__of(X0,X1),c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1),X3,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4859]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23697,plain,
% 41.75/41.96      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.96      | c_times(c_Numeral_Onumber__of(X1,X0),c_times(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0),X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23696]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4857,plain,
% 41.75/41.96      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_plus(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1),X3,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11387_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23692,plain,
% 41.75/41.96      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_plus(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1),X3,X1)
% 41.75/41.96      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4857]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23693,plain,
% 41.75/41.96      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.96      | c_plus(c_Numeral_Onumber__of(X1,X0),c_plus(c_Numeral_Onumber__of(X2,X0),X3,X0),X0) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0),X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23692]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4831,plain,
% 41.75/41.96      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.96      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11392_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23640,plain,
% 41.75/41.96      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.96      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4831]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23641,plain,
% 41.75/41.96      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23640]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4823,plain,
% 41.75/41.96      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11394_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23624,plain,
% 41.75/41.96      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4823]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23625,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 41.75/41.96      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23624]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4818,plain,
% 41.75/41.96      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_less(X0,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,X0,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11395_4) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23614,plain,
% 41.75/41.96      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_less(X0,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,X0,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4818]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4808,plain,
% 41.75/41.96      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.96      | ~ c_less(X0,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,c_0,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11397_4) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23594,plain,
% 41.75/41.96      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.96      | ~ c_less(X0,c_0,X1)
% 41.75/41.96      | ~ c_less(X2,c_0,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4808]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4803,plain,
% 41.75/41.96      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.96      | ~ c_less(c_0,X0,X1)
% 41.75/41.96      | ~ c_less(c_0,X2,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11398_4) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23584,plain,
% 41.75/41.96      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 41.75/41.96      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.96      | ~ c_less(c_0,X0,X1)
% 41.75/41.96      | ~ c_less(c_0,X2,X1)
% 41.75/41.96      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4803]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4801,plain,
% 41.75/41.96      ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 41.75/41.96      | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11399_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23580,plain,
% 41.75/41.96      ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 41.75/41.96      | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4801]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23581,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.96      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23580]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4799,plain,
% 41.75/41.96      ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 41.75/41.96      | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11400_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23576,plain,
% 41.75/41.96      ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 41.75/41.96      | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4799]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23577,plain,
% 41.75/41.96      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.96      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23576]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4794,plain,
% 41.75/41.96      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11402_0) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23566,plain,
% 41.75/41.96      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4794]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4792,plain,
% 41.75/41.96      ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11402_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23562,plain,
% 41.75/41.96      ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4792]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23563,plain,
% 41.75/41.96      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23562]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4789,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ c_less(X0,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11403_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23556,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ c_less(X0,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4789]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23557,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_less(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23556]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4786,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 41.75/41.96      | ~ c_less(X1,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11404_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23550,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 41.75/41.96      | ~ c_less(X1,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4786]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23551,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 41.75/41.96      | ~ c_less(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23550]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4783,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11405_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23544,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4783]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23545,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23544]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4780,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11406_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23538,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X2)
% 41.75/41.96      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4780]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23539,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.75/41.96      | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 41.75/41.96      | ~ c_lessequals(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23538]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4777,plain,
% 41.75/41.96      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X0,X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11407_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23532,plain,
% 41.75/41.96      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X0,X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4777]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4774,plain,
% 41.75/41.96      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 41.75/41.96      | ~ c_lessequals(X0,X1,tc_set(X3))
% 41.75/41.96      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11408_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23526,plain,
% 41.75/41.96      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 41.75/41.96      | ~ c_lessequals(X0,X1,tc_set(X3))
% 41.75/41.96      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4774]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4772,plain,
% 41.75/41.96      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11409_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23522,plain,
% 41.75/41.96      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4772]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4770,plain,
% 41.75/41.96      ( c_in(X0,X1,X2)
% 41.75/41.96      | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11410_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23518,plain,
% 41.75/41.96      ( c_in(X0,X1,X2)
% 41.75/41.96      | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4770]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23519,plain,
% 41.75/41.96      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 41.75/41.96      | c_in(X0,X3,X2) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23518]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4763,plain,
% 41.75/41.96      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11414_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23504,plain,
% 41.75/41.96      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.96      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4763]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4754,plain,
% 41.75/41.96      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11416_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23486,plain,
% 41.75/41.96      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.96      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4754]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4751,plain,
% 41.75/41.96      ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X3,tc_set(X2))
% 41.75/41.96      | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11417_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23480,plain,
% 41.75/41.96      ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.96      | ~ c_lessequals(X1,X3,tc_set(X2))
% 41.75/41.96      | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4751]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4748,plain,
% 41.75/41.96      ( c_Nat_Opower(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.96      | ~ class_Power_Orecpower(X1)
% 41.75/41.96      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11418_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23474,plain,
% 41.75/41.96      ( c_Nat_Opower(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.96      | ~ class_Power_Orecpower(X1)
% 41.75/41.96      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4748]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23475,plain,
% 41.75/41.96      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.96      | ~ class_Power_Orecpower(X0)
% 41.75/41.96      | c_Nat_Opower(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23474]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4747,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | c_less(c_0,X0,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11419_0) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23472,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | c_less(c_0,X0,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4747]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4745,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11419_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23468,plain,
% 41.75/41.96      ( c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_less(c_0,X1,tc_nat)
% 41.75/41.96      | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4745]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23469,plain,
% 41.75/41.96      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.96      | c_less(c_0,X0,tc_nat)
% 41.75/41.96      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23468]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4703,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11428_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23384,plain,
% 41.75/41.96      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4703]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4701,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11429_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23380,plain,
% 41.75/41.96      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4701]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4699,plain,
% 41.75/41.96      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X0,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11430_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23376,plain,
% 41.75/41.96      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X0,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4699]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4697,plain,
% 41.75/41.96      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11431_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23372,plain,
% 41.75/41.96      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.96      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4697]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4675,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_less(X1,X2,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_less(X3,X1,X0) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11436_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23328,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_less(X1,X2,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_less(X3,X1,X0) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4675]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23329,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_less(X1,X2,X0)
% 41.75/41.96      | ~ c_less(X3,X1,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23328]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4663,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_lessequals(X3,X1,X0) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11439_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23304,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 41.75/41.96      | ~ c_lessequals(X3,X1,X0) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4663]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23305,plain,
% 41.75/41.96      ( ~ class_Orderings_Oord(X0)
% 41.75/41.96      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.96      | ~ c_lessequals(X3,X1,X0)
% 41.75/41.96      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23304]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4657,plain,
% 41.75/41.96      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11440_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23292,plain,
% 41.75/41.96      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 41.75/41.96      | ~ c_lessequals(X0,X3,X2)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4657]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23293,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X0)
% 41.75/41.96      | ~ c_lessequals(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23292]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4653,plain,
% 41.75/41.96      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_lessequals(X0,X1,X3)
% 41.75/41.96      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11441_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23284,plain,
% 41.75/41.96      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_lessequals(X0,X1,X3)
% 41.75/41.96      | ~ c_lessequals(X0,X2,X3)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4653]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23285,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.96      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.96      | ~ c_lessequals(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23284]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4649,plain,
% 41.75/41.96      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_less(X0,X1,X3)
% 41.75/41.96      | ~ c_less(X0,X2,X3)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11442_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23276,plain,
% 41.75/41.96      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 41.75/41.96      | ~ c_less(X0,X1,X3)
% 41.75/41.96      | ~ c_less(X0,X2,X3)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4649]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23277,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.96      | ~ c_less(X1,X2,X0)
% 41.75/41.96      | ~ c_less(X1,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23276]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4645,plain,
% 41.75/41.96      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 41.75/41.96      | ~ c_less(X0,X3,X2)
% 41.75/41.96      | ~ c_less(X1,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11443_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23268,plain,
% 41.75/41.96      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 41.75/41.96      | ~ c_less(X0,X3,X2)
% 41.75/41.96      | ~ c_less(X1,X3,X2)
% 41.75/41.96      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4645]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23269,plain,
% 41.75/41.96      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.96      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.96      | ~ c_less(X1,X3,X0)
% 41.75/41.96      | ~ c_less(X2,X3,X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23268]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4643,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11444_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23264,plain,
% 41.75/41.96      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.96      | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4643]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23265,plain,
% 41.75/41.96      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 41.75/41.96      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23264]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4639,plain,
% 41.75/41.96      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11446_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23256,plain,
% 41.75/41.96      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4639]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23257,plain,
% 41.75/41.96      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23256]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4635,plain,
% 41.75/41.96      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11448_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23248,plain,
% 41.75/41.96      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4635]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23249,plain,
% 41.75/41.96      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23248]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4612,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 41.75/41.96      | X1 = c_0
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11453_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23202,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 41.75/41.96      | X1 = c_0
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4612]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23203,plain,
% 41.75/41.96      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.96      | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 41.75/41.96      | X2 = c_0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23202]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4608,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 41.75/41.96      | X0 = c_0
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11454_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23194,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 41.75/41.96      | X0 = c_0
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4608]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23195,plain,
% 41.75/41.96      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.96      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 41.75/41.96      | X1 = c_0 ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23194]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4606,plain,
% 41.75/41.96      ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1),X1) = c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1)
% 41.75/41.96      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11455_1) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23190,plain,
% 41.75/41.96      ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1),X1) = c_plus(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1)
% 41.75/41.96      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4606]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23191,plain,
% 41.75/41.96      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.96      | c_HOL_Oabs(c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0),X0) = c_plus(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23190]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4603,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11456_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23184,plain,
% 41.75/41.96      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4603]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23185,plain,
% 41.75/41.96      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.96      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23184]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4600,plain,
% 41.75/41.96      ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11457_2) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23178,plain,
% 41.75/41.96      ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.96      inference(copy,[status(esa)],[c_4600]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23179,plain,
% 41.75/41.96      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.96      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.96      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 41.75/41.96      inference(rewriting,[status(thm)],[c_23178]) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_4596,plain,
% 41.75/41.96      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 41.75/41.96      | ~ c_in(X0,c_IntDef_ONats,X2)
% 41.75/41.96      | ~ c_in(X1,c_IntDef_ONats,X2)
% 41.75/41.96      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 41.75/41.96      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11458_3) ).
% 41.75/41.96  
% 41.75/41.96  cnf(c_23170,plain,
% 41.75/41.96      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 41.75/41.96      | ~ c_in(X0,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4596]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23171,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.97      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.97      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23170]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4592,plain,
% 41.75/41.97      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11459_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23162,plain,
% 41.75/41.97      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_ONats,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4592]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23163,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.97      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_ONats,X0)
% 41.75/41.97      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23162]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4588,plain,
% 41.75/41.97      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11460_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23154,plain,
% 41.75/41.97      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4588]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23155,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.97      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23154]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4584,plain,
% 41.75/41.97      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11461_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23146,plain,
% 41.75/41.97      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4584]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23147,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.97      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23146]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4580,plain,
% 41.75/41.97      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11462_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23138,plain,
% 41.75/41.97      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X0,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4580]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23139,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.97      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInts,X0)
% 41.75/41.97      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23138]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4574,plain,
% 41.75/41.97      ( c_in(X0,c_Inter(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11464_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23126,plain,
% 41.75/41.97      ( c_in(X0,c_Inter(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4574]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4572,plain,
% 41.75/41.97      ( c_in(X0,c_Inter(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11465_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23122,plain,
% 41.75/41.97      ( c_in(X0,c_Inter(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4572]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4565,plain,
% 41.75/41.97      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11467_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23108,plain,
% 41.75/41.97      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4565]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4563,plain,
% 41.75/41.97      ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11468_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23104,plain,
% 41.75/41.97      ( c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4563]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23105,plain,
% 41.75/41.97      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_nat),tc_IntDef_Oint)) = c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23104]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4561,plain,
% 41.75/41.97      ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11469_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23100,plain,
% 41.75/41.97      ( c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4561]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23101,plain,
% 41.75/41.97      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23100]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4559,plain,
% 41.75/41.97      ( c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1)
% 41.75/41.97      | ~ c_List_Odistinct(X0,X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11470_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23096,plain,
% 41.75/41.97      ( c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1)
% 41.75/41.97      | ~ c_List_Odistinct(X0,X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4559]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23097,plain,
% 41.75/41.97      ( ~ c_List_Odistinct(X0,X1)
% 41.75/41.97      | c_minus(c_List_Oset(X0,X1),c_insert(X2,c_emptyset,X1),tc_set(X1)) = c_List_Oset(c_List_Oremove1(X2,X0,X1),X1) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23096]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4557,plain,
% 41.75/41.97      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.97      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11471_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23092,plain,
% 41.75/41.97      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.97      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4557]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4555,plain,
% 41.75/41.97      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.97      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11472_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23088,plain,
% 41.75/41.97      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 41.75/41.97      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4555]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4552,plain,
% 41.75/41.97      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11473_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23082,plain,
% 41.75/41.97      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4552]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4550,plain,
% 41.75/41.97      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 41.75/41.97      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11475_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23078,plain,
% 41.75/41.97      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 41.75/41.97      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4550]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23079,plain,
% 41.75/41.97      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.97      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23078]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4548,plain,
% 41.75/41.97      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11476_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23074,plain,
% 41.75/41.97      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4548]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23075,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23074]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4546,plain,
% 41.75/41.97      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11477_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23070,plain,
% 41.75/41.97      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4546]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23071,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23070]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4527,plain,
% 41.75/41.97      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 41.75/41.97      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.97      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11482_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23032,plain,
% 41.75/41.97      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 41.75/41.97      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.97      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4527]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23033,plain,
% 41.75/41.97      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.97      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23032]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4525,plain,
% 41.75/41.97      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 41.75/41.97      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11483_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23028,plain,
% 41.75/41.97      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 41.75/41.97      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4525]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4523,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11487_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23024,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4523]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23025,plain,
% 41.75/41.97      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23024]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4520,plain,
% 41.75/41.97      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.97      | X1 = X0
% 41.75/41.97      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11489_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23018,plain,
% 41.75/41.97      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.97      | X1 = X0
% 41.75/41.97      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4520]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23019,plain,
% 41.75/41.97      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.97      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.97      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 41.75/41.97      | X1 = X0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23018]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4517,plain,
% 41.75/41.97      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 41.75/41.97      | X0 = X1 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11490_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23012,plain,
% 41.75/41.97      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 41.75/41.97      | X0 = X1 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4517]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4515,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11491_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23008,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4515]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23009,plain,
% 41.75/41.97      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.97      | c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23008]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4513,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11492_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23004,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4513]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23005,plain,
% 41.75/41.97      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.97      | c_lessequals(X1,X3,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23004]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4511,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11493_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23000,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4511]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_23001,plain,
% 41.75/41.97      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 41.75/41.97      | c_lessequals(X0,X3,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_23000]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4509,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11494_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22996,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4509]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22997,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 41.75/41.97      | c_lessequals(X0,X2,tc_set(X3)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22996]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4507,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11495_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22992,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4507]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22993,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 41.75/41.97      | c_lessequals(X0,X1,tc_set(X3)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22992]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4502,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11502_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22982,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4502]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22983,plain,
% 41.75/41.97      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22982]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4500,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11503_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22978,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4500]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22979,plain,
% 41.75/41.97      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22978]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4498,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11504_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22974,plain,
% 41.75/41.97      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4498]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22975,plain,
% 41.75/41.97      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22974]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4496,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11505_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22970,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4496]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22971,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_nat)
% 41.75/41.97      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22970]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4485,plain,
% 41.75/41.97      ( c_in(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 41.75/41.97      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11512_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22948,plain,
% 41.75/41.97      ( c_in(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 41.75/41.97      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4485]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22949,plain,
% 41.75/41.97      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 41.75/41.97      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 41.75/41.97      | c_in(X3,X1,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22948]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4483,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11513_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22944,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4483]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22945,plain,
% 41.75/41.97      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22944]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4480,plain,
% 41.75/41.97      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11514_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22938,plain,
% 41.75/41.97      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4480]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4478,plain,
% 41.75/41.97      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.97      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11515_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22934,plain,
% 41.75/41.97      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.97      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4478]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22935,plain,
% 41.75/41.97      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22934]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4475,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11516_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22928,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4475]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22929,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_less(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22928]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4472,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11517_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22922,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4472]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22923,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_less(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22922]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4469,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11518_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22916,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4469]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22917,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22916]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4466,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11519_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22910,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4466]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22911,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_less(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22910]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4463,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11520_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22904,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4463]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22905,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_less(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22904]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4460,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11521_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22898,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4460]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22899,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22898]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4457,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11522_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22892,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4457]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22893,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22892]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4454,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11523_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22886,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4454]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22887,plain,
% 41.75/41.97      ( ~ class_Orderings_Oord(X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0)
% 41.75/41.97      | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22886]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4451,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11524_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22880,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4451]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22881,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.97      | c_lessequals(X2,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22880]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4448,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11525_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22874,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4448]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22875,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.97      | c_lessequals(X1,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22874]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4445,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11526_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22868,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4445]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22869,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.97      | c_lessequals(X1,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22868]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4442,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11527_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22862,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4442]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22863,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22862]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4439,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11528_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22856,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4439]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22857,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.97      | c_less(X1,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22856]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4436,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11529_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22850,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4436]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22851,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 41.75/41.97      | c_less(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22850]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4433,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11530_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22844,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4433]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22845,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.97      | c_less(X2,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22844]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4430,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11531_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22838,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4430]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22839,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 41.75/41.97      | c_less(X1,X3,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22838]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4427,plain,
% 41.75/41.97      ( c_minus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_minus(X0,X2,tc_nat),X1)
% 41.75/41.97      | ~ c_lessequals(X2,X0,tc_nat)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11532_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22832,plain,
% 41.75/41.97      ( c_minus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_minus(X0,X2,tc_nat),X1)
% 41.75/41.97      | ~ c_lessequals(X2,X0,tc_nat)
% 41.75/41.97      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4427]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22833,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.97      | ~ c_lessequals(X1,X2,tc_nat)
% 41.75/41.97      | c_minus(c_NatArith_Oof__nat(X2,X0),c_NatArith_Oof__nat(X1,X0),X0) = c_NatArith_Oof__nat(c_minus(X2,X1,tc_nat),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22832]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4425,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11533_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22828,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4425]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4422,plain,
% 41.75/41.97      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 41.75/41.97      | c_in(X0,X2,X3)
% 41.75/41.97      | ~ c_in(X0,X1,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11534_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22822,plain,
% 41.75/41.97      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 41.75/41.97      | c_in(X0,X2,X3)
% 41.75/41.97      | ~ c_in(X0,X1,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4422]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4388,plain,
% 41.75/41.97      ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,X3,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11543_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22754,plain,
% 41.75/41.97      ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,X3,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4388]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22755,plain,
% 41.75/41.97      ( ~ c_in(X0,X1,X2)
% 41.75/41.97      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22754]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4377,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11546_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22732,plain,
% 41.75/41.97      ( c_less(X0,X1,X2)
% 41.75/41.97      | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4377]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22733,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.97      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 41.75/41.97      | c_less(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22732]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4374,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11547_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22726,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4374]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22727,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.97      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 41.75/41.97      | c_lessequals(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22726]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4372,plain,
% 41.75/41.97      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X0,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 41.75/41.97      | X1 = c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11549_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22722,plain,
% 41.75/41.97      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X0,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 41.75/41.97      | X1 = c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4372]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4370,plain,
% 41.75/41.97      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 41.75/41.97      | X0 = c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11550_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22718,plain,
% 41.75/41.97      ( c_div(c_plus(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = c_plus(c_div(X1,X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
% 41.75/41.97      | X0 = c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4370]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4364,plain,
% 41.75/41.97      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.97      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11552_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22706,plain,
% 41.75/41.97      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 41.75/41.97      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4364]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4362,plain,
% 41.75/41.97      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.97      | c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11553_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22702,plain,
% 41.75/41.97      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 41.75/41.97      | c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4362]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4359,plain,
% 41.75/41.97      ( c_lessequals(c_0,X0,X1)
% 41.75/41.97      | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11554_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22696,plain,
% 41.75/41.97      ( c_lessequals(c_0,X0,X1)
% 41.75/41.97      | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4359]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22697,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.97      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 41.75/41.97      | c_lessequals(c_0,X1,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22696]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4356,plain,
% 41.75/41.97      ( c_lessequals(X0,c_0,X1)
% 41.75/41.97      | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11555_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22690,plain,
% 41.75/41.97      ( c_lessequals(X0,c_0,X1)
% 41.75/41.97      | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4356]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22691,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.97      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 41.75/41.97      | c_lessequals(X1,c_0,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22690]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4353,plain,
% 41.75/41.97      ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11556_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22684,plain,
% 41.75/41.97      ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4353]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22685,plain,
% 41.75/41.97      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22684]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4350,plain,
% 41.75/41.97      ( X0 = X1
% 41.75/41.97      | c_List_Oop_Amem(X1,X2,X3)
% 41.75/41.97      | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11557_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22678,plain,
% 41.75/41.97      ( X0 = X1
% 41.75/41.97      | c_List_Oop_Amem(X1,X2,X3)
% 41.75/41.97      | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4350]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22679,plain,
% 41.75/41.97      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 41.75/41.97      | c_List_Oop_Amem(X0,X2,X3)
% 41.75/41.97      | X1 = X0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22678]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4343,plain,
% 41.75/41.97      ( c_inter(X0,X1,X2) = c_emptyset
% 41.75/41.97      | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11560_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22664,plain,
% 41.75/41.97      ( c_inter(X0,X1,X2) = c_emptyset
% 41.75/41.97      | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4343]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22665,plain,
% 41.75/41.97      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 41.75/41.97      | c_inter(X1,X3,X2) = c_emptyset ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22664]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4339,plain,
% 41.75/41.97      ( c_inter(X0,X1,X2) = c_emptyset
% 41.75/41.97      | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11562_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22656,plain,
% 41.75/41.97      ( c_inter(X0,X1,X2) = c_emptyset
% 41.75/41.97      | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4339]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22657,plain,
% 41.75/41.97      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 41.75/41.97      | c_inter(X0,X2,X3) = c_emptyset ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22656]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4337,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11563_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22652,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4337]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22653,plain,
% 41.75/41.97      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22652]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4335,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11564_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22648,plain,
% 41.75/41.97      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4335]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22649,plain,
% 41.75/41.97      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22648]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4333,plain,
% 41.75/41.97      ( X0 = c_0
% 41.75/41.97      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11565_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22644,plain,
% 41.75/41.97      ( X0 = c_0
% 41.75/41.97      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4333]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22645,plain,
% 41.75/41.97      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | X0 = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22644]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4330,plain,
% 41.75/41.97      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.97      | c_Numeral_Onumber__of(X0,X1) != c_1
% 41.75/41.97      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11567_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22638,plain,
% 41.75/41.97      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
% 41.75/41.97      | c_Numeral_Onumber__of(X0,X1) != c_1
% 41.75/41.97      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4330]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22639,plain,
% 41.75/41.97      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.97      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0),X0)
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22638]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4323,plain,
% 41.75/41.97      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11570_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22624,plain,
% 41.75/41.97      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4323]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22625,plain,
% 41.75/41.97      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22624]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4315,plain,
% 41.75/41.97      ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 41.75/41.97      | X1 = c_emptyset
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11573_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22608,plain,
% 41.75/41.97      ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 41.75/41.97      | X1 = c_emptyset
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4315]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22609,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.97      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 41.75/41.97      | X1 = c_emptyset ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22608]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4311,plain,
% 41.75/41.97      ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 41.75/41.97      | X1 = c_emptyset
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11574_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22600,plain,
% 41.75/41.97      ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 41.75/41.97      | X1 = c_emptyset
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4311]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22601,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 41.75/41.97      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 41.75/41.97      | X1 = c_emptyset ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22600]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4293,plain,
% 41.75/41.97      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 41.75/41.97      | ~ c_less(X3,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11580_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22564,plain,
% 41.75/41.97      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 41.75/41.97      | ~ c_less(X3,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4293]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22565,plain,
% 41.75/41.97      ( ~ c_less(X0,X1,tc_nat)
% 41.75/41.97      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22564]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4290,plain,
% 41.75/41.97      ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 41.75/41.97      | c_in(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11581_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22558,plain,
% 41.75/41.97      ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 41.75/41.97      | c_in(X0,X1,X2)
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4290]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22559,plain,
% 41.75/41.97      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | c_in(X2,X0,X1)
% 41.75/41.97      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22558]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4284,plain,
% 41.75/41.97      ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11583_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22546,plain,
% 41.75/41.97      ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4284]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22547,plain,
% 41.75/41.97      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22546]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4282,plain,
% 41.75/41.97      ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 41.75/41.97      | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11584_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22542,plain,
% 41.75/41.97      ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 41.75/41.97      | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4282]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22543,plain,
% 41.75/41.97      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 41.75/41.97      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22542]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4280,plain,
% 41.75/41.97      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 41.75/41.97      | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11585_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22538,plain,
% 41.75/41.97      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 41.75/41.97      | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4280]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22539,plain,
% 41.75/41.97      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.97      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22538]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4278,plain,
% 41.75/41.97      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11586_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22534,plain,
% 41.75/41.97      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4278]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22535,plain,
% 41.75/41.97      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22534]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4276,plain,
% 41.75/41.97      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11587_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22530,plain,
% 41.75/41.97      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4276]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22531,plain,
% 41.75/41.97      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22530]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4274,plain,
% 41.75/41.97      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11588_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22526,plain,
% 41.75/41.97      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4274]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22527,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22526]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4272,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11589_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22522,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4272]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4270,plain,
% 41.75/41.97      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11590_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22518,plain,
% 41.75/41.97      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4270]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4268,plain,
% 41.75/41.97      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11591_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22514,plain,
% 41.75/41.97      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4268]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4258,plain,
% 41.75/41.97      ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 41.75/41.97      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11594_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22494,plain,
% 41.75/41.97      ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 41.75/41.97      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4258]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22495,plain,
% 41.75/41.97      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 41.75/41.97      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22494]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4256,plain,
% 41.75/41.97      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1)
% 41.75/41.97      | ~ c_in(c_0,X2,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11595_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22490,plain,
% 41.75/41.97      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1)
% 41.75/41.97      | ~ c_in(c_0,X2,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4256]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22491,plain,
% 41.75/41.97      ( ~ c_in(c_0,X0,tc_nat)
% 41.75/41.97      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22490]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4250,plain,
% 41.75/41.97      ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11598_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22478,plain,
% 41.75/41.97      ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4250]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22479,plain,
% 41.75/41.97      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 41.75/41.97      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22478]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4248,plain,
% 41.75/41.97      ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11599_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22474,plain,
% 41.75/41.97      ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 41.75/41.97      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4248]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22475,plain,
% 41.75/41.97      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 41.75/41.97      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22474]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4240,plain,
% 41.75/41.97      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11601_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22458,plain,
% 41.75/41.97      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.97      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4240]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4238,plain,
% 41.75/41.97      ( c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1))
% 41.75/41.97      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11602_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22454,plain,
% 41.75/41.97      ( c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1))
% 41.75/41.97      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4238]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22455,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.97      | c_append(c_List_Oupt(X0,X1),c_List_Olist_OCons(X1,c_List_Olist_ONil,tc_nat),tc_nat) = c_List_Oupt(X0,c_Suc(X1)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22454]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4236,plain,
% 41.75/41.97      ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 41.75/41.97      | c_in(X1,X0,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11603_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22450,plain,
% 41.75/41.97      ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 41.75/41.97      | c_in(X1,X0,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4236]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22451,plain,
% 41.75/41.97      ( c_in(X0,X1,X2)
% 41.75/41.97      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22450]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4234,plain,
% 41.75/41.97      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11604_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22446,plain,
% 41.75/41.97      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4234]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4232,plain,
% 41.75/41.97      ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.97      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11605_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22442,plain,
% 41.75/41.97      ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.97      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4232]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22443,plain,
% 41.75/41.97      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.97      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22442]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4230,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 41.75/41.97      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11606_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22438,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 41.75/41.97      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4230]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22439,plain,
% 41.75/41.97      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22438]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4228,plain,
% 41.75/41.97      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11607_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22434,plain,
% 41.75/41.97      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.97      | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4228]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22435,plain,
% 41.75/41.97      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 41.75/41.97      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22434]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4218,plain,
% 41.75/41.97      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 41.75/41.97      | X0 = c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11610_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22414,plain,
% 41.75/41.97      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 41.75/41.97      | X0 = c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4218]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4216,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11611_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22410,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.97      | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4216]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22411,plain,
% 41.75/41.97      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 41.75/41.97      | c_lessequals(X2,X0,tc_set(X1)) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22410]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4213,plain,
% 41.75/41.97      ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11612_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22404,plain,
% 41.75/41.97      ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4213]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22405,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22404]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4210,plain,
% 41.75/41.97      ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11613_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22398,plain,
% 41.75/41.97      ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4210]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22399,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22398]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4191,plain,
% 41.75/41.97      ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X2) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.97      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11617_4) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22360,plain,
% 41.75/41.97      ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X2) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.97      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4191]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22361,plain,
% 41.75/41.97      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X0) = c_0
% 41.75/41.97      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22360]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4186,plain,
% 41.75/41.97      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.97      | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.97      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11618_4) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22350,plain,
% 41.75/41.97      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.97      | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.97      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4186]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22351,plain,
% 41.75/41.97      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_Numeral_Onumber__of(X1,X0) = c_0
% 41.75/41.97      | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22350]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4184,plain,
% 41.75/41.97      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 41.75/41.97      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11619_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22346,plain,
% 41.75/41.97      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 41.75/41.97      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4184]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4173,plain,
% 41.75/41.97      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11622_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22324,plain,
% 41.75/41.97      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4173]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4144,plain,
% 41.75/41.97      ( c_in(X0,c_Union(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X3,X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,X3,X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11630_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22266,plain,
% 41.75/41.97      ( c_in(X0,c_Union(X1,X2),X2)
% 41.75/41.97      | ~ c_in(X3,X1,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,X3,X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4144]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4142,plain,
% 41.75/41.97      ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11631_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22262,plain,
% 41.75/41.97      ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 41.75/41.97      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4142]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22263,plain,
% 41.75/41.97      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 41.75/41.97      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22262]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4137,plain,
% 41.75/41.97      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11633_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22252,plain,
% 41.75/41.97      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4137]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4135,plain,
% 41.75/41.97      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11634_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22248,plain,
% 41.75/41.97      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4135]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4133,plain,
% 41.75/41.97      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11635_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22244,plain,
% 41.75/41.97      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 41.75/41.97      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4133]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4131,plain,
% 41.75/41.97      ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 41.75/41.97      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11636_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22240,plain,
% 41.75/41.97      ( c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3)
% 41.75/41.97      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4131]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22241,plain,
% 41.75/41.97      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.75/41.97      | c_List_Odrop(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22240]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4119,plain,
% 41.75/41.97      ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.97      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11639_3) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22216,plain,
% 41.75/41.97      ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.97      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4119]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22217,plain,
% 41.75/41.97      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22216]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4097,plain,
% 41.75/41.97      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11648_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22172,plain,
% 41.75/41.97      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4097]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4095,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.97      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11649_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22168,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.97      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4095]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22169,plain,
% 41.75/41.97      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22168]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4093,plain,
% 41.75/41.97      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11650_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22164,plain,
% 41.75/41.97      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4093]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4091,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 41.75/41.97      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11651_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22160,plain,
% 41.75/41.97      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
% 41.75/41.97      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4091]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22161,plain,
% 41.75/41.97      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.97      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22160]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4088,plain,
% 41.75/41.97      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ c_less(X0,X1,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11652_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22154,plain,
% 41.75/41.97      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ c_less(X0,X1,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4088]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22155,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.97      | c_less(c_minus(X1,X2,X0),c_0,X0)
% 41.75/41.97      | ~ c_less(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22154]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4085,plain,
% 41.75/41.97      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11653_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22148,plain,
% 41.75/41.97      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 41.75/41.97      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4085]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22149,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.97      | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 41.75/41.97      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22148]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4083,plain,
% 41.75/41.97      ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11654_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22144,plain,
% 41.75/41.97      ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4083]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22145,plain,
% 41.75/41.97      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22144]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4076,plain,
% 41.75/41.97      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 41.75/41.97      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11656_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22130,plain,
% 41.75/41.97      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 41.75/41.97      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4076]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22131,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.97      | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 41.75/41.97      | ~ c_lessequals(c_0,X1,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22130]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4073,plain,
% 41.75/41.97      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.97      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11657_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22124,plain,
% 41.75/41.97      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 41.75/41.97      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.97      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4073]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22125,plain,
% 41.75/41.97      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.97      | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 41.75/41.97      | ~ c_lessequals(X1,c_0,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22124]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4071,plain,
% 41.75/41.97      ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11658_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22120,plain,
% 41.75/41.97      ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 41.75/41.97      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4071]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22121,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.97      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22120]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4069,plain,
% 41.75/41.97      ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 41.75/41.97      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11659_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22116,plain,
% 41.75/41.97      ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 41.75/41.97      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4069]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22117,plain,
% 41.75/41.97      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.97      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22116]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4063,plain,
% 41.75/41.97      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | c_in(X0,c_Inter(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11661_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22104,plain,
% 41.75/41.97      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | c_in(X0,c_Inter(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4063]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4061,plain,
% 41.75/41.97      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | c_in(X0,c_Inter(X1,X2),X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11662_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22100,plain,
% 41.75/41.97      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 41.75/41.97      | c_in(X0,c_Inter(X1,X2),X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4061]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4059,plain,
% 41.75/41.97      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11663_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22096,plain,
% 41.75/41.97      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4059]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4057,plain,
% 41.75/41.97      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11664_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22092,plain,
% 41.75/41.97      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4057]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4055,plain,
% 41.75/41.97      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11665_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22088,plain,
% 41.75/41.97      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4055]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4053,plain,
% 41.75/41.97      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 41.75/41.97      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11666_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22084,plain,
% 41.75/41.97      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 41.75/41.97      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4053]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4051,plain,
% 41.75/41.97      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 41.75/41.97      | ~ c_less(X3,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11681_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22080,plain,
% 41.75/41.97      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 41.75/41.97      | ~ c_less(X3,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4051]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22081,plain,
% 41.75/41.97      ( ~ c_less(X0,X1,tc_nat)
% 41.75/41.97      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22080]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4045,plain,
% 41.75/41.97      ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 41.75/41.97      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11686_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22068,plain,
% 41.75/41.97      ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 41.75/41.97      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4045]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22069,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.97      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22068]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4043,plain,
% 41.75/41.97      ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 41.75/41.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11687_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22064,plain,
% 41.75/41.97      ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 41.75/41.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4043]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22065,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.97      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22064]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4041,plain,
% 41.75/41.97      ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 41.75/41.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11688_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22060,plain,
% 41.75/41.97      ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 41.75/41.97      | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4041]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22061,plain,
% 41.75/41.97      ( ~ c_lessequals(X0,X1,tc_nat)
% 41.75/41.97      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22060]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4038,plain,
% 41.75/41.97      ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11689_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22054,plain,
% 41.75/41.97      ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4038]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22055,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.97      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22054]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4035,plain,
% 41.75/41.97      ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11690_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22048,plain,
% 41.75/41.97      ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.75/41.97      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4035]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22049,plain,
% 41.75/41.97      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.97      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.75/41.97      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22048]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4031,plain,
% 41.75/41.97      ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11692_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22040,plain,
% 41.75/41.97      ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4031]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22041,plain,
% 41.75/41.97      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22040]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4024,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11696_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22026,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4024]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22027,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 41.75/41.97      | c_lessequals(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22026]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4021,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11697_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22020,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4021]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22021,plain,
% 41.75/41.97      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 41.75/41.97      | c_lessequals(X2,X1,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22020]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4018,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11698_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22014,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4018]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22015,plain,
% 41.75/41.97      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 41.75/41.97      | c_lessequals(X1,X2,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22014]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4015,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11699_2) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22008,plain,
% 41.75/41.97      ( c_lessequals(X0,X1,X2)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 41.75/41.97      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4015]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22009,plain,
% 41.75/41.97      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.97      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 41.75/41.97      | c_lessequals(X2,X1,X0) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22008]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4013,plain,
% 41.75/41.97      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11700_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22004,plain,
% 41.75/41.97      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4013]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4011,plain,
% 41.75/41.97      ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11702_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22000,plain,
% 41.75/41.97      ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4011]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_22001,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_22000]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4009,plain,
% 41.75/41.97      ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11703_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_21996,plain,
% 41.75/41.97      ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4009]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_21997,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_21996]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4007,plain,
% 41.75/41.97      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 41.75/41.97      | X0 = c_List_Olist_ONil ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11704_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_21992,plain,
% 41.75/41.97      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 41.75/41.97      | X0 = c_List_Olist_ONil ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4007]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4005,plain,
% 41.75/41.97      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.97      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11705_1) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_21988,plain,
% 41.75/41.97      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 41.75/41.97      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.97      inference(copy,[status(esa)],[c_4005]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_21989,plain,
% 41.75/41.97      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.97      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 41.75/41.97      inference(rewriting,[status(thm)],[c_21988]) ).
% 41.75/41.97  
% 41.75/41.97  cnf(c_4003,plain,
% 41.75/41.97      ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11706_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21984,plain,
% 41.75/41.98      ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_4003]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21985,plain,
% 41.75/41.98      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 41.75/41.98      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21984]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_4001,plain,
% 41.75/41.98      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11707_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21980,plain,
% 41.75/41.98      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_4001]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21981,plain,
% 41.75/41.98      ( ~ c_less(c_0,X0,tc_nat)
% 41.75/41.98      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21980]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3999,plain,
% 41.75/41.98      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11708_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21976,plain,
% 41.75/41.98      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3999]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3997,plain,
% 41.75/41.98      ( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.98      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11709_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21972,plain,
% 41.75/41.98      ( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.98      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3997]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3995,plain,
% 41.75/41.98      ( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.98      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11710_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21968,plain,
% 41.75/41.98      ( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
% 41.75/41.98      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3995]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21969,plain,
% 41.75/41.98      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
% 41.75/41.98      | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21968]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3993,plain,
% 41.75/41.98      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11711_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21964,plain,
% 41.75/41.98      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3993]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3991,plain,
% 41.75/41.98      ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11712_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21960,plain,
% 41.75/41.98      ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3991]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21961,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 41.75/41.98      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21960]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3984,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 41.75/41.98      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11714_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21946,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 41.75/41.98      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3984]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21947,plain,
% 41.75/41.98      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.98      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 41.75/41.98      | X0 = X2 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21946]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3981,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 41.75/41.98      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11715_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21940,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 41.75/41.98      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3981]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21941,plain,
% 41.75/41.98      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.98      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 41.75/41.98      | X3 = X4 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21940]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3978,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 41.75/41.98      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11716_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21934,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 41.75/41.98      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3978]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21935,plain,
% 41.75/41.98      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.98      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 41.75/41.98      | X3 = X4 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21934]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3975,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 41.75/41.98      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11717_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21928,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 41.75/41.98      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3975]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21929,plain,
% 41.75/41.98      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 41.75/41.98      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 41.75/41.98      | X0 = X2 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21928]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3970,plain,
% 41.75/41.98      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11719_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21918,plain,
% 41.75/41.98      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3970]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3968,plain,
% 41.75/41.98      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11720_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21914,plain,
% 41.75/41.98      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3968]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3966,plain,
% 41.75/41.98      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11721_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21910,plain,
% 41.75/41.98      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3966]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3964,plain,
% 41.75/41.98      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11722_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21906,plain,
% 41.75/41.98      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3964]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3962,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11723_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21902,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3962]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21903,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21902]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3960,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11724_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21898,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3960]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21899,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.98      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21898]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3958,plain,
% 41.75/41.98      ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11725_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21894,plain,
% 41.75/41.98      ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3958]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21895,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.98      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21894]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3956,plain,
% 41.75/41.98      ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11726_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21890,plain,
% 41.75/41.98      ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3956]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21891,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.98      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21890]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3954,plain,
% 41.75/41.98      ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11727_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21886,plain,
% 41.75/41.98      ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3954]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21887,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.98      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21886]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3952,plain,
% 41.75/41.98      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 41.75/41.98      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11728_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21882,plain,
% 41.75/41.98      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 41.75/41.98      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3952]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3950,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11731_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21878,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3950]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3948,plain,
% 41.75/41.98      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11732_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21874,plain,
% 41.75/41.98      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3948]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3946,plain,
% 41.75/41.98      ( c_times(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1),X2,X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11733_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21870,plain,
% 41.75/41.98      ( c_times(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1),X2,X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3946]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21871,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | c_times(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0),X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21870]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3944,plain,
% 41.75/41.98      ( c_times(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_times(X0,X2,tc_nat),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11735_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21866,plain,
% 41.75/41.98      ( c_times(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_times(X0,X2,tc_nat),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3944]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21867,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.98      | c_times(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_times(X1,X2,tc_nat),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21866]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3942,plain,
% 41.75/41.98      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_plus(X0,X2,tc_nat),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11736_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21862,plain,
% 41.75/41.98      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1) = c_NatArith_Oof__nat(c_plus(X0,X2,tc_nat),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3942]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21863,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.98      | c_plus(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) = c_NatArith_Oof__nat(c_plus(X1,X2,tc_nat),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21862]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3940,plain,
% 41.75/41.98      ( c_times(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_times(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11737_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21858,plain,
% 41.75/41.98      ( c_times(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_times(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3940]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21859,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.98      | c_times(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_times(X1,X2,tc_IntDef_Oint),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21858]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3938,plain,
% 41.75/41.98      ( c_minus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_minus(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11738_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21854,plain,
% 41.75/41.98      ( c_minus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_minus(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3938]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21855,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.98      | c_minus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_minus(X1,X2,tc_IntDef_Oint),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21854]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3936,plain,
% 41.75/41.98      ( c_plus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_plus(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11739_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21850,plain,
% 41.75/41.98      ( c_plus(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1) = c_IntDef_Oof__int(c_plus(X0,X2,tc_IntDef_Oint),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3936]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21851,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.98      | c_plus(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) = c_IntDef_Oof__int(c_plus(X1,X2,tc_IntDef_Oint),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21850]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3933,plain,
% 41.75/41.98      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11740_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21844,plain,
% 41.75/41.98      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3933]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3926,plain,
% 41.75/41.98      ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11742_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21830,plain,
% 41.75/41.98      ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3926]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21831,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 41.75/41.98      | X1 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21830]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3922,plain,
% 41.75/41.98      ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11743_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21822,plain,
% 41.75/41.98      ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3922]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21823,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 41.75/41.98      | X1 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21822]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3919,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11744_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21816,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3919]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21817,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.98      | c_less(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21816]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3916,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11745_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21810,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3916]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21811,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.98      | c_lessequals(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21810]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3914,plain,
% 41.75/41.98      ( c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11747_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21806,plain,
% 41.75/41.98      ( c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 41.75/41.98      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3914]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21807,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Nat_Opower(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21806]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3907,plain,
% 41.75/41.98      ( c_less(X0,X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11749_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21792,plain,
% 41.75/41.98      ( c_less(X0,X1,tc_nat)
% 41.75/41.98      | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3907]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21793,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.98      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 41.75/41.98      | c_less(X1,X2,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21792]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3904,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.98      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11750_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21786,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.98      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3904]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21787,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.98      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 41.75/41.98      | c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21786]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3901,plain,
% 41.75/41.98      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11751_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21780,plain,
% 41.75/41.98      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3901]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21781,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 41.75/41.98      | c_less(X1,X2,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21780]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3898,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11752_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21774,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3898]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21775,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 41.75/41.98      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21774]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3888,plain,
% 41.75/41.98      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.98      | c_Numeral_Onumber__of(X0,X1) != c_1
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11759_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21754,plain,
% 41.75/41.98      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.98      | c_Numeral_Onumber__of(X0,X1) != c_1
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3888]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21755,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0),X0)
% 41.75/41.98      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21754]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3878,plain,
% 41.75/41.98      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11764_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21734,plain,
% 41.75/41.98      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3878]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3876,plain,
% 41.75/41.98      ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11765_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21730,plain,
% 41.75/41.98      ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3876]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21731,plain,
% 41.75/41.98      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.98      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21730]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3874,plain,
% 41.75/41.98      ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11766_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21726,plain,
% 41.75/41.98      ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3874]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21727,plain,
% 41.75/41.98      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.98      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21726]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3872,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.98      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11767_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21722,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.98      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3872]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3870,plain,
% 41.75/41.98      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 41.75/41.98      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11771_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21718,plain,
% 41.75/41.98      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 41.75/41.98      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3870]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3863,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11774_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21704,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3863]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21705,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 41.75/41.98      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21704]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3855,plain,
% 41.75/41.98      ( c_minus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11779_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21688,plain,
% 41.75/41.98      ( c_minus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3855]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21689,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | c_minus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21688]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3851,plain,
% 41.75/41.98      ( c_less(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ class_HOL_Oone(X0) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11780_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21680,plain,
% 41.75/41.98      ( c_less(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ class_HOL_Oone(X0) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3851]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21681,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_less(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21680]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3847,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ class_HOL_Oone(X0) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11781_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21672,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ class_HOL_Oone(X0) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3847]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21673,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21672]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3843,plain,
% 41.75/41.98      ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11782_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21664,plain,
% 41.75/41.98      ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3843]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21665,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21664]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3839,plain,
% 41.75/41.98      ( c_less(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11783_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21656,plain,
% 41.75/41.98      ( c_less(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3839]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21657,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 41.75/41.98      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21656]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3835,plain,
% 41.75/41.98      ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11784_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21648,plain,
% 41.75/41.98      ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3835]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21649,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 41.75/41.98      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21648]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3813,plain,
% 41.75/41.98      ( c_less(c_uminus(X0,X1),c_1,X1)
% 41.75/41.98      | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11791_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21604,plain,
% 41.75/41.98      ( c_less(c_uminus(X0,X1),c_1,X1)
% 41.75/41.98      | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3813]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21605,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21604]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3809,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 41.75/41.98      | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11792_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21596,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 41.75/41.98      | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3809]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21597,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 41.75/41.98      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21596]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3805,plain,
% 41.75/41.98      ( c_less(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11793_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21588,plain,
% 41.75/41.98      ( c_less(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3805]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21589,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_less(c_1,c_uminus(X1,X0),X0)
% 41.75/41.98      | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21588]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3801,plain,
% 41.75/41.98      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11794_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21580,plain,
% 41.75/41.98      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 41.75/41.98      | ~ class_HOL_Oone(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3801]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21581,plain,
% 41.75/41.98      ( ~ class_HOL_Oone(X0)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21580]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3798,plain,
% 41.75/41.98      ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11800_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21574,plain,
% 41.75/41.98      ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3798]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21575,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21574]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3796,plain,
% 41.75/41.98      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.98      | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11806_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21570,plain,
% 41.75/41.98      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.98      | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3796]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21571,plain,
% 41.75/41.98      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 41.75/41.98      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21570]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3790,plain,
% 41.75/41.98      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 41.75/41.98      | c_in(c_0,X2,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11810_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21558,plain,
% 41.75/41.98      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 41.75/41.98      | c_in(c_0,X2,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3790]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21559,plain,
% 41.75/41.98      ( c_in(c_0,X0,tc_nat)
% 41.75/41.98      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21558]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3789,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11817_0) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21556,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3789]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3787,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11817_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21552,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3787]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21553,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21552]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3786,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11818_0) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21550,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3786]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3784,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11818_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21546,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3784]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21547,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21546]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3782,plain,
% 41.75/41.98      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11819_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21542,plain,
% 41.75/41.98      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3782]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21543,plain,
% 41.75/41.98      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X0),tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21542]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3775,plain,
% 41.75/41.98      ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oring(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11821_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21528,plain,
% 41.75/41.98      ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Oring(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3775]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21529,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oring(X0)
% 41.75/41.98      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21528]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3773,plain,
% 41.75/41.98      ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11822_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21524,plain,
% 41.75/41.98      ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3773]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21525,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oring(X0)
% 41.75/41.98      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21524]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3771,plain,
% 41.75/41.98      ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11823_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21520,plain,
% 41.75/41.98      ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3771]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21521,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21520]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3769,plain,
% 41.75/41.98      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0
% 41.75/41.98      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11824_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21516,plain,
% 41.75/41.98      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0
% 41.75/41.98      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3769]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21517,plain,
% 41.75/41.98      ( ~ class_Power_Orecpower(X0)
% 41.75/41.98      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21516]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3767,plain,
% 41.75/41.98      ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1
% 41.75/41.98      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11825_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21512,plain,
% 41.75/41.98      ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1
% 41.75/41.98      | ~ class_Power_Orecpower(X0) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3767]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21513,plain,
% 41.75/41.98      ( ~ class_Power_Orecpower(X0)
% 41.75/41.98      | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X0) = c_1 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21512]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3760,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11827_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21498,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3760]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21499,plain,
% 41.75/41.98      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.98      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21498]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3757,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11828_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21492,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3757]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21493,plain,
% 41.75/41.98      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.98      | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 41.75/41.98      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21492]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3754,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11829_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21486,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3754]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21487,plain,
% 41.75/41.98      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.98      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21486]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3751,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11830_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21480,plain,
% 41.75/41.98      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3751]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21481,plain,
% 41.75/41.98      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.98      | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 41.75/41.98      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21480]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3749,plain,
% 41.75/41.98      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 41.75/41.98      | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11831_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21476,plain,
% 41.75/41.98      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 41.75/41.98      | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3749]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21477,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.75/41.98      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21476]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3747,plain,
% 41.75/41.98      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 41.75/41.98      | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11832_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21472,plain,
% 41.75/41.98      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 41.75/41.98      | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3747]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21473,plain,
% 41.75/41.98      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 41.75/41.98      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21472]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3745,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1)
% 41.75/41.98      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11833_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21468,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1)
% 41.75/41.98      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3745]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21469,plain,
% 41.75/41.98      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 41.75/41.98      | c_List_Odistinct(X1,X2) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21468]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3743,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11834_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21464,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3743]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21465,plain,
% 41.75/41.98      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21464]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3741,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11835_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21460,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3741]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21461,plain,
% 41.75/41.98      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21460]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3739,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1)
% 41.75/41.98      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11836_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21456,plain,
% 41.75/41.98      ( c_List_Odistinct(X0,X1)
% 41.75/41.98      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3739]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21457,plain,
% 41.75/41.98      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.98      | c_List_Odistinct(X1,X2) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21456]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3737,plain,
% 41.75/41.98      ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 41.75/41.98      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11837_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21452,plain,
% 41.75/41.98      ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 41.75/41.98      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3737]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21453,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.75/41.98      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21452]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3731,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11839_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21440,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3731]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21441,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21440]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3728,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11840_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21434,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3728]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21435,plain,
% 41.75/41.98      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21434]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3725,plain,
% 41.75/41.98      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 41.75/41.98      | X0 = c_List_Olist_ONil ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11841_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21428,plain,
% 41.75/41.98      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 41.75/41.98      | X0 = c_List_Olist_ONil ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3725]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3723,plain,
% 41.75/41.98      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.98      | X1 = c_List_Olist_ONil ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11842_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21424,plain,
% 41.75/41.98      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 41.75/41.98      | X1 = c_List_Olist_ONil ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3723]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3721,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11843_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21420,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3721]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21421,plain,
% 41.75/41.98      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | X0 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21420]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3718,plain,
% 41.75/41.98      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11846_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21414,plain,
% 41.75/41.98      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3718]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21415,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.98      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21414]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3715,plain,
% 41.75/41.98      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11847_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21408,plain,
% 41.75/41.98      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3715]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21409,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.98      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21408]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3712,plain,
% 41.75/41.98      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X2,X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11848_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21402,plain,
% 41.75/41.98      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X2,X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3712]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21403,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.98      | ~ c_less(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21402]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3709,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11849_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21396,plain,
% 41.75/41.98      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X2,X0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3709]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21397,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21396]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3703,plain,
% 41.75/41.98      ( c_List_Otake(X0,X1,X2) = X1
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11851_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21384,plain,
% 41.75/41.98      ( c_List_Otake(X0,X1,X2) = X1
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3703]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21385,plain,
% 41.75/41.98      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 41.75/41.98      | c_List_Otake(X2,X0,X1) = X0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21384]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3701,plain,
% 41.75/41.98      ( c_List_Orotate(X0,X1,X2) = X1
% 41.75/41.98      | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11852_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21380,plain,
% 41.75/41.98      ( c_List_Orotate(X0,X1,X2) = X1
% 41.75/41.98      | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3701]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21381,plain,
% 41.75/41.98      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 41.75/41.98      | c_List_Orotate(X0,X1,X2) = X1 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21380]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3699,plain,
% 41.75/41.98      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11853_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21376,plain,
% 41.75/41.98      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3699]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21377,plain,
% 41.75/41.98      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 41.75/41.98      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21376]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3692,plain,
% 41.75/41.98      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X0,X2,tc_nat)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11856_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21362,plain,
% 41.75/41.98      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X0,X2,tc_nat)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3692]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21363,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.98      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 41.75/41.98      | ~ c_less(X1,X2,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21362]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3689,plain,
% 41.75/41.98      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,tc_nat)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11857_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21356,plain,
% 41.75/41.98      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,tc_nat)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3689]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21357,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.98      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21356]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3686,plain,
% 41.75/41.98      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11858_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21350,plain,
% 41.75/41.98      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 41.75/41.98      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3686]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21351,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 41.75/41.98      | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21350]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3683,plain,
% 41.75/41.98      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11859_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21344,plain,
% 41.75/41.98      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 41.75/41.98      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3683]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21345,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21344]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3677,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11861_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21332,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3677]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3675,plain,
% 41.75/41.98      ( c_List_Orotate(X0,X1,X2) = X1
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11862_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21328,plain,
% 41.75/41.98      ( c_List_Orotate(X0,X1,X2) = X1
% 41.75/41.98      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3675]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21329,plain,
% 41.75/41.98      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 41.75/41.98      | c_List_Orotate(X2,X0,X1) = X0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21328]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3671,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11865_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21320,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3671]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21321,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21320]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3669,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11866_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21316,plain,
% 41.75/41.98      ( c_Parity_Oeven(X0,tc_nat)
% 41.75/41.98      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3669]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21317,plain,
% 41.75/41.98      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 41.75/41.98      | c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21316]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3666,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11867_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21310,plain,
% 41.75/41.98      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3666]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21311,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 41.75/41.98      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21310]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3656,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.98      | X1 = X0
% 41.75/41.98      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11870_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21290,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.98      | X1 = X0
% 41.75/41.98      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3656]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21291,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.98      | ~ c_lessequals(X1,X0,tc_set(X2))
% 41.75/41.98      | X1 = X0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21290]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3637,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11875_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21252,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3637]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3635,plain,
% 41.75/41.98      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 41.75/41.98      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11876_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21248,plain,
% 41.75/41.98      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 41.75/41.98      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3635]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3628,plain,
% 41.75/41.98      ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11879_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21234,plain,
% 41.75/41.98      ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3628]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21235,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21234]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3623,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11880_4) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21224,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3623]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21225,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 41.75/41.98      | X2 = c_0
% 41.75/41.98      | X1 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21224]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3618,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11881_4) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21214,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3618]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21215,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | X2 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21214]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3615,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11882_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21208,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3615]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21209,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | c_less(X1,X2,X0)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21208]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3612,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11883_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21202,plain,
% 41.75/41.98      ( c_less(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3612]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21203,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | c_less(X1,X2,X0)
% 41.75/41.98      | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21202]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3609,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11884_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21196,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3609]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21197,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | c_lessequals(X1,X2,X0)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21196]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3606,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11885_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21190,plain,
% 41.75/41.98      ( c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3606]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21191,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | c_lessequals(X1,X2,X0)
% 41.75/41.98      | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21190]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3600,plain,
% 41.75/41.98      ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11887_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21178,plain,
% 41.75/41.98      ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3600]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21179,plain,
% 41.75/41.98      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.98      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21178]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3594,plain,
% 41.75/41.98      ( c_less(c_0,X0,X1)
% 41.75/41.98      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11889_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21166,plain,
% 41.75/41.98      ( c_less(c_0,X0,X1)
% 41.75/41.98      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3594]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21167,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_less(c_0,X1,X0)
% 41.75/41.98      | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21166]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3591,plain,
% 41.75/41.98      ( c_lessequals(c_0,X0,X1)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11890_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21160,plain,
% 41.75/41.98      ( c_lessequals(c_0,X0,X1)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3591]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21161,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | c_lessequals(c_0,X1,X0)
% 41.75/41.98      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21160]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3588,plain,
% 41.75/41.98      ( c_less(X0,c_0,X1)
% 41.75/41.98      | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11891_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21154,plain,
% 41.75/41.98      ( c_less(X0,c_0,X1)
% 41.75/41.98      | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3588]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21155,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 41.75/41.98      | c_less(X1,c_0,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21154]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3585,plain,
% 41.75/41.98      ( c_lessequals(X0,c_0,X1)
% 41.75/41.98      | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11892_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21148,plain,
% 41.75/41.98      ( c_lessequals(X0,c_0,X1)
% 41.75/41.98      | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 41.75/41.98      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3585]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21149,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.98      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 41.75/41.98      | c_lessequals(X1,c_0,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21148]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3582,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11895_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21142,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_nat)
% 41.75/41.98      | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3582]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21143,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.98      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 41.75/41.98      | c_less(c_0,X1,tc_nat) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21142]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3579,plain,
% 41.75/41.98      ( c_less(X0,c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11896_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21136,plain,
% 41.75/41.98      ( c_less(X0,c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3579]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21137,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 41.75/41.98      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21136]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3576,plain,
% 41.75/41.98      ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11897_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21130,plain,
% 41.75/41.98      ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3576]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21131,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 41.75/41.98      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21130]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3573,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11898_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21124,plain,
% 41.75/41.98      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3573]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21125,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 41.75/41.98      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21124]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3570,plain,
% 41.75/41.98      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11899_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21118,plain,
% 41.75/41.98      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.75/41.98      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3570]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21119,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.98      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 41.75/41.98      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21118]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3560,plain,
% 41.75/41.98      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11902_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21098,plain,
% 41.75/41.98      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3560]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21099,plain,
% 41.75/41.98      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21098]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3558,plain,
% 41.75/41.98      ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 41.75/41.98      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11903_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21094,plain,
% 41.75/41.98      ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 41.75/41.98      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3558]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21095,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.98      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21094]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3554,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11904_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21086,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3554]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21087,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 41.75/41.98      | X2 = c_0
% 41.75/41.98      | X1 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21086]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3550,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11905_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21078,plain,
% 41.75/41.98      ( X0 = c_0
% 41.75/41.98      | X1 = X2
% 41.75/41.98      | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3550]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21079,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | X2 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21078]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3547,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 41.75/41.98      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11908_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21072,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 41.75/41.98      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3547]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21073,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.75/41.98      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 41.75/41.98      | X1 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21072]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3544,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 41.75/41.98      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11909_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21066,plain,
% 41.75/41.98      ( X0 = X1
% 41.75/41.98      | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 41.75/41.98      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3544]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21067,plain,
% 41.75/41.98      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.75/41.98      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 41.75/41.98      | X2 = X3 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21066]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3538,plain,
% 41.75/41.98      ( X0 = c_List_Olist_ONil
% 41.75/41.98      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 41.75/41.98      | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11911_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21054,plain,
% 41.75/41.98      ( X0 = c_List_Olist_ONil
% 41.75/41.98      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 41.75/41.98      | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3538]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21055,plain,
% 41.75/41.98      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 41.75/41.98      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 41.75/41.98      | X0 = c_List_Olist_ONil ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21054]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3534,plain,
% 41.75/41.98      ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11912_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21046,plain,
% 41.75/41.98      ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3534]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21047,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 41.75/41.98      | X1 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21046]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3530,plain,
% 41.75/41.98      ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11913_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21038,plain,
% 41.75/41.98      ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3530]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21039,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 41.75/41.98      | X2 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21038]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3526,plain,
% 41.75/41.98      ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11914_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21030,plain,
% 41.75/41.98      ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 41.75/41.98      | X1 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3526]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21031,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 41.75/41.98      | X2 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21030]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3522,plain,
% 41.75/41.98      ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11915_3) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21022,plain,
% 41.75/41.98      ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 41.75/41.98      | X0 = c_0
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3522]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21023,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 41.75/41.98      | X1 = c_0 ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21022]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3520,plain,
% 41.75/41.98      ( c_minus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11916_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21018,plain,
% 41.75/41.98      ( c_minus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X0)),X1)
% 41.75/41.98      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3520]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21019,plain,
% 41.75/41.98      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.98      | c_minus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X1)),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_21018]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3518,plain,
% 41.75/41.98      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 41.75/41.98      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11917_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_21014,plain,
% 41.75/41.98      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 41.75/41.98      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3518]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3500,plain,
% 41.75/41.98      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 41.75/41.98      | X0 = c_0 ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11924_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20978,plain,
% 41.75/41.98      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 41.75/41.98      | X0 = c_0 ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3500]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3497,plain,
% 41.75/41.98      ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11926_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20972,plain,
% 41.75/41.98      ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.98      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3497]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20973,plain,
% 41.75/41.98      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.98      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.98      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_20972]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3494,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 41.75/41.98      | ~ c_less(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11928_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20966,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 41.75/41.98      | ~ c_less(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3494]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20967,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | ~ c_less(X1,X2,X0)
% 41.75/41.98      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_20966]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3491,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 41.75/41.98      | ~ c_less(X1,X0,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11929_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20960,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 41.75/41.98      | ~ c_less(X1,X0,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3491]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20961,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | ~ c_less(X1,X2,X0)
% 41.75/41.98      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_20960]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3488,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 41.75/41.98      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11930_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20954,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 41.75/41.98      | ~ c_lessequals(X0,X1,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3488]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20955,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.98      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_20954]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3485,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 41.75/41.98      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11931_2) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20948,plain,
% 41.75/41.98      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 41.75/41.98      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.98      | ~ class_Orderings_Oord(X2) ),
% 41.75/41.98      inference(copy,[status(esa)],[c_3485]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20949,plain,
% 41.75/41.98      ( ~ class_Orderings_Oord(X0)
% 41.75/41.98      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.98      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 41.75/41.98      inference(rewriting,[status(thm)],[c_20948]) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_3483,plain,
% 41.75/41.98      ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 41.75/41.98      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.98      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11933_1) ).
% 41.75/41.98  
% 41.75/41.98  cnf(c_20944,plain,
% 41.75/41.99      ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 41.75/41.99      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3483]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20945,plain,
% 41.75/41.99      ( ~ c_less(X0,X1,tc_nat)
% 41.75/41.99      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20944]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3481,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11934_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20940,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3481]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20941,plain,
% 41.75/41.99      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20940]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3479,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11935_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20936,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3479]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20937,plain,
% 41.75/41.99      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20936]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3477,plain,
% 41.75/41.99      ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11936_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20932,plain,
% 41.75/41.99      ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3477]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20933,plain,
% 41.75/41.99      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20932]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3475,plain,
% 41.75/41.99      ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11937_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20928,plain,
% 41.75/41.99      ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3475]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20929,plain,
% 41.75/41.99      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20928]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3469,plain,
% 41.75/41.99      ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11939_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20916,plain,
% 41.75/41.99      ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3469]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20917,plain,
% 41.75/41.99      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20916]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3467,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11940_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20912,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3467]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20913,plain,
% 41.75/41.99      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 41.75/41.99      | X1 = X4 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20912]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3465,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11941_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20908,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3465]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20909,plain,
% 41.75/41.99      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20908]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3463,plain,
% 41.75/41.99      ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11942_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20904,plain,
% 41.75/41.99      ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3463]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20905,plain,
% 41.75/41.99      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20904]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3461,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11943_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20900,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3461]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20901,plain,
% 41.75/41.99      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20900]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3459,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11944_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20896,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3459]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20897,plain,
% 41.75/41.99      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20896]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3457,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11945_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20892,plain,
% 41.75/41.99      ( X0 = X1
% 41.75/41.99      | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3457]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20893,plain,
% 41.75/41.99      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 41.75/41.99      | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20892]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3455,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11946_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20888,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3455]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20889,plain,
% 41.75/41.99      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 41.75/41.99      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20888]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3453,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11947_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20884,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3453]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20885,plain,
% 41.75/41.99      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20884]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3451,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11950_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20880,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3451]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20881,plain,
% 41.75/41.99      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X1),tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20880]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3448,plain,
% 41.75/41.99      ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11952_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20874,plain,
% 41.75/41.99      ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3448]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20875,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20874]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3445,plain,
% 41.75/41.99      ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11953_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20868,plain,
% 41.75/41.99      ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3445]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20869,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20868]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3442,plain,
% 41.75/41.99      ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11954_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20862,plain,
% 41.75/41.99      ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3442]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20863,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20862]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3439,plain,
% 41.75/41.99      ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11955_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20856,plain,
% 41.75/41.99      ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3439]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20857,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20856]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3436,plain,
% 41.75/41.99      ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11956_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20850,plain,
% 41.75/41.99      ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3436]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20851,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20850]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3433,plain,
% 41.75/41.99      ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11957_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20844,plain,
% 41.75/41.99      ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3433]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20845,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20844]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3431,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11964_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20840,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3431]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20841,plain,
% 41.75/41.99      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20840]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3429,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11965_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20836,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3429]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20837,plain,
% 41.75/41.99      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20836]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3426,plain,
% 41.75/41.99      ( c_less(c_uminus(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_less(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11968_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20830,plain,
% 41.75/41.99      ( c_less(c_uminus(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_less(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3426]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20831,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.99      | ~ c_less(c_0,X1,X0)
% 41.75/41.99      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20830]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3423,plain,
% 41.75/41.99      ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11969_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20824,plain,
% 41.75/41.99      ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3423]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20825,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.99      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.99      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20824]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3420,plain,
% 41.75/41.99      ( c_less(c_0,c_uminus(X0,X1),X1)
% 41.75/41.99      | ~ c_less(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11970_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20818,plain,
% 41.75/41.99      ( c_less(c_0,c_uminus(X0,X1),X1)
% 41.75/41.99      | ~ c_less(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3420]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20819,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.99      | c_less(c_0,c_uminus(X1,X0),X0)
% 41.75/41.99      | ~ c_less(X1,c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20818]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3417,plain,
% 41.75/41.99      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11971_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20812,plain,
% 41.75/41.99      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3417]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20813,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.75/41.99      | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 41.75/41.99      | ~ c_lessequals(X1,c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20812]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3414,plain,
% 41.75/41.99      ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11972_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20806,plain,
% 41.75/41.99      ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3414]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20807,plain,
% 41.75/41.99      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20806]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3411,plain,
% 41.75/41.99      ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11973_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20800,plain,
% 41.75/41.99      ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3411]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20801,plain,
% 41.75/41.99      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20800]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3408,plain,
% 41.75/41.99      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 41.75/41.99      | ~ c_in(X0,c_IntDef_OInts,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11974_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20794,plain,
% 41.75/41.99      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 41.75/41.99      | ~ c_in(X0,c_IntDef_OInts,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3408]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20795,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.75/41.99      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 41.75/41.99      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20794]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3398,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11979_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20774,plain,
% 41.75/41.99      ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3398]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20775,plain,
% 41.75/41.99      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20774]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3396,plain,
% 41.75/41.99      ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11980_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20770,plain,
% 41.75/41.99      ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3396]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20771,plain,
% 41.75/41.99      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20770]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3394,plain,
% 41.75/41.99      ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11981_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20766,plain,
% 41.75/41.99      ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3394]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20767,plain,
% 41.75/41.99      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20766]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3391,plain,
% 41.75/41.99      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11982_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20760,plain,
% 41.75/41.99      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3391]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20761,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 41.75/41.99      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20760]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3389,plain,
% 41.75/41.99      ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11983_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20756,plain,
% 41.75/41.99      ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3389]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20757,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oring(X0)
% 41.75/41.99      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20756]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3386,plain,
% 41.75/41.99      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11984_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20750,plain,
% 41.75/41.99      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_nat)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3386]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20751,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.99      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 41.75/41.99      | ~ c_less(c_0,X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20750]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3383,plain,
% 41.75/41.99      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11985_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20744,plain,
% 41.75/41.99      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3383]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20745,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.99      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 41.75/41.99      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20744]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3380,plain,
% 41.75/41.99      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11986_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20738,plain,
% 41.75/41.99      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3380]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20739,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.99      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 41.75/41.99      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20738]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3377,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11987_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20732,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3377]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20733,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.99      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 41.75/41.99      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20732]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3374,plain,
% 41.75/41.99      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.99      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11988_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20726,plain,
% 41.75/41.99      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 41.75/41.99      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3374]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20727,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.75/41.99      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 41.75/41.99      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20726]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3372,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11989_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20722,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3372]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20723,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_plus(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20722]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3369,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11990_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20716,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3369]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3365,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11991_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20708,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3365]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3362,plain,
% 41.75/41.99      ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 41.75/41.99      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11992_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20702,plain,
% 41.75/41.99      ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 41.75/41.99      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3362]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20703,plain,
% 41.75/41.99      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 41.75/41.99      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20702]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3360,plain,
% 41.75/41.99      ( c_minus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11995_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20698,plain,
% 41.75/41.99      ( c_minus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3360]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20699,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_minus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20698]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3358,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11996_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20694,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3358]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20695,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_plus(c_Numeral_Onumber__of(X1,X0),c_1,X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20694]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3356,plain,
% 41.75/41.99      ( c_plus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11997_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20690,plain,
% 41.75/41.99      ( c_plus(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3356]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20691,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_plus(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20690]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3354,plain,
% 41.75/41.99      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11998_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20686,plain,
% 41.75/41.99      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3354]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20687,plain,
% 41.75/41.99      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.99      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20686]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3348,plain,
% 41.75/41.99      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 41.75/41.99      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12000_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20674,plain,
% 41.75/41.99      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 41.75/41.99      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3348]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20675,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 41.75/41.99      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20674]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3346,plain,
% 41.75/41.99      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 41.75/41.99      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12001_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20670,plain,
% 41.75/41.99      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 41.75/41.99      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3346]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20671,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 41.75/41.99      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20670]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3344,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12015_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20666,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3344]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3342,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12016_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20662,plain,
% 41.75/41.99      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3342]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3340,plain,
% 41.75/41.99      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 41.75/41.99      | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12017_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20658,plain,
% 41.75/41.99      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 41.75/41.99      | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3340]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20659,plain,
% 41.75/41.99      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 41.75/41.99      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20658]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3338,plain,
% 41.75/41.99      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 41.75/41.99      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12018_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20654,plain,
% 41.75/41.99      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 41.75/41.99      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3338]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20655,plain,
% 41.75/41.99      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 41.75/41.99      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20654]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3336,plain,
% 41.75/41.99      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 41.75/41.99      | X0 = c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12019_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20650,plain,
% 41.75/41.99      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 41.75/41.99      | X0 = c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3336]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3334,plain,
% 41.75/41.99      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12020_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20646,plain,
% 41.75/41.99      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3334]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3331,plain,
% 41.75/41.99      ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12021_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20640,plain,
% 41.75/41.99      ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3331]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20641,plain,
% 41.75/41.99      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20640]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3328,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12023_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20634,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3328]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3325,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12024_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20628,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3325]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3322,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12025_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20622,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3322]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3320,plain,
% 41.75/41.99      ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12030_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20618,plain,
% 41.75/41.99      ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3320]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20619,plain,
% 41.75/41.99      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20618]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3318,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12039_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20614,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3318]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3316,plain,
% 41.75/41.99      ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12040_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20610,plain,
% 41.75/41.99      ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3316]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20611,plain,
% 41.75/41.99      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.99      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20610]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3314,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.99      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12041_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20606,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_set(X2))
% 41.75/41.99      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3314]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3312,plain,
% 41.75/41.99      ( c_List_Orotate1(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12042_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20602,plain,
% 41.75/41.99      ( c_List_Orotate1(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3312]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20603,plain,
% 41.75/41.99      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 41.75/41.99      | c_List_Orotate1(X0,X1) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20602]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3310,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12043_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20598,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3310]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20599,plain,
% 41.75/41.99      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20598]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3308,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12044_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20594,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3308]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20595,plain,
% 41.75/41.99      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 41.75/41.99      | c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20594]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3306,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12045_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20590,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3306]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20591,plain,
% 41.75/41.99      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 41.75/41.99      | c_less(X0,X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20590]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3304,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12046_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20586,plain,
% 41.75/41.99      ( c_less(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3304]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20587,plain,
% 41.75/41.99      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20586]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3302,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12047_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20582,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat)
% 41.75/41.99      | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3302]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20583,plain,
% 41.75/41.99      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20582]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3300,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12048_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20578,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3300]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20579,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20578]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3298,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12049_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20574,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3298]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20575,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20574]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3296,plain,
% 41.75/41.99      ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12050_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20570,plain,
% 41.75/41.99      ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3296]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20571,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20570]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3294,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12051_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20566,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3294]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3292,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12052_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20562,plain,
% 41.75/41.99      ( c_times(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X0,X2),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3292]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20563,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_times(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20562]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3290,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12053_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20558,plain,
% 41.75/41.99      ( c_plus(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,X2),X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3290]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20559,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_plus(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,X2),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20558]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3284,plain,
% 41.75/41.99      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12058_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20546,plain,
% 41.75/41.99      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3284]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3277,plain,
% 41.75/41.99      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12061_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20532,plain,
% 41.75/41.99      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3277]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3275,plain,
% 41.75/41.99      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12062_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20528,plain,
% 41.75/41.99      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3275]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3273,plain,
% 41.75/41.99      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12063_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20524,plain,
% 41.75/41.99      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3273]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3271,plain,
% 41.75/41.99      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12064_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20520,plain,
% 41.75/41.99      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3271]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3264,plain,
% 41.75/41.99      ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12067_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20506,plain,
% 41.75/41.99      ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3264]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20507,plain,
% 41.75/41.99      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.99      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.99      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20506]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3261,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12068_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20500,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_lessequals(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3261]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20501,plain,
% 41.75/41.99      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.99      | ~ c_lessequals(X1,X2,X0)
% 41.75/41.99      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20500]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3258,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_less(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12069_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20494,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 41.75/41.99      | ~ c_less(X1,X0,X2)
% 41.75/41.99      | ~ class_Orderings_Oorder(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3258]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20495,plain,
% 41.75/41.99      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.99      | ~ c_less(X1,X2,X0)
% 41.75/41.99      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20494]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3256,plain,
% 41.75/41.99      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12070_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20490,plain,
% 41.75/41.99      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3256]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3250,plain,
% 41.75/41.99      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 41.75/41.99      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12075_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20478,plain,
% 41.75/41.99      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 41.75/41.99      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3250]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3248,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12076_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20474,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3248]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3246,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X0,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12077_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20470,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X0,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3246]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3244,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12078_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20466,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3244]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3242,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12079_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20462,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3242]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3240,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12080_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20458,plain,
% 41.75/41.99      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 41.75/41.99      | ~ c_List_Odistinct(X1,X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3240]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3236,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12083_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20450,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3236]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20451,plain,
% 41.75/41.99      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 41.75/41.99      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20450]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3234,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_nat)
% 41.75/41.99      | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12084_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20446,plain,
% 41.75/41.99      ( c_less(c_0,X0,tc_nat)
% 41.75/41.99      | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3234]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20447,plain,
% 41.75/41.99      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 41.75/41.99      | c_less(c_0,X0,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20446]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3231,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12085_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20440,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3231]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3228,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_nat)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12086_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20434,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_nat)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3228]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3225,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12087_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20428,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3225]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3223,plain,
% 41.75/41.99      ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 41.75/41.99      | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12088_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20424,plain,
% 41.75/41.99      ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 41.75/41.99      | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3223]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20425,plain,
% 41.75/41.99      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 41.75/41.99      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20424]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3221,plain,
% 41.75/41.99      ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 41.75/41.99      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12089_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20420,plain,
% 41.75/41.99      ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 41.75/41.99      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3221]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20421,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.75/41.99      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20420]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3218,plain,
% 41.75/41.99      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,X1) != c_0
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12090_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20414,plain,
% 41.75/41.99      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,X1) != c_0
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3218]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20415,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 41.75/41.99      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20414]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3216,plain,
% 41.75/41.99      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12091_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20410,plain,
% 41.75/41.99      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3216]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20411,plain,
% 41.75/41.99      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 41.75/41.99      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20410]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3214,plain,
% 41.75/41.99      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12092_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20406,plain,
% 41.75/41.99      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3214]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20407,plain,
% 41.75/41.99      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 41.75/41.99      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20406]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3212,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12093_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20402,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3212]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3210,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12094_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20398,plain,
% 41.75/41.99      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3210]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3204,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12096_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20386,plain,
% 41.75/41.99      ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3204]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20387,plain,
% 41.75/41.99      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20386]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3197,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12099_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20372,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3197]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20373,plain,
% 41.75/41.99      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20372]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3194,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12100_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20366,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3194]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20367,plain,
% 41.75/41.99      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 41.75/41.99      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20366]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3192,plain,
% 41.75/41.99      ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12101_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20362,plain,
% 41.75/41.99      ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3192]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20363,plain,
% 41.75/41.99      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20362]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3190,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12102_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20358,plain,
% 41.75/41.99      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3190]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3188,plain,
% 41.75/41.99      ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12103_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20354,plain,
% 41.75/41.99      ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3188]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20355,plain,
% 41.75/41.99      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20354]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3186,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12104_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20350,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3186]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3184,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12105_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20346,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3184]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3182,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12106_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20342,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3182]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3180,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12107_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20338,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 41.75/41.99      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3180]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3178,plain,
% 41.75/41.99      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.99      | X1 = c_List_Olist_ONil ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12109_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20334,plain,
% 41.75/41.99      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.99      | X1 = c_List_Olist_ONil ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3178]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3176,plain,
% 41.75/41.99      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.99      | X1 = c_List_Olist_ONil ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12110_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20330,plain,
% 41.75/41.99      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 41.75/41.99      | X1 = c_List_Olist_ONil ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3176]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3174,plain,
% 41.75/41.99      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12111_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20326,plain,
% 41.75/41.99      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3174]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3171,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12112_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20320,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3171]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20321,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20320]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3168,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12113_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20314,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3168]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20315,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20314]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3166,plain,
% 41.75/41.99      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12116_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20310,plain,
% 41.75/41.99      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3166]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20311,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X0) = c_plus(c_1,c_1,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20310]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3164,plain,
% 41.75/41.99      ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12121_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20306,plain,
% 41.75/41.99      ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3164]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20307,plain,
% 41.75/41.99      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20306]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3158,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12123_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20294,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3158]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20295,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.99      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20294]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3155,plain,
% 41.75/41.99      ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12124_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20288,plain,
% 41.75/41.99      ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Numeral_Onumber(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3155]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20289,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20288]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3152,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12125_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20282,plain,
% 41.75/41.99      ( X0 = c_0
% 41.75/41.99      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3152]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20283,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.99      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 41.75/41.99      | X1 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20282]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3150,plain,
% 41.75/41.99      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12129_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20278,plain,
% 41.75/41.99      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3150]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20279,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.99      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20278]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3148,plain,
% 41.75/41.99      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12130_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20274,plain,
% 41.75/41.99      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3148]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20275,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.75/41.99      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20274]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3146,plain,
% 41.75/41.99      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12133_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20270,plain,
% 41.75/41.99      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3146]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20271,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.99      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20270]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3144,plain,
% 41.75/41.99      ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 41.75/41.99      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12134_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20266,plain,
% 41.75/41.99      ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 41.75/41.99      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3144]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20267,plain,
% 41.75/41.99      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.99      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20266]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3142,plain,
% 41.75/41.99      ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 41.75/41.99      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12135_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20262,plain,
% 41.75/41.99      ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 41.75/41.99      | ~ class_Orderings_Olinorder(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3142]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20263,plain,
% 41.75/41.99      ( ~ class_Orderings_Olinorder(X0)
% 41.75/41.99      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20262]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3132,plain,
% 41.75/41.99      ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 41.75/41.99      | c_Numeral_Onumber__of(X1,X2) != c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.99      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12138_4) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20242,plain,
% 41.75/41.99      ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 41.75/41.99      | c_Numeral_Onumber__of(X1,X2) != c_0
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 41.75/41.99      | ~ class_Numeral_Onumber(X2) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3132]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20243,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_Numeral_Onumber__of(X1,X0) != c_0
% 41.75/41.99      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20242]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3130,plain,
% 41.75/41.99      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12139_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20238,plain,
% 41.75/41.99      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3130]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3128,plain,
% 41.75/41.99      ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12140_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20234,plain,
% 41.75/41.99      ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3128]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20235,plain,
% 41.75/41.99      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20234]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3126,plain,
% 41.75/41.99      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12141_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20230,plain,
% 41.75/41.99      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3126]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3124,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12144_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20226,plain,
% 41.75/41.99      ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 41.75/41.99      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3124]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3121,plain,
% 41.75/41.99      ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12145_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20220,plain,
% 41.75/41.99      ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3121]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20221,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20220]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3118,plain,
% 41.75/41.99      ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12146_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20214,plain,
% 41.75/41.99      ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3118]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20215,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20214]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3106,plain,
% 41.75/41.99      ( X0 = c_emptyset
% 41.75/41.99      | c_Union(X1,X2) != c_emptyset
% 41.75/41.99      | ~ c_in(X0,X1,tc_set(X2)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12150_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20190,plain,
% 41.75/41.99      ( X0 = c_emptyset
% 41.75/41.99      | c_Union(X1,X2) != c_emptyset
% 41.75/41.99      | ~ c_in(X0,X1,tc_set(X2)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3106]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20191,plain,
% 41.75/41.99      ( ~ c_in(X0,X1,tc_set(X2))
% 41.75/41.99      | c_Union(X1,X2) != c_emptyset
% 41.75/41.99      | X0 = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20190]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3100,plain,
% 41.75/41.99      ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12152_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20178,plain,
% 41.75/41.99      ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3100]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20179,plain,
% 41.75/41.99      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20178]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3098,plain,
% 41.75/41.99      ( c_List_Oremdups(X0,X1) = X0
% 41.75/41.99      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12153_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20174,plain,
% 41.75/41.99      ( c_List_Oremdups(X0,X1) = X0
% 41.75/41.99      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3098]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20175,plain,
% 41.75/41.99      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 41.75/41.99      | c_List_Oremdups(X0,X1) = X0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20174]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3095,plain,
% 41.75/41.99      ( c_uminus(X0,X1) = c_HOL_Oabs(X0,X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12154_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20168,plain,
% 41.75/41.99      ( c_uminus(X0,X1) = c_HOL_Oabs(X0,X1)
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3095]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20169,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.99      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.99      | c_uminus(X1,X0) = c_HOL_Oabs(X1,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20168]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3093,plain,
% 41.75/41.99      ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12159_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20164,plain,
% 41.75/41.99      ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3093]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20165,plain,
% 41.75/41.99      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20164]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3090,plain,
% 41.75/41.99      ( X0 = c_emptyset
% 41.75/41.99      | c_Finite__Set_Ocard(X0,X1) != c_0
% 41.75/41.99      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12162_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20158,plain,
% 41.75/41.99      ( X0 = c_emptyset
% 41.75/41.99      | c_Finite__Set_Ocard(X0,X1) != c_0
% 41.75/41.99      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3090]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20159,plain,
% 41.75/41.99      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.75/41.99      | c_Finite__Set_Ocard(X0,X1) != c_0
% 41.75/41.99      | X0 = c_emptyset ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20158]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3086,plain,
% 41.75/41.99      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12163_3) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20150,plain,
% 41.75/41.99      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3086]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20151,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20150]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3080,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 41.75/41.99      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12165_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20138,plain,
% 41.75/41.99      ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 41.75/41.99      | ~ class_Orderings_Oorder(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3080]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20139,plain,
% 41.75/41.99      ( ~ class_Orderings_Oorder(X0)
% 41.75/41.99      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20138]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3078,plain,
% 41.75/41.99      ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12166_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20134,plain,
% 41.75/41.99      ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3078]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20135,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20134]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3076,plain,
% 41.75/41.99      ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12167_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20130,plain,
% 41.75/41.99      ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3076]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20131,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20130]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3072,plain,
% 41.75/41.99      ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12168_3) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20122,plain,
% 41.75/41.99      ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3072]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20123,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.75/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.75/41.99      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20122]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3068,plain,
% 41.75/41.99      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12169_3) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20114,plain,
% 41.75/41.99      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3068]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20115,plain,
% 41.75/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.75/41.99      | ~ class_Power_Orecpower(X0)
% 41.75/41.99      | ~ c_Parity_Oeven(X1,tc_nat)
% 41.75/41.99      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20114]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3062,plain,
% 41.75/41.99      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12175_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20102,plain,
% 41.75/41.99      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3062]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3060,plain,
% 41.75/41.99      ( X0 = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12176_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20098,plain,
% 41.75/41.99      ( X0 = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3060]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20099,plain,
% 41.75/41.99      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20098]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3058,plain,
% 41.75/41.99      ( X0 = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12177_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20094,plain,
% 41.75/41.99      ( X0 = c_List_Olist_ONil
% 41.75/41.99      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3058]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20095,plain,
% 41.75/41.99      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 41.75/41.99      | X0 = c_List_Olist_ONil ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20094]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3055,plain,
% 41.75/41.99      ( c_OrderedGroup_Opprt(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12178_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20088,plain,
% 41.75/41.99      ( c_OrderedGroup_Opprt(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3055]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20089,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.99      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20088]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3052,plain,
% 41.75/41.99      ( c_OrderedGroup_Onprt(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12179_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20082,plain,
% 41.75/41.99      ( c_OrderedGroup_Onprt(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3052]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20083,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.99      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20082]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3049,plain,
% 41.75/41.99      ( c_HOL_Oabs(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12180_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20076,plain,
% 41.75/41.99      ( c_HOL_Oabs(X0,X1) = X0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3049]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20077,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.75/41.99      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.99      | c_HOL_Oabs(X1,X0) = X1 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20076]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3047,plain,
% 41.75/41.99      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12181_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20072,plain,
% 41.75/41.99      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 41.75/41.99      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3047]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20073,plain,
% 41.75/41.99      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.75/41.99      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20072]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3044,plain,
% 41.75/41.99      ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12182_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20066,plain,
% 41.75/41.99      ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 41.75/41.99      | ~ c_lessequals(X0,c_0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3044]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20067,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | ~ c_lessequals(X1,c_0,X0)
% 41.75/41.99      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20066]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3041,plain,
% 41.75/41.99      ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12183_2) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20060,plain,
% 41.75/41.99      ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 41.75/41.99      | ~ c_lessequals(c_0,X0,X1)
% 41.75/41.99      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.75/41.99      inference(copy,[status(esa)],[c_3041]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20061,plain,
% 41.75/41.99      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.75/41.99      | ~ c_lessequals(c_0,X1,X0)
% 41.75/41.99      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 41.75/41.99      inference(rewriting,[status(thm)],[c_20060]) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_3039,plain,
% 41.75/41.99      ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 41.75/41.99      | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 41.75/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12184_1) ).
% 41.75/41.99  
% 41.75/41.99  cnf(c_20056,plain,
% 41.86/41.99      ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 41.86/41.99      | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3039]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20057,plain,
% 41.86/41.99      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 41.86/41.99      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_20056]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3036,plain,
% 41.86/41.99      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 41.86/41.99      | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.86/41.99      | ~ class_Power_Orecpower(X1) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12185_2) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20050,plain,
% 41.86/41.99      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 41.86/41.99      | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 41.86/41.99      | ~ class_Power_Orecpower(X1) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3036]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20051,plain,
% 41.86/41.99      ( ~ class_Power_Orecpower(X0)
% 41.86/41.99      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 41.86/41.99      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_20050]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3035,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/41.99      | c_divide(X1,X2,X0) != c_0
% 41.86/41.99      | X2 = c_0
% 41.86/41.99      | X1 = c_0 ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12186_0) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20048,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/41.99      | c_divide(X1,X2,X0) != c_0
% 41.86/41.99      | X2 = c_0
% 41.86/41.99      | X1 = c_0 ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3035]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3031,plain,
% 41.86/41.99      ( X0 = c_0
% 41.86/41.99      | X1 = c_0
% 41.86/41.99      | c_divide(X0,X1,X2) != c_0
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12186_4) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20040,plain,
% 41.86/41.99      ( X0 = c_0
% 41.86/41.99      | X1 = c_0
% 41.86/41.99      | c_divide(X0,X1,X2) != c_0
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3031]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20041,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/41.99      | c_divide(X1,X2,X0) != c_0
% 41.86/41.99      | X1 = c_0
% 41.86/41.99      | X2 = c_0 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_20040]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3019,plain,
% 41.86/41.99      ( X0 = X1
% 41.86/41.99      | c_divide(X1,X0,X2) != c_1
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12189_3) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20016,plain,
% 41.86/41.99      ( X0 = X1
% 41.86/41.99      | c_divide(X1,X0,X2) != c_1
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3019]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20017,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/41.99      | c_divide(X1,X2,X0) != c_1
% 41.86/41.99      | X2 = X1 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_20016]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3015,plain,
% 41.86/41.99      ( X0 = X1
% 41.86/41.99      | c_divide(X0,X1,X2) != c_1
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12190_3) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20008,plain,
% 41.86/41.99      ( X0 = X1
% 41.86/41.99      | c_divide(X0,X1,X2) != c_1
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3015]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_20009,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/41.99      | c_divide(X1,X2,X0) != c_1
% 41.86/41.99      | X1 = X2 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_20008]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3009,plain,
% 41.86/41.99      ( c_Union(X0,X1) = c_emptyset
% 41.86/41.99      | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12195_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19996,plain,
% 41.86/41.99      ( c_Union(X0,X1) = c_emptyset
% 41.86/41.99      | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3009]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19997,plain,
% 41.86/41.99      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 41.86/41.99      | c_Union(X0,X1) = c_emptyset ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19996]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3007,plain,
% 41.86/41.99      ( c_Union(X0,X1) = c_emptyset
% 41.86/41.99      | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12196_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19992,plain,
% 41.86/41.99      ( c_Union(X0,X1) = c_emptyset
% 41.86/41.99      | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3007]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19993,plain,
% 41.86/41.99      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 41.86/41.99      | c_Union(X0,X1) = c_emptyset ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19992]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3005,plain,
% 41.86/41.99      ( c_Inter(X0,X1) = c_UNIV
% 41.86/41.99      | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12197_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19988,plain,
% 41.86/41.99      ( c_Inter(X0,X1) = c_UNIV
% 41.86/41.99      | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3005]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19989,plain,
% 41.86/41.99      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 41.86/41.99      | c_Inter(X0,X1) = c_UNIV ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19988]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3003,plain,
% 41.86/41.99      ( c_Inter(X0,X1) = c_UNIV
% 41.86/41.99      | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12198_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19984,plain,
% 41.86/41.99      ( c_Inter(X0,X1) = c_UNIV
% 41.86/41.99      | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3003]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19985,plain,
% 41.86/41.99      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 41.86/41.99      | c_Inter(X0,X1) = c_UNIV ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19984]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_3001,plain,
% 41.86/41.99      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/41.99      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12199_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19980,plain,
% 41.86/41.99      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/41.99      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_3001]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_2998,plain,
% 41.86/41.99      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.86/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12200_2) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19974,plain,
% 41.86/41.99      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.86/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_2998]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19975,plain,
% 41.86/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/41.99      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/41.99      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19974]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_2982,plain,
% 41.86/41.99      ( X0 = c_0
% 41.86/41.99      | c_divide(c_1,X0,X1) != c_0
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12204_3) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19942,plain,
% 41.86/41.99      ( X0 = c_0
% 41.86/41.99      | c_divide(c_1,X0,X1) != c_0
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/41.99      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_2982]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19943,plain,
% 41.86/41.99      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/41.99      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/41.99      | c_divide(c_1,X1,X0) != c_0
% 41.86/41.99      | X1 = c_0 ),
% 41.86/41.99      inference(rewriting,[status(thm)],[c_19942]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_2980,plain,
% 41.86/41.99      ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 41.86/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/41.99      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12205_1) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19938,plain,
% 41.86/41.99      ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 41.86/41.99      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/41.99      inference(copy,[status(esa)],[c_2980]) ).
% 41.86/41.99  
% 41.86/41.99  cnf(c_19939,plain,
% 41.86/41.99      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19938]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2978,plain,
% 41.86/42.00      ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12206_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19934,plain,
% 41.86/42.00      ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2978]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19935,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19934]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2976,plain,
% 41.86/42.00      ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12208_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19930,plain,
% 41.86/42.00      ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2976]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19931,plain,
% 41.86/42.00      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19930]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2970,plain,
% 41.86/42.00      ( c_divide(X0,c_0,X1) != c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12210_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19918,plain,
% 41.86/42.00      ( c_divide(X0,c_0,X1) != c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2970]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19919,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | c_divide(X1,c_0,X0) != c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19918]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2962,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X0,X1,X2) != X1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12212_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19902,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X0,X1,X2) != X1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2962]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19903,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_times(X1,X2,X0) != X2
% 41.86/42.00      | X1 = c_1
% 41.86/42.00      | X2 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19902]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2954,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X1,X0,X2) != X1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12214_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19886,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X1,X0,X2) != X1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2954]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19887,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_times(X1,X2,X0) != X1
% 41.86/42.00      | X2 = c_1
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19886]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2953,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.00      | c_times(X1,X2,X0) != c_0
% 41.86/42.00      | X2 = c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12215_0) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19884,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.00      | c_times(X1,X2,X0) != c_0
% 41.86/42.00      | X2 = c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2953]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2950,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X0,X1,X2) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12215_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19878,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_times(X0,X1,X2) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2950]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19879,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.00      | c_times(X1,X2,X0) != c_0
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | X2 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19878]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2947,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.86/42.00      | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12216_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19872,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 41.86/42.00      | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2947]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19873,plain,
% 41.86/42.00      ( ~ class_Power_Orecpower(X0)
% 41.86/42.00      | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 41.86/42.00      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19872]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2944,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_minus(X0,X1,X2) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12218_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19866,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_minus(X0,X1,X2) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2944]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19867,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_minus(X1,X2,X0) != c_0
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19866]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2942,plain,
% 41.86/42.00      ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12219_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19862,plain,
% 41.86/42.00      ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2942]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19863,plain,
% 41.86/42.00      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19862]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2939,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12222_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19856,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2939]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19857,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19856]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2936,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12223_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19850,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2936]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19851,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19850]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2933,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12224_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19844,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2933]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19845,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19844]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2931,plain,
% 41.86/42.00      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12226_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19840,plain,
% 41.86/42.00      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2931]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19841,plain,
% 41.86/42.00      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19840]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2929,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 41.86/42.00      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12230_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19836,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 41.86/42.00      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2929]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19837,plain,
% 41.86/42.00      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19836]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2927,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12231_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19832,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2927]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19833,plain,
% 41.86/42.00      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19832]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2919,plain,
% 41.86/42.00      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12234_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19816,plain,
% 41.86/42.00      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2919]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2917,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12235_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19812,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2917]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19813,plain,
% 41.86/42.00      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 41.86/42.00      | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19812]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2915,plain,
% 41.86/42.00      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 41.86/42.00      | c_List_Oremdups(X0,X1) != X0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12237_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19808,plain,
% 41.86/42.00      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 41.86/42.00      | c_List_Oremdups(X0,X1) != X0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2915]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2910,plain,
% 41.86/42.00      ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12239_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19798,plain,
% 41.86/42.00      ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2910]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19799,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19798]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2907,plain,
% 41.86/42.00      ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12240_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19792,plain,
% 41.86/42.00      ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2907]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19793,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19792]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2904,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12241_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19786,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | X1 = c_0
% 41.86/42.00      | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2904]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19787,plain,
% 41.86/42.00      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | X1 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19786]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2890,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12248_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19758,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2890]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19759,plain,
% 41.86/42.00      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19758]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2888,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12249_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19754,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2888]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19755,plain,
% 41.86/42.00      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19754]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2886,plain,
% 41.86/42.00      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12250_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19750,plain,
% 41.86/42.00      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2886]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19751,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19750]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2884,plain,
% 41.86/42.00      ( ~ c_lessequals(c_1,c_0,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12251_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19746,plain,
% 41.86/42.00      ( ~ c_lessequals(c_1,c_0,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2884]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19747,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | ~ c_lessequals(c_1,c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19746]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2881,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12252_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19740,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2881]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19741,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19740]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2879,plain,
% 41.86/42.00      ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12253_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19736,plain,
% 41.86/42.00      ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2879]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19737,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19736]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2877,plain,
% 41.86/42.00      ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12254_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19732,plain,
% 41.86/42.00      ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2877]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19733,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19732]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2875,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12255_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19728,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2875]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19729,plain,
% 41.86/42.00      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19728]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2873,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12256_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19724,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2873]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19725,plain,
% 41.86/42.00      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19724]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2871,plain,
% 41.86/42.00      ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12257_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19720,plain,
% 41.86/42.00      ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2871]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19721,plain,
% 41.86/42.00      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19720]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2869,plain,
% 41.86/42.00      ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12258_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19716,plain,
% 41.86/42.00      ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2869]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19717,plain,
% 41.86/42.00      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19716]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2867,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12259_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19712,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil
% 41.86/42.00      | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2867]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19713,plain,
% 41.86/42.00      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 41.86/42.00      | X1 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19712]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2861,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12262_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19700,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2861]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19701,plain,
% 41.86/42.00      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19700]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2859,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12263_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19696,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2859]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19697,plain,
% 41.86/42.00      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19696]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2855,plain,
% 41.86/42.00      ( X0 = c_emptyset
% 41.86/42.00      | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12265_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19688,plain,
% 41.86/42.00      ( X0 = c_emptyset
% 41.86/42.00      | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2855]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19689,plain,
% 41.86/42.00      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 41.86/42.00      | X0 = c_emptyset ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19688]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2854,plain,
% 41.86/42.00      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12268_0) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19686,plain,
% 41.86/42.00      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2854]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2852,plain,
% 41.86/42.00      ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12268_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19682,plain,
% 41.86/42.00      ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2852]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19683,plain,
% 41.86/42.00      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19682]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2850,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12269_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19678,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2850]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19679,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19678]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2848,plain,
% 41.86/42.00      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12270_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19674,plain,
% 41.86/42.00      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2848]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19675,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19674]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2846,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12271_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19670,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2846]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19671,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19670]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2844,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12272_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19666,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2844]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19667,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19666]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2842,plain,
% 41.86/42.00      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12273_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19662,plain,
% 41.86/42.00      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2842]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19663,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.00      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19662]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2840,plain,
% 41.86/42.00      ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12279_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19658,plain,
% 41.86/42.00      ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2840]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19659,plain,
% 41.86/42.00      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19658]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2838,plain,
% 41.86/42.00      ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12282_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19654,plain,
% 41.86/42.00      ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2838]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19655,plain,
% 41.86/42.00      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19654]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2836,plain,
% 41.86/42.00      ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12283_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19650,plain,
% 41.86/42.00      ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2836]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19651,plain,
% 41.86/42.00      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19650]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2834,plain,
% 41.86/42.00      ( c_uminus(c_IntDef_Oof__int(X0,X1),X1) = c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12285_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19646,plain,
% 41.86/42.00      ( c_uminus(c_IntDef_Oof__int(X0,X1),X1) = c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2834]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19647,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_uminus(c_IntDef_Oof__int(X1,X0),X0) = c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19646]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2832,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12289_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19642,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2832]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19643,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19642]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2830,plain,
% 41.86/42.00      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12290_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19638,plain,
% 41.86/42.00      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2830]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19639,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19638]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2828,plain,
% 41.86/42.00      ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12291_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19634,plain,
% 41.86/42.00      ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2828]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19635,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19634]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2826,plain,
% 41.86/42.00      ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12292_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19630,plain,
% 41.86/42.00      ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2826]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19631,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19630]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2824,plain,
% 41.86/42.00      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12293_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19626,plain,
% 41.86/42.00      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2824]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19627,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19626]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2822,plain,
% 41.86/42.00      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12294_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19622,plain,
% 41.86/42.00      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2822]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19623,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19622]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2820,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12295_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19618,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2820]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19619,plain,
% 41.86/42.00      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19618]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2818,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12296_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19614,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2818]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19615,plain,
% 41.86/42.00      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19614]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2816,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12297_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19610,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2816]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19611,plain,
% 41.86/42.00      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19610]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2814,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12298_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19606,plain,
% 41.86/42.00      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2814]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19607,plain,
% 41.86/42.00      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19606]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2812,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12299_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19602,plain,
% 41.86/42.00      ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2812]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19603,plain,
% 41.86/42.00      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19602]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2810,plain,
% 41.86/42.00      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12302_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19598,plain,
% 41.86/42.00      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2810]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19599,plain,
% 41.86/42.00      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19598]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2808,plain,
% 41.86/42.00      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12309_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19594,plain,
% 41.86/42.00      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2808]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19595,plain,
% 41.86/42.00      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19594]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2806,plain,
% 41.86/42.00      ( c_List_Odistinct(X0,X1)
% 41.86/42.00      | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12310_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19590,plain,
% 41.86/42.00      ( c_List_Odistinct(X0,X1)
% 41.86/42.00      | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2806]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19591,plain,
% 41.86/42.00      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 41.86/42.00      | c_List_Odistinct(X0,X1) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19590]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2801,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12313_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19580,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2801]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19581,plain,
% 41.86/42.00      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19580]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2799,plain,
% 41.86/42.00      ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12314_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19576,plain,
% 41.86/42.00      ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2799]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19577,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19576]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2797,plain,
% 41.86/42.00      ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 41.86/42.00      | c_lessequals(X0,X1,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12315_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19572,plain,
% 41.86/42.00      ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 41.86/42.00      | c_lessequals(X0,X1,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2797]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19573,plain,
% 41.86/42.00      ( c_lessequals(X0,X1,tc_nat)
% 41.86/42.00      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19572]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2795,plain,
% 41.86/42.00      ( c_Finite__Set_Ocard(X0,X1) = c_0
% 41.86/42.00      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12316_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19568,plain,
% 41.86/42.00      ( c_Finite__Set_Ocard(X0,X1) = c_0
% 41.86/42.00      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2795]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19569,plain,
% 41.86/42.00      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 41.86/42.00      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19568]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2784,plain,
% 41.86/42.00      ( c_divide(X0,X0,X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12323_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19546,plain,
% 41.86/42.00      ( c_divide(X0,X0,X1) = c_1
% 41.86/42.00      | X0 = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2784]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19547,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | c_divide(X1,X1,X0) = c_1
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19546]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2782,plain,
% 41.86/42.00      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 41.86/42.00      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12326_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19542,plain,
% 41.86/42.00      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 41.86/42.00      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2782]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2780,plain,
% 41.86/42.00      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 41.86/42.00      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12327_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19538,plain,
% 41.86/42.00      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 41.86/42.00      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2780]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2778,plain,
% 41.86/42.00      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.86/42.00      | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12328_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19534,plain,
% 41.86/42.00      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 41.86/42.00      | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2778]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19535,plain,
% 41.86/42.00      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19534]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2772,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12331_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19522,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2772]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19523,plain,
% 41.86/42.00      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19522]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2770,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12332_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19518,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 41.86/42.00      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2770]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19519,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19518]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2767,plain,
% 41.86/42.00      ( c_divide(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12334_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19512,plain,
% 41.86/42.00      ( c_divide(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2767]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19513,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_divide(X1,c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19512]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2764,plain,
% 41.86/42.00      ( c_divide(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12335_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19506,plain,
% 41.86/42.00      ( c_divide(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2764]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19507,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_divide(c_0,X1,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19506]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2762,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12336_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19502,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2762]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19503,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19502]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2760,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12337_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19498,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2760]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19499,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19498]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2758,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12338_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19494,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2758]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19495,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19494]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2756,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12339_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19490,plain,
% 41.86/42.00      ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2756]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19491,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19490]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2754,plain,
% 41.86/42.00      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12340_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19486,plain,
% 41.86/42.00      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2754]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19487,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19486]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2752,plain,
% 41.86/42.00      ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12341_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19482,plain,
% 41.86/42.00      ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2752]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19483,plain,
% 41.86/42.00      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19482]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2746,plain,
% 41.86/42.00      ( c_divide(c_1,c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12345_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19470,plain,
% 41.86/42.00      ( c_divide(c_1,c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2746]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19471,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__field(X0)
% 41.86/42.00      | c_divide(c_1,c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19470]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2743,plain,
% 41.86/42.00      ( c_divide(c_0,c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12346_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19464,plain,
% 41.86/42.00      ( c_divide(c_0,c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2743]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19465,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_divide(c_0,c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19464]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2741,plain,
% 41.86/42.00      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12347_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19460,plain,
% 41.86/42.00      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2741]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19461,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19460]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2739,plain,
% 41.86/42.00      ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12348_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19456,plain,
% 41.86/42.00      ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2739]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19457,plain,
% 41.86/42.00      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19456]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2737,plain,
% 41.86/42.00      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12349_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19452,plain,
% 41.86/42.00      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2737]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2735,plain,
% 41.86/42.00      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 41.86/42.00      | ~ c_List_Odistinct(X0,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12350_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19448,plain,
% 41.86/42.00      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 41.86/42.00      | ~ c_List_Odistinct(X0,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2735]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2733,plain,
% 41.86/42.00      ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12351_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19444,plain,
% 41.86/42.00      ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2733]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19445,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19444]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2731,plain,
% 41.86/42.00      ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12352_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19440,plain,
% 41.86/42.00      ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2731]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19441,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19440]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2729,plain,
% 41.86/42.00      ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12353_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19436,plain,
% 41.86/42.00      ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2729]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19437,plain,
% 41.86/42.00      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19436]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2727,plain,
% 41.86/42.00      ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12354_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19432,plain,
% 41.86/42.00      ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2727]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19433,plain,
% 41.86/42.00      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19432]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2725,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 41.86/42.00      | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12355_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19428,plain,
% 41.86/42.00      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 41.86/42.00      | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2725]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19429,plain,
% 41.86/42.00      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 41.86/42.00      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19428]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2723,plain,
% 41.86/42.00      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12356_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19424,plain,
% 41.86/42.00      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2723]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19425,plain,
% 41.86/42.00      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19424]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2721,plain,
% 41.86/42.00      ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12357_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19420,plain,
% 41.86/42.00      ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2721]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19421,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19420]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2719,plain,
% 41.86/42.00      ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12358_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19416,plain,
% 41.86/42.00      ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2719]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19417,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19416]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2717,plain,
% 41.86/42.00      ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12359_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19412,plain,
% 41.86/42.00      ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2717]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19413,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19412]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2715,plain,
% 41.86/42.00      ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12360_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19408,plain,
% 41.86/42.00      ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2715]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19409,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19408]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2713,plain,
% 41.86/42.00      ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12361_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19404,plain,
% 41.86/42.00      ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2713]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19405,plain,
% 41.86/42.00      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19404]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2711,plain,
% 41.86/42.00      ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12362_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19400,plain,
% 41.86/42.00      ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2711]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19401,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19400]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2709,plain,
% 41.86/42.00      ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12363_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19396,plain,
% 41.86/42.00      ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2709]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19397,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19396]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2707,plain,
% 41.86/42.00      ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12364_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19392,plain,
% 41.86/42.00      ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2707]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19393,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19392]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2705,plain,
% 41.86/42.00      ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12365_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19388,plain,
% 41.86/42.00      ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2705]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19389,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19388]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2703,plain,
% 41.86/42.00      ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12366_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19384,plain,
% 41.86/42.00      ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2703]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19385,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19384]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2701,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12367_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19380,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2701]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19381,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19380]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2699,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12368_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19376,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2699]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19377,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19376]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2695,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12372_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19368,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2695]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19369,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19368]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2693,plain,
% 41.86/42.00      ( c_times(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12373_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19364,plain,
% 41.86/42.00      ( c_times(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2693]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19365,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.00      | c_times(X1,c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19364]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2691,plain,
% 41.86/42.00      ( c_times(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12374_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19360,plain,
% 41.86/42.00      ( c_times(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2691]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19361,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.00      | c_times(c_0,X1,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19360]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2689,plain,
% 41.86/42.00      ( c_times(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12375_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19356,plain,
% 41.86/42.00      ( c_times(X0,c_0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2689]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19357,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_times(X1,c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19356]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2687,plain,
% 41.86/42.00      ( c_times(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12376_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19352,plain,
% 41.86/42.00      ( c_times(c_0,X0,X1) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2687]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19353,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_times(c_0,X1,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19352]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2685,plain,
% 41.86/42.00      ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12377_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19348,plain,
% 41.86/42.00      ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2685]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19349,plain,
% 41.86/42.00      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19348]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2683,plain,
% 41.86/42.00      ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12378_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19344,plain,
% 41.86/42.00      ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2683]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19345,plain,
% 41.86/42.00      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19344]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2681,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_1,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12387_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19340,plain,
% 41.86/42.00      ( c_lessequals(c_0,c_1,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2681]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19341,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_lessequals(c_0,c_1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19340]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2679,plain,
% 41.86/42.00      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12388_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19336,plain,
% 41.86/42.00      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2679]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19337,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19336]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2677,plain,
% 41.86/42.00      ( c_in(c_1,c_IntDef_ONats,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12389_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19332,plain,
% 41.86/42.00      ( c_in(c_1,c_IntDef_ONats,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2677]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19333,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.00      | c_in(c_1,c_IntDef_ONats,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19332]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2675,plain,
% 41.86/42.00      ( c_in(c_0,c_IntDef_ONats,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12390_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19328,plain,
% 41.86/42.00      ( c_in(c_0,c_IntDef_ONats,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2675]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19329,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.00      | c_in(c_0,c_IntDef_ONats,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19328]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2673,plain,
% 41.86/42.00      ( c_in(c_1,c_IntDef_OInts,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12391_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19324,plain,
% 41.86/42.00      ( c_in(c_1,c_IntDef_OInts,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2673]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19325,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_in(c_1,c_IntDef_OInts,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19324]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2671,plain,
% 41.86/42.00      ( c_in(c_0,c_IntDef_OInts,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12392_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19320,plain,
% 41.86/42.00      ( c_in(c_0,c_IntDef_OInts,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2671]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19321,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_in(c_0,c_IntDef_OInts,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19320]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2669,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12393_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19316,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2669]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19317,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19316]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2667,plain,
% 41.86/42.00      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12402_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19312,plain,
% 41.86/42.00      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 41.86/42.00      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2667]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2664,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12405_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19306,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2664]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19307,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19306]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2662,plain,
% 41.86/42.00      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12407_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19302,plain,
% 41.86/42.00      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2662]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2660,plain,
% 41.86/42.00      ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 41.86/42.00      | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12409_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19298,plain,
% 41.86/42.00      ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 41.86/42.00      | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2660]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19299,plain,
% 41.86/42.00      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 41.86/42.00      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19298]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2657,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12426_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19292,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2657]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19293,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19292]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2654,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12427_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19286,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2654]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19287,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19286]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2651,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12428_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19280,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2651]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19281,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19280]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2648,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12429_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19274,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 41.86/42.00      | ~ class_Orderings_Olinorder(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2648]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19275,plain,
% 41.86/42.00      ( ~ class_Orderings_Olinorder(X0)
% 41.86/42.00      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19274]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2645,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_uminus(X0,X2) != c_uminus(X1,X2)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12430_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19268,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_uminus(X0,X2) != c_uminus(X1,X2)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2645]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19269,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19268]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2642,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12431_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19262,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2642]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19263,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19262]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2639,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12432_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19256,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2639]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19257,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 41.86/42.00      | X1 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19256]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2637,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12433_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19252,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2637]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19253,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19252]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2635,plain,
% 41.86/42.00      ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12444_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19248,plain,
% 41.86/42.00      ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2635]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19249,plain,
% 41.86/42.00      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19248]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2629,plain,
% 41.86/42.00      ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | ~ class_HOL_Oone(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12494_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19236,plain,
% 41.86/42.00      ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | ~ class_HOL_Oone(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2629]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19237,plain,
% 41.86/42.00      ( ~ class_HOL_Oone(X0)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19236]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2622,plain,
% 41.86/42.00      ( X0 = c_uminus(c_1,X1)
% 41.86/42.00      | c_uminus(X0,X1) != c_1
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.86/42.00      | ~ class_HOL_Oone(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12496_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19222,plain,
% 41.86/42.00      ( X0 = c_uminus(c_1,X1)
% 41.86/42.00      | c_uminus(X0,X1) != c_1
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1)
% 41.86/42.00      | ~ class_HOL_Oone(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2622]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19223,plain,
% 41.86/42.00      ( ~ class_HOL_Oone(X0)
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_uminus(X1,X0) != c_1
% 41.86/42.00      | X1 = c_uminus(c_1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19222]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2620,plain,
% 41.86/42.00      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12499_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19218,plain,
% 41.86/42.00      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2620]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2618,plain,
% 41.86/42.00      ( c_uminus(c_uminus(X0,X1),X1) = X0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12505_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19214,plain,
% 41.86/42.00      ( c_uminus(c_uminus(X0,X1),X1) = X0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2618]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19215,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19214]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2616,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12506_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19210,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2616]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19211,plain,
% 41.86/42.00      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19210]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2614,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12507_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19206,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2614]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19207,plain,
% 41.86/42.00      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19206]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2612,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12508_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19202,plain,
% 41.86/42.00      ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2612]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19203,plain,
% 41.86/42.00      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19202]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2610,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12509_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19198,plain,
% 41.86/42.00      ( X0 = X1
% 41.86/42.00      | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2610]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19199,plain,
% 41.86/42.00      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 41.86/42.00      | X0 = X2 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19198]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2607,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12514_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19192,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2607]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2604,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12515_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19186,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2604]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2601,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12516_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19180,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0)
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2601]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2599,plain,
% 41.86/42.00      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12517_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19176,plain,
% 41.86/42.00      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2599]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19177,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19176]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2597,plain,
% 41.86/42.00      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 41.86/42.00      | X0 = c_Datatype_Ooption_ONone ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12518_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19172,plain,
% 41.86/42.00      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 41.86/42.00      | X0 = c_Datatype_Ooption_ONone ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2597]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2595,plain,
% 41.86/42.00      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 41.86/42.00      | X0 = c_Datatype_Ooption_ONone ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12519_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19168,plain,
% 41.86/42.00      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 41.86/42.00      | X0 = c_Datatype_Ooption_ONone ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2595]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2593,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12520_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19164,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2593]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19165,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19164]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2591,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12521_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19160,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2591]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19161,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19160]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2587,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_HOL_Oinverse(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12533_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19152,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_HOL_Oinverse(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2587]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19153,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(X1,X0) != c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19152]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2583,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | c_HOL_Oinverse(X0,X1) != c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12534_3) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19144,plain,
% 41.86/42.00      ( X0 = c_1
% 41.86/42.00      | c_HOL_Oinverse(X0,X1) != c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X1)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2583]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19145,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(X1,X0) != c_1
% 41.86/42.00      | X1 = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19144]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2581,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12535_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19140,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2581]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19141,plain,
% 41.86/42.00      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19140]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2579,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12536_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19136,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2579]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19137,plain,
% 41.86/42.00      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 41.86/42.00      | X0 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19136]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2577,plain,
% 41.86/42.00      ( c_Union(X0,X1) = c_emptyset
% 41.86/42.00      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12537_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19132,plain,
% 41.86/42.00      ( c_Union(X0,X1) = c_emptyset
% 41.86/42.00      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2577]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2575,plain,
% 41.86/42.00      ( c_Union(X0,X1) = c_emptyset
% 41.86/42.00      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12538_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19128,plain,
% 41.86/42.00      ( c_Union(X0,X1) = c_emptyset
% 41.86/42.00      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2575]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2573,plain,
% 41.86/42.00      ( c_Inter(X0,X1) = c_UNIV
% 41.86/42.00      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12539_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19124,plain,
% 41.86/42.00      ( c_Inter(X0,X1) = c_UNIV
% 41.86/42.00      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2573]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2571,plain,
% 41.86/42.00      ( c_Inter(X0,X1) = c_UNIV
% 41.86/42.00      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12540_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19120,plain,
% 41.86/42.00      ( c_Inter(X0,X1) = c_UNIV
% 41.86/42.00      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2571]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2569,plain,
% 41.86/42.00      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.86/42.00      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12541_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19116,plain,
% 41.86/42.00      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.86/42.00      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2569]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2567,plain,
% 41.86/42.00      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.86/42.00      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12542_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19112,plain,
% 41.86/42.00      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 41.86/42.00      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2567]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2565,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12544_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19108,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2565]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19109,plain,
% 41.86/42.00      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19108]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2563,plain,
% 41.86/42.00      ( c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12546_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19104,plain,
% 41.86/42.00      ( c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2563]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19105,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19104]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2561,plain,
% 41.86/42.00      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12547_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19100,plain,
% 41.86/42.00      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2561]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2558,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12548_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19094,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_uminus(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2558]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19095,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_uminus(X1,X0) != c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19094]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2555,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_uminus(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12549_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19088,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_uminus(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2555]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19089,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.00      | c_0 = X1
% 41.86/42.00      | c_uminus(X1,X0) != c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19088]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2549,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_HOL_Oabs(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12551_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19076,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_HOL_Oabs(X0,X1) != c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2549]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19077,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_HOL_Oabs(X1,X0) != c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19076]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2546,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12552_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19070,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2546]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19071,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_NatArith_Oof__nat(X1,X0) != c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19070]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2543,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12553_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19064,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_NatArith_Oof__nat(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2543]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19065,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_0 = X1
% 41.86/42.00      | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19064]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2540,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_IntDef_Oof__int(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12554_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19058,plain,
% 41.86/42.00      ( X0 = c_0
% 41.86/42.00      | c_IntDef_Oof__int(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2540]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19059,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_IntDef_Oof__int(X1,X0) != c_0
% 41.86/42.00      | X1 = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19058]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2537,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_IntDef_Oof__int(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12555_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19052,plain,
% 41.86/42.00      ( c_0 = X0
% 41.86/42.00      | c_IntDef_Oof__int(X0,X1) != c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2537]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19053,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_0 = X1
% 41.86/42.00      | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19052]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2535,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12558_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19048,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2535]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19049,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19048]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2533,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12559_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19044,plain,
% 41.86/42.00      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2533]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19045,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19044]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2531,plain,
% 41.86/42.00      ( ~ c_IntDef_Oiszero(c_1,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12560_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19040,plain,
% 41.86/42.00      ( ~ c_IntDef_Oiszero(c_1,X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2531]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19041,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.00      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19040]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2528,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12561_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19034,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2528]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19035,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19034]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2525,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12562_2) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19028,plain,
% 41.86/42.00      ( c_HOL_Oinverse(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2525]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19029,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Ofield(X0)
% 41.86/42.00      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19028]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2521,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12565_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19020,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2521]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19021,plain,
% 41.86/42.00      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19020]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2519,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12566_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19016,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2519]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19017,plain,
% 41.86/42.00      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19016]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2513,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12569_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19004,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2513]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19005,plain,
% 41.86/42.00      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19004]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2511,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12570_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19000,plain,
% 41.86/42.00      ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2511]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_19001,plain,
% 41.86/42.00      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_19000]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2509,plain,
% 41.86/42.00      ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12571_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18996,plain,
% 41.86/42.00      ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2509]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18997,plain,
% 41.86/42.00      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18996]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2507,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12575_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18992,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2507]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18993,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18992]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2505,plain,
% 41.86/42.00      ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12576_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18988,plain,
% 41.86/42.00      ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2505]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18989,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18988]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2503,plain,
% 41.86/42.00      ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12577_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18984,plain,
% 41.86/42.00      ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2503]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18985,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.00      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18984]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2499,plain,
% 41.86/42.00      ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12579_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18976,plain,
% 41.86/42.00      ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2499]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18977,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18976]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2495,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12581_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18968,plain,
% 41.86/42.00      ( c_HOL_Oabs(c_0,X0) = c_0
% 41.86/42.00      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2495]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18969,plain,
% 41.86/42.00      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.00      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18968]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2493,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12582_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18964,plain,
% 41.86/42.00      ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 41.86/42.00      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2493]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18965,plain,
% 41.86/42.00      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.00      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18964]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2489,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12584_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18956,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2489]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18957,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.00      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18956]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2487,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12585_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18952,plain,
% 41.86/42.00      ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2487]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18953,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.00      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18952]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2483,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12587_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18944,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_1,X0) = c_1
% 41.86/42.00      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2483]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18945,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.00      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18944]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2481,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12588_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18940,plain,
% 41.86/42.00      ( c_IntDef_Oof__int(c_0,X0) = c_0
% 41.86/42.00      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2481]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18941,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.00      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18940]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2479,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_set(X0))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12597_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18936,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_set(X0))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2479]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2477,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12598_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18932,plain,
% 41.86/42.00      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 41.86/42.00      | ~ class_Finite__Set_Ofinite(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2477]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2475,plain,
% 41.86/42.00      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12602_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18928,plain,
% 41.86/42.00      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2475]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18929,plain,
% 41.86/42.00      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18928]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2473,plain,
% 41.86/42.00      ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12603_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18924,plain,
% 41.86/42.00      ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2473]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18925,plain,
% 41.86/42.00      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18924]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2471,plain,
% 41.86/42.00      ( class_Orderings_Olinorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12639_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18920,plain,
% 41.86/42.00      ( class_Orderings_Olinorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2471]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2469,plain,
% 41.86/42.00      ( class_LOrder_Olorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12640_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18916,plain,
% 41.86/42.00      ( class_LOrder_Olorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2469]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2467,plain,
% 41.86/42.00      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12641_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18912,plain,
% 41.86/42.00      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2467]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2465,plain,
% 41.86/42.00      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12642_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18908,plain,
% 41.86/42.00      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2465]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2463,plain,
% 41.86/42.00      ( class_Orderings_Oorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12643_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18904,plain,
% 41.86/42.00      ( class_Orderings_Oorder(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2463]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2461,plain,
% 41.86/42.00      ( class_Orderings_Oord(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12644_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18900,plain,
% 41.86/42.00      ( class_Orderings_Oord(X0)
% 41.86/42.00      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2461]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2459,plain,
% 41.86/42.00      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12645_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18896,plain,
% 41.86/42.00      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2459]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2457,plain,
% 41.86/42.00      ( class_HOL_Oplus(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12646_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18892,plain,
% 41.86/42.00      ( class_HOL_Oplus(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2457]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2455,plain,
% 41.86/42.00      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12647_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18888,plain,
% 41.86/42.00      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2455]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18889,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.00      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.00      inference(rewriting,[status(thm)],[c_18888]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_2453,plain,
% 41.86/42.00      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12648_1) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18884,plain,
% 41.86/42.00      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.00      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.00      inference(copy,[status(esa)],[c_2453]) ).
% 41.86/42.00  
% 41.86/42.00  cnf(c_18885,plain,
% 41.86/42.00      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18884]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2451,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12649_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18880,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2451]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18881,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18880]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2449,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12650_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18876,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2449]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2447,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12651_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18872,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2447]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2445,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12652_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18868,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2445]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2443,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12653_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18864,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2443]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2441,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12654_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18860,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2441]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2439,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12655_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18856,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2439]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2437,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12656_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18852,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2437]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18853,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18852]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2435,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12657_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18848,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2435]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18849,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18848]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2433,plain,
% 41.86/42.01      ( class_HOL_Oone(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12658_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18844,plain,
% 41.86/42.01      ( class_HOL_Oone(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2433]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2431,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12659_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18840,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2431]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2429,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12660_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18836,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2429]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2427,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12661_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18832,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2427]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18833,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18832]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2425,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12662_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18828,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2425]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18829,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18828]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2423,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12663_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18824,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2423]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2421,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12664_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18820,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2421]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18821,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18820]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2419,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12665_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18816,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2419]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18817,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18816]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2417,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12666_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18812,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2417]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2415,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12667_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18808,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2415]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2413,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12668_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18804,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2413]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2411,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12669_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18800,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2411]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2409,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12670_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18796,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2409]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2407,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12671_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18792,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2407]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18793,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18792]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2405,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12672_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18788,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2405]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2403,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12673_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18784,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2403]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2401,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12674_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18780,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2401]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18781,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18780]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2399,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12675_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18776,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2399]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18777,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_HOL_Oplus(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18776]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2397,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12676_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18772,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2397]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18773,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18772]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2395,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12677_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18768,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2395]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18769,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18768]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2393,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12678_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18764,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2393]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2391,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12679_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18760,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2391]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18761,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18760]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2389,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12680_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18756,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2389]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18757,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18756]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2387,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12681_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18752,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2387]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2385,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12682_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18748,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2385]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2383,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12683_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18744,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2383]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2381,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12684_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18740,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2381]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18741,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18740]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2379,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12685_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18736,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2379]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2377,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12686_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18732,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2377]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18733,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18732]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2375,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12687_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18728,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2375]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18729,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18728]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2373,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12688_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18724,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2373]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18725,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18724]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2371,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12689_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18720,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2371]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18721,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18720]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2369,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12690_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18716,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2369]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18717,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18716]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2367,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12691_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18712,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2367]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2365,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12692_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18708,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2365]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18709,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18708]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2363,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12693_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18704,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2363]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18705,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18704]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2361,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12694_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18700,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2361]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18701,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18700]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2359,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12695_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18696,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2359]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18697,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18696]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2357,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12696_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18692,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2357]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18693,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18692]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2355,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12697_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18688,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2355]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18689,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18688]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2353,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12698_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18684,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2353]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18685,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18684]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2351,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12699_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18680,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2351]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2349,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12700_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18676,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2349]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2347,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12701_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18672,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2347]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2345,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12702_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18668,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2345]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2343,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12703_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18664,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2343]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2341,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12704_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18660,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2341]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2339,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12705_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18656,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2339]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2337,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12706_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18652,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2337]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2335,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12707_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18648,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2335]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2333,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12708_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18644,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2333]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2331,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12709_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18640,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2331]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2329,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12710_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18636,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2329]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18637,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18636]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2327,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12711_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18632,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2327]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2325,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12712_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18628,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2325]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18629,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18628]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2323,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12713_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18624,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2323]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18625,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring__1(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18624]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2321,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12714_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18620,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2321]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2319,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12715_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18616,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2319]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2317,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12716_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18612,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2317]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2315,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12717_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18608,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2315]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18609,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18608]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2313,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12718_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18604,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2313]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2311,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12719_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18600,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2311]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2309,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12720_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18596,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2309]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2307,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12721_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18592,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2307]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18593,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18592]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2305,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12722_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18588,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2305]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18589,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18588]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2303,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12723_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18584,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2303]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18585,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18584]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2301,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12724_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18580,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2301]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18581,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18580]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2299,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12725_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18576,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2299]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2297,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12726_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18572,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2297]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2295,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12727_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18568,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2295]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2293,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12728_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18564,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2293]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2291,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12729_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18560,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2291]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18561,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18560]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2289,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12730_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18556,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2289]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2287,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12731_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18552,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2287]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2285,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12732_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18548,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2285]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2283,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12733_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18544,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2283]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2281,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12734_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18540,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2281]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18541,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18540]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2279,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12735_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18536,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2279]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18537,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18536]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2277,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12736_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18532,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2277]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2275,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12737_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18528,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2275]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2273,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12738_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18524,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2273]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18525,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18524]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2271,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12739_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18520,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2271]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18521,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18520]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2269,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12740_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18516,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2269]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2267,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12741_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18512,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2267]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2265,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12742_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18508,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2265]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2263,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12743_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18504,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2263]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2261,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12744_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18500,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2261]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18501,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18500]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2259,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12745_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18496,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2259]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2257,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12746_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18492,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2257]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2255,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12747_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18488,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2255]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2253,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12748_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18484,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2253]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2251,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12749_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18480,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2251]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2249,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12750_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18476,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2249]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2247,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12751_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18472,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2247]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2245,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12752_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18468,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2245]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2243,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12753_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18464,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2243]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2241,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12754_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18460,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2241]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2239,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12755_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18456,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2239]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18457,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18456]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2237,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12756_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18452,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2237]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2235,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12757_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18448,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2235]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2233,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12758_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18444,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2233]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2231,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12759_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18440,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2231]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2229,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12760_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18436,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2229]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2227,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12761_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18432,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2227]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18433,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18432]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2225,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12762_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18428,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2225]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18429,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18428]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2223,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12763_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18424,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2223]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2221,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12764_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18420,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2221]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2219,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12765_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18416,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2219]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2217,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12766_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18412,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2217]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18413,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18412]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2215,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12767_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18408,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2215]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18409,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18408]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2213,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12768_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18404,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2213]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2211,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12769_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18400,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2211]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2209,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12770_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18396,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2209]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18397,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18396]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2207,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12771_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18392,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2207]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2205,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12772_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18388,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2205]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2203,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12773_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18384,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2203]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18385,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18384]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2201,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12774_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18380,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2201]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2199,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12775_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18376,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2199]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18377,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18376]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2197,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12776_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18372,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2197]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2195,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12777_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18368,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2195]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2193,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12778_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18364,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2193]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2191,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12779_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18360,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2191]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2189,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12780_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18356,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2189]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2187,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12781_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18352,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2187]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2185,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12782_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18348,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2185]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2183,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12783_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18344,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2183]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2181,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12784_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18340,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2181]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2179,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12785_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18336,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2179]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2177,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12786_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18332,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2177]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2175,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12787_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18328,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2175]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2173,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12788_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18324,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2173]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2171,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12789_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18320,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2171]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2169,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12790_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18316,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2169]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2167,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12791_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18312,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2167]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2165,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12792_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18308,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2165]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2163,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12793_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18304,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2163]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2161,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12794_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18300,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2161]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2159,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12795_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18296,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2159]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2157,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12796_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18292,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2157]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2155,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12797_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18288,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2155]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2153,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12798_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18284,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2153]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2151,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12799_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18280,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2151]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2149,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12800_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18276,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2149]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2147,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12801_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18272,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2147]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2145,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12802_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18268,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2145]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2143,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12803_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18264,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2143]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2141,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12804_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18260,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2141]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2139,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12805_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18256,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2139]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2137,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12806_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18252,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2137]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2135,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12807_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18248,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2135]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18249,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18248]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2133,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12808_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18244,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2133]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18245,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18244]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2131,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12809_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18240,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2131]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2129,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12810_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18236,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2129]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2127,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12811_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18232,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2127]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2125,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12812_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18228,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2125]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2123,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12813_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18224,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2123]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18225,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18224]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2121,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12814_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18220,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2121]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2119,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12815_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18216,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2119]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2117,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12816_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18212,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2117]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2115,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12817_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18208,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2115]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2113,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12818_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18204,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2113]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18205,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18204]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2111,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12819_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18200,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2111]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2109,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12820_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18196,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2109]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2107,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12821_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18192,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2107]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2105,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12822_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18188,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2105]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2103,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12823_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18184,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2103]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2101,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12824_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18180,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2101]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2099,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12825_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18176,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2099]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2097,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12826_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18172,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2097]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18173,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18172]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2095,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12827_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18168,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2095]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2093,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12828_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18164,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2093]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2091,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12829_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18160,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2091]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18161,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18160]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2089,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12830_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18156,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2089]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2087,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12831_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18152,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2087]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2085,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12832_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18148,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2085]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2083,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12833_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18144,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2083]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2081,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12834_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18140,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2081]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2079,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12835_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18136,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2079]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2077,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12836_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18132,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2077]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18133,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18132]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2075,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12837_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18128,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2075]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2073,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12838_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18124,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2073]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2071,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12839_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18120,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2071]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18121,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18120]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2069,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12840_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18116,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2069]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18117,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18116]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2067,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12841_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18112,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2067]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2065,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12842_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18108,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2065]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2063,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12843_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18104,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2063]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2061,plain,
% 41.86/42.01      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12844_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18100,plain,
% 41.86/42.01      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2061]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2059,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12845_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18096,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2059]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2057,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12846_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18092,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2057]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2055,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12847_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18088,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2055]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18089,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18088]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2053,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12848_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18084,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2053]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18085,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18084]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2051,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12849_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18080,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2051]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2049,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12850_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18076,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2049]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2047,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12851_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18072,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2047]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2045,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12852_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18068,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2045]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2043,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12853_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18064,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2043]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2041,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12854_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18060,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2041]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2039,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12855_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18056,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2039]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18057,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18056]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2037,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12856_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18052,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2037]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2035,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12857_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18048,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2035]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18049,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | class_Orderings_Oord(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_18048]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2033,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12858_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18044,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2033]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2031,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12859_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18040,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2031]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2029,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12860_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18036,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2029]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2027,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12861_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18032,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2027]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2025,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12862_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18028,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2025]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2023,plain,
% 41.86/42.01      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12863_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18024,plain,
% 41.86/42.01      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2023]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2021,plain,
% 41.86/42.01      ( class_LOrder_Olorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12864_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18020,plain,
% 41.86/42.01      ( class_LOrder_Olorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2021]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2019,plain,
% 41.86/42.01      ( class_Orderings_Olinorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12865_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18016,plain,
% 41.86/42.01      ( class_Orderings_Olinorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2019]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2017,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12866_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18012,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2017]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2015,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12867_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18008,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2015]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2013,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12868_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18004,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2013]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2011,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12869_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_18000,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2011]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2009,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12870_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17996,plain,
% 41.86/42.01      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2009]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2007,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12871_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17992,plain,
% 41.86/42.01      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2007]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2005,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12872_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17988,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2005]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2003,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12873_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17984,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2003]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_2001,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12874_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17980,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_2001]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1999,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12875_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17976,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1999]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1997,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12876_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17972,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1997]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1995,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12877_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17968,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1995]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1993,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12878_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17964,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1993]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1991,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12879_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17960,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1991]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1989,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12880_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17956,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1989]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1987,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12881_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17952,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1987]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1985,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12882_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17948,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1985]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1983,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12883_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17944,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1983]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1981,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12884_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17940,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1981]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1979,plain,
% 41.86/42.01      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12885_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17936,plain,
% 41.86/42.01      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1979]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1977,plain,
% 41.86/42.01      ( class_LOrder_Olorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12886_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17932,plain,
% 41.86/42.01      ( class_LOrder_Olorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1977]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1975,plain,
% 41.86/42.01      ( class_Orderings_Olinorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12887_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17928,plain,
% 41.86/42.01      ( class_Orderings_Olinorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1975]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1973,plain,
% 41.86/42.01      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12888_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17924,plain,
% 41.86/42.01      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1973]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1971,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12889_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17920,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1971]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1969,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12890_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17916,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1969]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1967,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12891_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17912,plain,
% 41.86/42.01      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1967]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1965,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12892_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17908,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1965]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17909,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_17908]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1963,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12893_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17904,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1963]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1961,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12894_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17900,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1961]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17901,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_17900]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1959,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12895_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17896,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1959]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1957,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12896_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17892,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1957]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1955,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12897_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17888,plain,
% 41.86/42.01      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1955]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1953,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12898_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17884,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1953]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1951,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12899_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17880,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1951]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1949,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12900_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17876,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1949]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17877,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_17876]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1947,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12901_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17872,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1947]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1945,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12902_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17868,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1945]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1943,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12903_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17864,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1943]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1941,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12904_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17860,plain,
% 41.86/42.01      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1941]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17861,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.01      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_17860]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1939,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12905_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17856,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1939]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1937,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12906_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17852,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1937]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1935,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12907_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17848,plain,
% 41.86/42.01      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1935]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1933,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12908_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17844,plain,
% 41.86/42.01      ( class_HOL_Otimes(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1933]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1931,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12909_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17840,plain,
% 41.86/42.01      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1931]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17841,plain,
% 41.86/42.01      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.01      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.01      inference(rewriting,[status(thm)],[c_17840]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1929,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12910_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17836,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1929]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1927,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12911_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17832,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1927]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1925,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12912_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17828,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1925]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1923,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12913_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17824,plain,
% 41.86/42.01      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1923]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1921,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12914_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17820,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1921]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1919,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12915_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17816,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1919]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1917,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12916_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17812,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1917]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1915,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12917_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17808,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1915]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1913,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12918_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17804,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1913]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1911,plain,
% 41.86/42.01      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12919_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17800,plain,
% 41.86/42.01      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1911]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1909,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12920_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17796,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1909]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1907,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12921_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17792,plain,
% 41.86/42.01      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1907]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1905,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12922_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17788,plain,
% 41.86/42.01      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1905]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1903,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12923_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17784,plain,
% 41.86/42.01      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1903]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1901,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12924_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17780,plain,
% 41.86/42.01      ( class_Orderings_Oord(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1901]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1899,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12925_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17776,plain,
% 41.86/42.01      ( class_Orderings_Oorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1899]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1897,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12926_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17772,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1897]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1895,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12927_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17768,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1895]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1893,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12928_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17764,plain,
% 41.86/42.01      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1893]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1891,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12929_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17760,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1891]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1889,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12930_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17756,plain,
% 41.86/42.01      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1889]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1887,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12931_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17752,plain,
% 41.86/42.01      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      inference(copy,[status(esa)],[c_1887]) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_1885,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.01      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12932_1) ).
% 41.86/42.01  
% 41.86/42.01  cnf(c_17748,plain,
% 41.86/42.01      ( class_HOL_Ominus(X0)
% 41.86/42.01      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1885]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1883,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12933_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17744,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1883]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1881,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12934_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17740,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1881]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1879,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12935_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17736,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1879]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1877,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12936_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17732,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1877]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1875,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12937_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17728,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1875]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1873,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12938_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17724,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1873]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1871,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12939_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17720,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1871]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1869,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12940_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17716,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1869]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17717,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17716]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1867,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12941_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17712,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1867]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17713,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17712]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1865,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12942_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17708,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1865]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1863,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12943_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17704,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1863]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1861,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12944_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17700,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1861]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1859,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12945_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17696,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1859]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1857,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12946_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17692,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1857]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1855,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12947_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17688,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1855]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1853,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12948_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17684,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1853]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1851,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12949_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17680,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1851]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1849,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12950_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17676,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1849]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1847,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12951_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17672,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1847]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1845,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12952_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17668,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1845]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1843,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12953_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17664,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1843]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1841,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12954_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17660,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1841]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1839,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12955_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17656,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1839]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1837,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12956_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17652,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1837]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1835,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12957_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17648,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1835]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1833,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12958_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17644,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1833]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1831,plain,
% 41.86/42.02      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12959_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17640,plain,
% 41.86/42.02      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1831]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1829,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12960_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17636,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1829]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1827,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12961_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17632,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1827]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1825,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12962_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17628,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1825]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1823,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12963_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17624,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1823]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1821,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12964_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17620,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1821]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1819,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12965_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17616,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1819]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1817,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12966_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17612,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1817]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1815,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12967_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17608,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1815]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1813,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12968_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17604,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1813]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1811,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12969_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17600,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1811]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1809,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12970_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17596,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1809]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1807,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12971_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17592,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1807]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1805,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12972_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17588,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1805]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1803,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12973_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17584,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1803]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1801,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12974_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17580,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1801]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1799,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12975_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17576,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1799]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1797,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12976_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17572,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1797]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1795,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12977_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17568,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1795]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1793,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12978_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17564,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1793]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1791,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12979_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17560,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1791]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1789,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12980_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17556,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1789]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1787,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12981_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17552,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1787]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17553,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17552]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1785,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12982_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17548,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1785]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1783,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12983_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17544,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1783]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17545,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17544]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1781,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12984_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17540,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1781]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1779,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12985_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17536,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1779]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1777,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12986_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17532,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1777]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1775,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12987_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17528,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1775]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1773,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12988_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17524,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1773]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17525,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17524]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1771,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12989_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17520,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1771]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1769,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12990_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17516,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1769]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1767,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12991_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17512,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1767]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1765,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12992_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17508,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1765]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1763,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12993_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17504,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1763]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17505,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17504]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1761,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12994_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17500,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1761]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1759,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12995_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17496,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1759]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1757,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12996_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17492,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1757]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1755,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12997_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17488,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1755]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1753,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12998_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17484,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1753]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1751,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12999_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17480,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1751]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1749,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13000_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17476,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1749]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1747,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13001_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17472,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1747]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1745,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13002_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17468,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1745]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1743,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13003_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17464,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1743]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1741,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13004_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17460,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1741]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1739,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13005_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17456,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1739]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1737,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13006_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17452,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1737]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1735,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13007_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17448,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1735]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1733,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13008_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17444,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1733]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1731,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13009_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17440,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1731]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1729,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13010_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17436,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1729]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1727,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13011_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17432,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1727]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1725,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13012_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17428,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1725]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1723,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13013_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17424,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1723]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1721,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13014_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17420,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1721]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1719,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13015_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17416,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1719]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1717,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13016_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17412,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1717]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1715,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13017_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17408,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1715]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1713,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13018_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17404,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1713]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1711,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13019_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17400,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1711]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1709,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13020_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17396,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1709]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1707,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13021_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17392,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1707]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1705,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13022_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17388,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1705]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1703,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13023_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17384,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1703]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1701,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13024_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17380,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1701]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1699,plain,
% 41.86/42.02      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13025_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17376,plain,
% 41.86/42.02      ( class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1699]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1697,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13026_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17372,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1697]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1695,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13027_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17368,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1695]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1693,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13028_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17364,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1693]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1691,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13029_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17360,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1691]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1689,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13030_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17356,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1689]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1687,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13031_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17352,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1687]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1685,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13032_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17348,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1685]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1683,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13033_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17344,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1683]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1681,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13034_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17340,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1681]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1679,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13035_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17336,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__idom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1679]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1677,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13036_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17332,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1677]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1675,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13037_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17328,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1675]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1673,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13038_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17324,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1673]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1671,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13039_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17320,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1671]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1669,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13040_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17316,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1669]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1667,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13041_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17312,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1667]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1665,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13042_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17308,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1665]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1663,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13043_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17304,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1663]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1661,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13044_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17300,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1661]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1659,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13045_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17296,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1659]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1657,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13046_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17292,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1657]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1655,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13047_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17288,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1655]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1653,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13048_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17284,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1653]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1651,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13049_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17280,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1651]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1649,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13050_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17276,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1649]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1647,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13051_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17272,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1647]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1645,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13052_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17268,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1645]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1643,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13053_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17264,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1643]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1641,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13054_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17260,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1641]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1639,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13055_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17256,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1639]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1637,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13056_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17252,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1637]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1635,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13057_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17248,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1635]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1633,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13058_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17244,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1633]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1631,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13059_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17240,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1631]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1629,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13060_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17236,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1629]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1627,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13061_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17232,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1627]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1625,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13062_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17228,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1625]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1623,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ofield(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13063_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17224,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ofield(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1623]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1621,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13064_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17220,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1621]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17221,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17220]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1619,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13065_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17216,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1619]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17217,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17216]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1617,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13066_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17212,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1617]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1615,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13067_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17208,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1615]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1613,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13068_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17204,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1613]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17205,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17204]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1611,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13069_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17200,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1611]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1609,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13070_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17196,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1609]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1607,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13071_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17192,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1607]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1605,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13072_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17188,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1605]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1603,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13073_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17184,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1603]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1601,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13074_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17180,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1601]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1599,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13075_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17176,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1599]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1597,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13076_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17172,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1597]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1595,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13077_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17168,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1595]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1593,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13078_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17164,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1593]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1591,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13079_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17160,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1591]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17161,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | class_Orderings_Oord(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17160]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1589,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13080_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17156,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1589]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1587,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13081_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17152,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1587]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17153,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17152]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1585,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13082_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17148,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1585]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1583,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13083_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17144,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1583]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1581,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13084_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17140,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1581]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1579,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13085_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17136,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1579]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1577,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13086_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17132,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1577]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1575,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13087_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17128,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1575]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1573,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13088_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17124,plain,
% 41.86/42.02      ( class_Orderings_Olinorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1573]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1571,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13089_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17120,plain,
% 41.86/42.02      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1571]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1569,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13090_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17116,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1569]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1567,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13091_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17112,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1567]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1565,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13092_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17108,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1565]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1563,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13093_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17104,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1563]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1561,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13094_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17100,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1561]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1559,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13095_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17096,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1559]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1557,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13096_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17092,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1557]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1555,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13097_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17088,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1555]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1553,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13098_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17084,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1553]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1551,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13099_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17080,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1551]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1549,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13100_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17076,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1549]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1547,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13101_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17072,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1547]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1545,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13102_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17068,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1545]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1543,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13103_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17064,plain,
% 41.86/42.02      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1543]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1541,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13104_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17060,plain,
% 41.86/42.02      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1541]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1539,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13105_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17056,plain,
% 41.86/42.02      ( class_LOrder_Olorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1539]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1537,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13106_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17052,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1537]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1535,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13107_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17048,plain,
% 41.86/42.02      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1535]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1533,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13108_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17044,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1533]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1531,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13109_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17040,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1531]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17041,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17040]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1529,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13110_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17036,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1529]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1527,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13111_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17032,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1527]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17033,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17032]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1525,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13112_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17028,plain,
% 41.86/42.02      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1525]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1523,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13113_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17024,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1523]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1521,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13114_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17020,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1521]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1519,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13115_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17016,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1519]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1517,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13116_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17012,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1517]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1515,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13117_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17008,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1515]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17009,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_17008]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1513,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13118_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17004,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1513]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1511,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13119_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_17000,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1511]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1509,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13120_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16996,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1509]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1507,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13121_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16992,plain,
% 41.86/42.02      ( class_Orderings_Oord(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1507]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1505,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13122_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16988,plain,
% 41.86/42.02      ( class_Orderings_Oorder(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1505]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1503,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13123_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16984,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1503]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1501,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13124_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16980,plain,
% 41.86/42.02      ( class_Ring__and__Field_Opordered__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1501]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1499,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13125_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16976,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1499]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1497,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13126_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16972,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1497]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1495,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13127_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16968,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1495]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1493,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13128_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16964,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1493]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1491,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13129_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16960,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1491]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1489,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13130_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16956,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1489]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1487,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13131_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16952,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1487]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1485,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13132_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16948,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1485]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1483,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13133_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16944,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1483]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1481,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13134_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16940,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1481]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16941,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16940]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1479,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13135_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16936,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1479]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1477,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13136_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16932,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1477]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16933,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16932]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1475,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13137_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16928,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1475]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1473,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13138_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16924,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1473]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1471,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13139_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16920,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1471]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1469,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13140_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16916,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1469]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1467,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13141_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16912,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1467]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16913,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16912]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1465,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13142_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16908,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1465]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1463,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13143_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16904,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1463]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1461,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13144_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16900,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1461]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1459,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13145_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16896,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1459]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1457,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13146_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16892,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1457]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16893,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16892]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1455,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13147_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16888,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1455]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1453,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13148_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16884,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1453]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1451,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13149_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16880,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1451]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1449,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13150_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16876,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1449]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1447,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13151_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16872,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1447]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1445,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13152_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16868,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1445]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1443,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13153_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16864,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1443]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1441,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13154_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16860,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1441]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1439,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13155_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16856,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Oidom(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1439]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1437,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13156_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16852,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1437]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1435,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13157_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16848,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1435]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1433,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13158_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16844,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1433]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1431,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13159_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16840,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1431]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1429,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13160_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16836,plain,
% 41.86/42.02      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1429]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1427,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13161_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16832,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1427]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1425,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13162_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16828,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1425]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1423,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13163_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16824,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oidom(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1423]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1421,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13164_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16820,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1421]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1419,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13165_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16816,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1419]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1417,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13166_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16812,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1417]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1415,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13167_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16808,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1415]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1413,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13168_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16804,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1413]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1411,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13169_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16800,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1411]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1409,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13170_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16796,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1409]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1407,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13171_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16792,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1407]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1405,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13172_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16788,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1405]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1403,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13173_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16784,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1403]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1401,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13174_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16780,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1401]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1399,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13175_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16776,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1399]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1397,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13176_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16772,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1397]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1395,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13177_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16768,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1395]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1393,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13178_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16764,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1393]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1391,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13179_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16760,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1391]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1389,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13180_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16756,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1389]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1387,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13181_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16752,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1387]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1385,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13182_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16748,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1385]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1383,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13183_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16744,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1383]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1381,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13184_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16740,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1381]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1379,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13185_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16736,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1379]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1377,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13186_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16732,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1377]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1375,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13187_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16728,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1375]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1373,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13188_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16724,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ofield(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1373]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1371,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13189_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16720,plain,
% 41.86/42.02      ( class_HOL_Oinverse(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1371]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16721,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 41.86/42.02      | class_HOL_Oinverse(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16720]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1369,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13190_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16716,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1369]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1367,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13191_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16712,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1367]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1365,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13192_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16708,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1365]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1363,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13193_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16704,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1363]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1361,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13194_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16700,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1361]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1359,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13195_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16696,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1359]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1357,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13196_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16692,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1357]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16693,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16692]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1355,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13197_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16688,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1355]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1353,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13198_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16684,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1353]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1351,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13199_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16680,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1351]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1349,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13200_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16676,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1349]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1347,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13201_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16672,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1347]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1345,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13202_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16668,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1345]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1343,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13203_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16664,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1343]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1341,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13204_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16660,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1341]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16661,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_HOL_Otimes(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16660]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1339,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13205_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16656,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1339]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16657,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16656]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1337,plain,
% 41.86/42.02      ( class_HOL_Oone(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13206_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16652,plain,
% 41.86/42.02      ( class_HOL_Oone(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1337]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1335,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13207_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16648,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1335]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1333,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13208_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16644,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1333]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1331,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13209_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16640,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1331]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16641,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16640]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1329,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13210_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16636,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1329]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16637,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16636]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1327,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13211_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16632,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1327]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16633,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.02      | class_HOL_Ozero(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16632]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1325,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13212_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16628,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1325]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1323,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13213_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16624,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1323]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1321,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13214_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16620,plain,
% 41.86/42.02      ( class_HOL_Otimes(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1321]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16621,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | class_HOL_Otimes(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16620]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1319,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13215_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16616,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1319]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16617,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16616]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1317,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13216_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16612,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1317]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1315,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13217_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16608,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1315]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1313,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13218_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16604,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1313]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16605,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16604]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1311,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13219_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16600,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1311]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1309,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13220_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16596,plain,
% 41.86/42.02      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1309]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1307,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13221_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16592,plain,
% 41.86/42.02      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1307]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1305,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13222_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16588,plain,
% 41.86/42.02      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1305]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1303,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13223_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16584,plain,
% 41.86/42.02      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1303]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1301,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13224_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16580,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1301]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1299,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13225_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16576,plain,
% 41.86/42.02      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1299]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1297,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13226_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16572,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1297]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16573,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16572]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1295,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13227_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16568,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1295]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16569,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16568]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1293,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13228_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16564,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1293]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1291,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13229_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16560,plain,
% 41.86/42.02      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1291]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16561,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16560]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1289,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13230_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16556,plain,
% 41.86/42.02      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1289]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1287,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13231_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16552,plain,
% 41.86/42.02      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1287]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16553,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16552]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1285,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13232_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16548,plain,
% 41.86/42.02      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1285]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16549,plain,
% 41.86/42.02      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.02      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.02      inference(rewriting,[status(thm)],[c_16548]) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_1283,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13233_1) ).
% 41.86/42.02  
% 41.86/42.02  cnf(c_16544,plain,
% 41.86/42.02      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.02      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.02      inference(copy,[status(esa)],[c_1283]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1281,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13234_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16540,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1281]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16541,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16540]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1279,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13235_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16536,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1279]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16537,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16536]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1277,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13236_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16532,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1277]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1275,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13237_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16528,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1275]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1273,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13238_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16524,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1273]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16525,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16524]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1271,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13239_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16520,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1271]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1269,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13240_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16516,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1269]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1267,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13241_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16512,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1267]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1265,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13242_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16508,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1265]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16509,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16508]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1263,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13243_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16504,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1263]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1261,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13244_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16500,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1261]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1259,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13245_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16496,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1259]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1257,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13246_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16492,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1257]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16493,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16492]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1255,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13247_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16488,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1255]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1253,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13248_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16484,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1253]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16485,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16484]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1251,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13249_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16480,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1251]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16481,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16480]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1249,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13250_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16476,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1249]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16477,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16476]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1247,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13251_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16472,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1247]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16473,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16472]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1245,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13252_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16468,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1245]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16469,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16468]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1243,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13253_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16464,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1243]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1241,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13254_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16460,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1241]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1239,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13255_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16456,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1239]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16457,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16456]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1237,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13256_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16452,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1237]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1235,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13257_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16448,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1235]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1233,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13258_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16444,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1233]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16445,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16444]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1231,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13259_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16440,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1231]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16441,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16440]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1229,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13260_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16436,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1229]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16437,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16436]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1227,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13261_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16432,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1227]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16433,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16432]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1225,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13262_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16428,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1225]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16429,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16428]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1223,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13263_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16424,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1223]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16425,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16424]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1221,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13264_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16420,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1221]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1219,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13265_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16416,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1219]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1217,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13266_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16412,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1217]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16413,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16412]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1215,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13267_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16408,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1215]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1213,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13268_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16404,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1213]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1211,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13269_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16400,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1211]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1209,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13270_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16396,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1209]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1207,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13271_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16392,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1207]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1205,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13272_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16388,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1205]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1203,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13273_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16384,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1203]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1201,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13274_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16380,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1201]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1199,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13275_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16376,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1199]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1197,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13276_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16372,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1197]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1195,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13277_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16368,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1195]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1193,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13278_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16364,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1193]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1191,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13279_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16360,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1191]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1189,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13280_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16356,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1189]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1187,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13281_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16352,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1187]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1185,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13282_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16348,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1185]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16349,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16348]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1183,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13283_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16344,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1183]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1181,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13284_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16340,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1181]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16341,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16340]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1179,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13285_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16336,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1179]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1177,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13286_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16332,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1177]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16333,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16332]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1175,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13287_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16328,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1175]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1173,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13288_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16324,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1173]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1171,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13289_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16320,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1171]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16321,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16320]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1169,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13290_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16316,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1169]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1167,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13291_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16312,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1167]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1165,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13292_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16308,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1165]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1163,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13293_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16304,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1163]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16305,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16304]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1161,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13294_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16300,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1161]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16301,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16300]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1159,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13295_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16296,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1159]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1157,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13296_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16292,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1157]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16293,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16292]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1155,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13297_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16288,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1155]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16289,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16288]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1153,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13298_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16284,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1153]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1151,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13299_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16280,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1151]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1149,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13300_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16276,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1149]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16277,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16276]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1147,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13301_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16272,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1147]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1145,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13302_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16268,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1145]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1143,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13303_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16264,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1143]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1141,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13304_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16260,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1141]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1139,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13305_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16256,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1139]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1137,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13306_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16252,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1137]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1135,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13307_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16248,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1135]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1133,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13308_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16244,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1133]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16245,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16244]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1131,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13309_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16240,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1131]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1129,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13310_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16236,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1129]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1127,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13311_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16232,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1127]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1125,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13312_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16228,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1125]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1123,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13313_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16224,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1123]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1121,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13314_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16220,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1121]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1119,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13315_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16216,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1119]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16217,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16216]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1117,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13316_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16212,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1117]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1115,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13317_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16208,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1115]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1113,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13318_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16204,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1113]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16205,plain,
% 41.86/42.03      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.03      | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16204]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1111,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13319_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16200,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1111]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16201,plain,
% 41.86/42.03      ( ~ class_Power_Orecpower(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16200]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1109,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13320_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16196,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1109]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16197,plain,
% 41.86/42.03      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16196]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1107,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13321_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16192,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1107]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1105,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13322_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16188,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1105]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16189,plain,
% 41.86/42.03      ( ~ class_Power_Orecpower(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16188]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1103,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13323_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16184,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1103]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1101,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13324_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16180,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1101]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1099,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13325_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16176,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1099]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1097,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13326_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16172,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1097]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1095,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13327_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16168,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1095]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1093,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13328_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16164,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1093]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1091,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13329_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16160,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1091]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1089,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13330_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16156,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1089]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1087,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13331_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16152,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1087]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1085,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13332_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16148,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1085]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1083,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13333_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16144,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1083]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1081,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13334_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16140,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1081]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1079,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13335_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16136,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1079]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1077,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13336_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16132,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1077]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1075,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13337_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16128,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1075]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1073,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13338_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16124,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1073]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1071,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13339_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16120,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1071]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1069,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13340_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16116,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1069]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1067,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13341_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16112,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1067]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1065,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13342_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16108,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1065]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1063,plain,
% 41.86/42.03      ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13343_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16104,plain,
% 41.86/42.03      ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1063]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1061,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13344_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16100,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1061]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16101,plain,
% 41.86/42.03      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16100]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1059,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13345_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16096,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1059]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1057,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13346_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16092,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1057]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16093,plain,
% 41.86/42.03      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16092]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1055,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13347_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16088,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1055]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1053,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13348_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16084,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1053]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1051,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13349_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16080,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1051]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1049,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13350_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16076,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1049]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1047,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13351_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16072,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1047]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1045,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13352_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16068,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1045]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1043,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13353_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16064,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1043]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1041,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13354_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16060,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1041]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1039,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13355_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16056,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1039]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16057,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16056]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1037,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13356_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16052,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1037]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16053,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16052]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1035,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13357_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16048,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1035]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16049,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16048]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1033,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13358_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16044,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1033]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1031,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13359_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16040,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1031]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1029,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13360_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16036,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1029]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1027,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13361_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16032,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1027]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16033,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16032]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1025,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13362_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16028,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1025]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1023,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13363_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16024,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1023]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16025,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16024]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1021,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13364_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16020,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1021]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1019,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13365_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16016,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1019]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16017,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_16016]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1017,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13366_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16012,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1017]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1015,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13367_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16008,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1015]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1013,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13368_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16004,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1013]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1011,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13369_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_16000,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1011]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1009,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13370_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15996,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1009]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15997,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15996]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1007,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13371_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15992,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1007]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15993,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15992]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1005,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13372_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15988,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1005]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15989,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15988]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1003,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13373_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15984,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1003]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_1001,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13374_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15980,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_1001]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_999,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13375_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15976,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_999]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_997,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13376_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15972,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_997]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15973,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15972]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_995,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13377_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15968,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_995]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_993,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13378_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15964,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_993]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15965,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15964]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_991,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13379_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15960,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_991]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_989,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13380_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15956,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_989]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_987,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13381_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15952,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_987]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_985,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13382_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15948,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_985]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_983,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13383_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15944,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_983]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_981,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13384_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15940,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_981]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15941,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15940]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_979,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13385_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15936,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_979]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_977,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13386_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15932,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_977]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_975,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13387_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15928,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_975]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_973,plain,
% 41.86/42.03      ( class_Orderings_Olinorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13388_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15924,plain,
% 41.86/42.03      ( class_Orderings_Olinorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_973]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_971,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13389_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15920,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_971]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_969,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13390_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15916,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_969]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15917,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15916]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_967,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13391_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15912,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_967]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_965,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13392_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15908,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_965]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15909,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15908]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_963,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13393_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15904,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_963]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_961,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13394_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15900,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_961]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15901,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15900]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_959,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13395_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15896,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_959]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_957,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13396_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15892,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_957]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_955,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13397_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15888,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_955]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_953,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13398_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15884,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_953]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_951,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13399_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15880,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_951]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_949,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13400_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15876,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_949]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_947,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13401_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15872,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_947]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_945,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13402_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15868,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_945]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15869,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15868]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_943,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13403_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15864,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_943]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15865,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15864]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_941,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13404_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15860,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_941]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_939,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13405_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15856,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_939]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_937,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13406_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15852,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_937]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_935,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13407_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15848,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_935]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_933,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13408_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15844,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_933]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_931,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13409_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15840,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_931]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_929,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13410_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15836,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_929]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_927,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13411_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15832,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_927]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_925,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13412_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15828,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_925]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_923,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13413_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15824,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_923]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_921,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13414_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15820,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_921]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_919,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13415_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15816,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_919]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_917,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13416_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15812,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_917]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_915,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13417_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15808,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_915]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_913,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13418_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15804,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_913]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15805,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15804]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_911,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13419_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15800,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_911]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_909,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13420_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15796,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_909]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15797,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15796]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_907,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13421_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15792,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_907]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_905,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13422_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15788,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_905]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_903,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13423_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15784,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_903]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_901,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13424_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15780,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_901]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_899,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13425_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15776,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_899]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_897,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13426_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15772,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_897]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_895,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13427_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15768,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_895]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_893,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13428_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15764,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_893]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_891,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13429_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15760,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_891]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_889,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13430_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15756,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_889]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_887,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13431_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15752,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_887]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_885,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13432_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15748,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_885]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_883,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13433_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15744,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_883]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_881,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13434_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15740,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_881]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_879,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13435_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15736,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_879]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_877,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13436_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15732,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_877]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_875,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13437_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15728,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_875]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15729,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15728]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_873,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13438_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15724,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_873]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_871,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13439_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15720,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_871]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15721,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15720]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_869,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13440_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15716,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_869]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_867,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13441_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15712,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_867]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_865,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13442_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15708,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_865]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_863,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13443_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15704,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_863]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_861,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13444_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15700,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_861]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_859,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13445_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15696,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_859]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_857,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13446_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15692,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_857]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_855,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13447_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15688,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_855]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_853,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13448_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15684,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_853]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_851,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13449_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15680,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_851]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_849,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13450_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15676,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_849]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_847,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13451_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15672,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_847]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_845,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13452_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15668,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_845]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_843,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13453_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15664,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_843]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_841,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13454_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15660,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_841]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_839,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13455_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15656,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_839]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_837,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13456_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15652,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_837]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_835,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13457_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15648,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_835]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15649,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15648]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_833,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13458_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15644,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_833]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_831,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13459_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15640,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_831]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15641,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15640]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_829,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13460_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15636,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_829]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_827,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13461_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15632,plain,
% 41.86/42.03      ( class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_827]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_825,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13462_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15628,plain,
% 41.86/42.03      ( class_Orderings_Oord(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_825]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15629,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | class_Orderings_Oord(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15628]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_823,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13463_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15624,plain,
% 41.86/42.03      ( class_Orderings_Oorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_823]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_821,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13464_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15620,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_821]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_819,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13465_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15616,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_819]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_817,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13466_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15612,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_817]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_815,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13467_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15608,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_815]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_813,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13468_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15604,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_813]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_811,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13469_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15600,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_811]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_809,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13470_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15596,plain,
% 41.86/42.03      ( class_LOrder_Omeet__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_809]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_807,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13471_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15592,plain,
% 41.86/42.03      ( class_LOrder_Ojoin__semilorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_807]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_805,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13472_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15588,plain,
% 41.86/42.03      ( class_LOrder_Olorder(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_805]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_803,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13473_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15584,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_803]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_801,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13474_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15580,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_801]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15581,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15580]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_799,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13475_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15576,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_799]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_797,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13476_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15572,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_797]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15573,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15572]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_795,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13477_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15568,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_795]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_793,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13478_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15564,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_793]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_791,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13479_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15560,plain,
% 41.86/42.03      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_791]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_789,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13480_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15556,plain,
% 41.86/42.03      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_789]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_787,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13481_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15552,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_787]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15553,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15552]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_785,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13482_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15548,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_785]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15549,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15548]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_783,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13483_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15544,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_783]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15545,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15544]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_781,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13484_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15540,plain,
% 41.86/42.03      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_781]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_779,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13485_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15536,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_779]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15537,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15536]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_777,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13486_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15532,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_777]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15533,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15532]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_775,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13487_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15528,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_775]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15529,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15528]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_773,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13488_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15524,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_773]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15525,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15524]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_771,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13489_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15520,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_771]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15521,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15520]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_769,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13490_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15516,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_769]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15517,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15516]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_767,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13491_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15512,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_767]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_765,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13492_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15508,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_765]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15509,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15508]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_763,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13493_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15504,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_763]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15505,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15504]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_761,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13494_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15500,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_761]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15501,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15500]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_759,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13495_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15496,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_759]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_757,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13496_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15492,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_757]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_755,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13497_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15488,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_755]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_753,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13498_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15484,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_753]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_751,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13499_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15480,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_751]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_749,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13500_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15476,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_749]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_747,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13501_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15472,plain,
% 41.86/42.03      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_747]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15473,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15472]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_745,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13502_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15468,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_745]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15469,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15468]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_743,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13503_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15464,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_743]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15465,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15464]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_741,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13504_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15460,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_741]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15461,plain,
% 41.86/42.03      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15460]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_739,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13505_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15456,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_739]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_737,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13506_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15452,plain,
% 41.86/42.03      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_737]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_735,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13507_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15448,plain,
% 41.86/42.03      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_735]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_733,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13508_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15444,plain,
% 41.86/42.03      ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_733]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_731,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13509_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15440,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_731]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_729,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13510_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15436,plain,
% 41.86/42.03      ( class_Ring__and__Field_Osemiring(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_729]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_727,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13511_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15432,plain,
% 41.86/42.03      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_727]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15433,plain,
% 41.86/42.03      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15432]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_725,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13512_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15428,plain,
% 41.86/42.03      ( class_OrderedGroup_Osemigroup__mult(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_725]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15429,plain,
% 41.86/42.03      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.03      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 41.86/42.03      inference(rewriting,[status(thm)],[c_15428]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_723,plain,
% 41.86/42.03      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13513_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15424,plain,
% 41.86/42.03      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_723]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_721,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13514_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15420,plain,
% 41.86/42.03      ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_721]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_719,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13515_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15416,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_719]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_717,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13516_1) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_15412,plain,
% 41.86/42.03      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      inference(copy,[status(esa)],[c_717]) ).
% 41.86/42.03  
% 41.86/42.03  cnf(c_715,plain,
% 41.86/42.03      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.03      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.03      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13517_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15408,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_715]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_713,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13518_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15404,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_713]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_711,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13519_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15400,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_711]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_709,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13520_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15396,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_709]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_707,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13521_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15392,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_707]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_705,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13522_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15388,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_705]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_703,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13523_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15384,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_703]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_701,plain,
% 41.86/42.04      ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13524_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15380,plain,
% 41.86/42.04      ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_701]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_699,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13525_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15376,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_699]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15377,plain,
% 41.86/42.04      ( ~ class_Numeral_Onumber__ring(X0)
% 41.86/42.04      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 41.86/42.04      inference(rewriting,[status(thm)],[c_15376]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_697,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13526_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15372,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_697]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_695,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13527_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15368,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_695]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_693,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13528_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15364,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_693]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_691,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13529_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15360,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_691]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_689,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13530_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15356,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__group__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_689]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_687,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13531_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15352,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_687]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_685,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13532_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15348,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_685]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_683,plain,
% 41.86/42.04      ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13533_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15344,plain,
% 41.86/42.04      ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_683]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_681,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13534_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15340,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_681]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_679,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13535_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15336,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_679]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_677,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13536_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15332,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(X0)
% 41.86/42.04      | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_677]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_675,plain,
% 41.86/42.04      ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13537_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15328,plain,
% 41.86/42.04      ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_675]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_673,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13538_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15324,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_673]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_671,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13539_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15320,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_671]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15321,plain,
% 41.86/42.04      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 41.86/42.04      inference(rewriting,[status(thm)],[c_15320]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_669,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13540_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15316,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_669]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_667,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13541_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15312,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_667]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_665,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13542_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15308,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_665]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15309,plain,
% 41.86/42.04      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 41.86/42.04      inference(rewriting,[status(thm)],[c_15308]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_663,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13543_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15304,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_663]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_661,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13544_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15300,plain,
% 41.86/42.04      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_661]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_659,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13545_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15296,plain,
% 41.86/42.04      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_659]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15297,plain,
% 41.86/42.04      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 41.86/42.04      inference(rewriting,[status(thm)],[c_15296]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_657,plain,
% 41.86/42.04      ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13581_1) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15292,plain,
% 41.86/42.04      ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 41.86/42.04      inference(copy,[status(esa)],[c_657]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15293,plain,
% 41.86/42.04      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 41.86/42.04      inference(rewriting,[status(thm)],[c_15292]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_652,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11128_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15282,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_652]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_651,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11129_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15280,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_651]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_650,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11130_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15278,plain,
% 41.86/42.04      ( ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_650]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_649,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11286_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15276,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_649]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_648,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11287_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15274,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_648]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_647,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11288_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15272,plain,
% 41.86/42.04      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_647]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_646,plain,
% 41.86/42.04      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11289_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15270,plain,
% 41.86/42.04      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_646]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_645,plain,
% 41.86/42.04      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11290_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15268,plain,
% 41.86/42.04      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_645]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_644,plain,
% 41.86/42.04      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11291_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15266,plain,
% 41.86/42.04      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_644]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_643,plain,
% 41.86/42.04      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11676_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15264,plain,
% 41.86/42.04      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_643]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_642,plain,
% 41.86/42.04      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11677_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15262,plain,
% 41.86/42.04      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_642]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_641,plain,
% 41.86/42.04      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11877_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15260,plain,
% 41.86/42.04      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_641]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_640,plain,
% 41.86/42.04      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11927_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15258,plain,
% 41.86/42.04      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_640]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_639,plain,
% 41.86/42.04      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11958_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15256,plain,
% 41.86/42.04      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_639]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_638,plain,
% 41.86/42.04      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11959_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15254,plain,
% 41.86/42.04      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_638]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_637,plain,
% 41.86/42.04      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11960_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15252,plain,
% 41.86/42.04      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_637]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_636,plain,
% 41.86/42.04      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11961_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15250,plain,
% 41.86/42.04      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_636]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_635,plain,
% 41.86/42.04      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11962_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15248,plain,
% 41.86/42.04      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_635]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_634,plain,
% 41.86/42.04      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11963_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15246,plain,
% 41.86/42.04      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_634]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_633,plain,
% 41.86/42.04      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12066_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15244,plain,
% 41.86/42.04      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_633]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_632,plain,
% 41.86/42.04      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12108_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15242,plain,
% 41.86/42.04      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_632]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_631,plain,
% 41.86/42.04      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12225_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15240,plain,
% 41.86/42.04      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_631]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_630,plain,
% 41.86/42.04      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12236_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15238,plain,
% 41.86/42.04      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_630]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_628,plain,
% 41.86/42.04      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12267_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15234,plain,
% 41.86/42.04      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 41.86/42.04      inference(copy,[status(esa)],[c_628]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_626,plain,
% 41.86/42.04      ( c_insert(X0,X1,X2) != c_emptyset ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12275_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15230,plain,
% 41.86/42.04      ( c_insert(X0,X1,X2) != c_emptyset ),
% 41.86/42.04      inference(copy,[status(esa)],[c_626]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_624,plain,
% 41.86/42.04      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12277_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15226,plain,
% 41.86/42.04      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 41.86/42.04      inference(copy,[status(esa)],[c_624]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_623,plain,
% 41.86/42.04      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12278_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15224,plain,
% 41.86/42.04      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_623]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_622,plain,
% 41.86/42.04      ( ~ c_less(X0,X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12286_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15222,plain,
% 41.86/42.04      ( ~ c_less(X0,X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_622]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_621,plain,
% 41.86/42.04      ( ~ c_in(X0,c_emptyset,X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12287_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15220,plain,
% 41.86/42.04      ( ~ c_in(X0,c_emptyset,X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_621]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_620,plain,
% 41.86/42.04      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12288_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15218,plain,
% 41.86/42.04      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_620]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_619,plain,
% 41.86/42.04      ( ~ c_less(X0,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12303_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15216,plain,
% 41.86/42.04      ( ~ c_less(X0,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_619]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_618,plain,
% 41.86/42.04      ( ~ c_less(c_0,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12308_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15214,plain,
% 41.86/42.04      ( ~ c_less(c_0,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_618]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_617,plain,
% 41.86/42.04      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12557_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15212,plain,
% 41.86/42.04      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_617]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_615,plain,
% 41.86/42.04      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12574_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15208,plain,
% 41.86/42.04      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 41.86/42.04      inference(copy,[status(esa)],[c_615]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_614,plain,
% 41.86/42.04      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12596_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15206,plain,
% 41.86/42.04      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_614]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_612,plain,
% 41.86/42.04      ( c_Suc(X0) != c_0 ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13585_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15202,plain,
% 41.86/42.04      ( c_Suc(X0) != c_0 ),
% 41.86/42.04      inference(copy,[status(esa)],[c_612]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_611,plain,
% 41.86/42.04      ( c_UNIV != c_emptyset ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13709_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15200,plain,
% 41.86/42.04      ( c_UNIV != c_emptyset ),
% 41.86/42.04      inference(copy,[status(esa)],[c_611]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_609,plain,
% 41.86/42.04      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13711_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15196,plain,
% 41.86/42.04      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 41.86/42.04      inference(copy,[status(esa)],[c_609]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_608,plain,
% 41.86/42.04      ( c_1 != c_0 ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13712_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15194,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_608]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_606,plain,
% 41.86/42.04      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13714_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15190,plain,
% 41.86/42.04      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 41.86/42.04      inference(copy,[status(esa)],[c_606]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_570,plain,
% 41.86/42.04      ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11048_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15153,plain,
% 41.86/42.04      ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X1,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_570]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_554,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11120_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15136,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_554]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_553,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11121_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15134,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_553]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_549,plain,
% 41.86/42.04      ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11148_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15129,plain,
% 41.86/42.04      ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_549]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_540,plain,
% 41.86/42.04      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11208_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15119,plain,
% 41.86/42.04      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_540]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_537,plain,
% 41.86/42.04      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11219_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15115,plain,
% 41.86/42.04      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_537]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_432,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11845_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15009,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_432]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_431,plain,
% 41.86/42.04      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11854_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15007,plain,
% 41.86/42.04      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_431]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_427,plain,
% 41.86/42.04      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_11906_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15002,plain,
% 41.86/42.04      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_427]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_410,plain,
% 41.86/42.04      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12004_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14984,plain,
% 41.86/42.04      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_410]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_409,plain,
% 41.86/42.04      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12005_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14982,plain,
% 41.86/42.04      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_409]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_407,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12007_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14979,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_407]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_406,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12008_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14977,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_406]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_405,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12009_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14975,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_405]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_404,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12010_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14973,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_404]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_403,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12011_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14971,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_403]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_402,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12012_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14969,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_402]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_401,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12013_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14967,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_401]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_400,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12014_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14965,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_400]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_399,plain,
% 41.86/42.04      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12022_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14963,plain,
% 41.86/42.04      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_399]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_398,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12026_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14961,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_398]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_397,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12027_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14959,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_397]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_396,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12028_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14957,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_396]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_395,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12029_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14955,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_395]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_394,plain,
% 41.86/42.04      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12031_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14953,plain,
% 41.86/42.04      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_394]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_387,plain,
% 41.86/42.04      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12038_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14945,plain,
% 41.86/42.04      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_387]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_385,plain,
% 41.86/42.04      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12056_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14942,plain,
% 41.86/42.04      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_385]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_373,plain,
% 41.86/42.04      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12126_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14929,plain,
% 41.86/42.04      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_373]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_365,plain,
% 41.86/42.04      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12155_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14920,plain,
% 41.86/42.04      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_365]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_354,plain,
% 41.86/42.04      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12192_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14908,plain,
% 41.86/42.04      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_354]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_353,plain,
% 41.86/42.04      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12193_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14906,plain,
% 41.86/42.04      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_353]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_350,plain,
% 41.86/42.04      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12220_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14902,plain,
% 41.86/42.04      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_350]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_345,plain,
% 41.86/42.04      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12280_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14896,plain,
% 41.86/42.04      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_345]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_344,plain,
% 41.86/42.04      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12281_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14894,plain,
% 41.86/42.04      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_344]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_338,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12306_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14887,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_338]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_337,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12307_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14885,plain,
% 41.86/42.04      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_337]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_334,plain,
% 41.86/42.04      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12319_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14881,plain,
% 41.86/42.04      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_334]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_333,plain,
% 41.86/42.04      ( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12320_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14879,plain,
% 41.86/42.04      ( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_333]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_332,plain,
% 41.86/42.04      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12321_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14877,plain,
% 41.86/42.04      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_332]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_326,plain,
% 41.86/42.04      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12369_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14870,plain,
% 41.86/42.04      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_326]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_322,plain,
% 41.86/42.04      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12380_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14865,plain,
% 41.86/42.04      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_322]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_321,plain,
% 41.86/42.04      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12381_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14863,plain,
% 41.86/42.04      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_321]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_320,plain,
% 41.86/42.04      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12382_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14861,plain,
% 41.86/42.04      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_320]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_315,plain,
% 41.86/42.04      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12394_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14854,plain,
% 41.86/42.04      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_315]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_314,plain,
% 41.86/42.04      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12395_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14852,plain,
% 41.86/42.04      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_314]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_313,plain,
% 41.86/42.04      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12396_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14850,plain,
% 41.86/42.04      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_313]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_311,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12398_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14847,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_311]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_287,plain,
% 41.86/42.04      ( c_in(X0,c_UNIV,X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12434_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14819,plain,
% 41.86/42.04      ( c_in(X0,c_UNIV,X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_287]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_265,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12457_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14796,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_265]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_261,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12461_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14791,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_261]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_250,plain,
% 41.86/42.04      ( c_lessequals(c_0,X0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12472_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14779,plain,
% 41.86/42.04      ( c_lessequals(c_0,X0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_250]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_249,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12473_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14777,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_249]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_248,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12474_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14775,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_248]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_247,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12475_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14773,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_247]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_227,plain,
% 41.86/42.04      ( c_less(c_0,c_1,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12500_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14752,plain,
% 41.86/42.04      ( c_less(c_0,c_1,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_227]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_226,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12501_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14750,plain,
% 41.86/42.04      ( c_lessequals(c_0,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_226]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_224,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12503_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14747,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_224]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_223,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12504_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14745,plain,
% 41.86/42.04      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_223]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_215,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12525_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14736,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_215]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_209,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12531_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14729,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_209]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_205,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12556_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14724,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_205]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_184,plain,
% 41.86/42.04      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12612_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14702,plain,
% 41.86/42.04      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_184]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_166,plain,
% 41.86/42.04      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12630_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14683,plain,
% 41.86/42.04      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_166]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_164,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_12632_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14680,plain,
% 41.86/42.04      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_164]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_157,plain,
% 41.86/42.04      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13546_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14672,plain,
% 41.86/42.04      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_157]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_156,plain,
% 41.86/42.04      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13547_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14670,plain,
% 41.86/42.04      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_156]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_153,plain,
% 41.86/42.04      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13550_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14666,plain,
% 41.86/42.04      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_153]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_152,plain,
% 41.86/42.04      ( c_Parity_Oeven(c_0,tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13551_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14664,plain,
% 41.86/42.04      ( c_Parity_Oeven(c_0,tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_152]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_126,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13577_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14637,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_126]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_125,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13578_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14635,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_125]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_124,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13579_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14633,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_124]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_123,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_set(X0)) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13580_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14631,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_set(X0)) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_123]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_121,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13587_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14628,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_121]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_120,plain,
% 41.86/42.04      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13588_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14626,plain,
% 41.86/42.04      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_120]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_119,plain,
% 41.86/42.04      ( class_Orderings_Olinorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13589_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14624,plain,
% 41.86/42.04      ( class_Orderings_Olinorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_119]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_118,plain,
% 41.86/42.04      ( class_LOrder_Olorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13590_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14622,plain,
% 41.86/42.04      ( class_LOrder_Olorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_118]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_117,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13591_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14620,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_117]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_116,plain,
% 41.86/42.04      ( class_Parity_Oeven__odd(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13592_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14618,plain,
% 41.86/42.04      ( class_Parity_Oeven__odd(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_116]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_115,plain,
% 41.86/42.04      ( class_Numeral_Onumber(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13593_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14616,plain,
% 41.86/42.04      ( class_Numeral_Onumber(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_115]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_114,plain,
% 41.86/42.04      ( class_Power_Orecpower(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13594_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14614,plain,
% 41.86/42.04      ( class_Power_Orecpower(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_114]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_113,plain,
% 41.86/42.04      ( class_Divides_Odiv(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13595_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14612,plain,
% 41.86/42.04      ( class_Divides_Odiv(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_113]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_112,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13596_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14610,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_112]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_111,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13597_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14608,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_111]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_110,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13598_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14606,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_110]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_109,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13599_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14604,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_109]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_108,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13600_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14602,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_108]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_107,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13601_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14600,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_107]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_106,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13602_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14598,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_106]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_105,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13603_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14596,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_105]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_104,plain,
% 41.86/42.04      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13604_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14594,plain,
% 41.86/42.04      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_104]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_103,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13605_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14592,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_103]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_102,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13606_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14590,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_102]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_101,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13607_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14588,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_101]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_100,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13608_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14586,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_100]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_99,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13609_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14584,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_99]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_98,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13610_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14582,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_98]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_97,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13611_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14580,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_97]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_96,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13612_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14578,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_96]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_95,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13613_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14576,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_95]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_94,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13614_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14574,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_94]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_93,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13615_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14572,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_93]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_92,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13616_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14570,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_92]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_91,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13617_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14568,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_91]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_90,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13618_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14566,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_90]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_89,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13619_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14564,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_89]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_88,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13620_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14562,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_88]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_87,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13621_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14560,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_87]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_86,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13622_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14558,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_86]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_85,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13623_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14556,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_85]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_84,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13624_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14554,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_84]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_83,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13625_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14552,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_83]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_82,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13626_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14550,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_82]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_81,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13627_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14548,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_81]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_80,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13628_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14546,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_80]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_79,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13629_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14544,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_79]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_78,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13630_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14542,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_78]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_77,plain,
% 41.86/42.04      ( class_HOL_Otimes(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13631_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14540,plain,
% 41.86/42.04      ( class_HOL_Otimes(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_77]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_76,plain,
% 41.86/42.04      ( class_HOL_Oplus(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13632_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14538,plain,
% 41.86/42.04      ( class_HOL_Oplus(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_76]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_75,plain,
% 41.86/42.04      ( class_HOL_Ozero(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13633_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14536,plain,
% 41.86/42.04      ( class_HOL_Ozero(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_75]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_74,plain,
% 41.86/42.04      ( class_HOL_Oone(tc_nat) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13634_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14534,plain,
% 41.86/42.04      ( class_HOL_Oone(tc_nat) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_74]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_73,plain,
% 41.86/42.04      ( class_Finite__Set_Ofinite(tc_bool) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13635_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14532,plain,
% 41.86/42.04      ( class_Finite__Set_Ofinite(tc_bool) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_73]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_72,plain,
% 41.86/42.04      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13636_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14530,plain,
% 41.86/42.04      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_72]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_71,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13637_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14528,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_71]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_70,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13638_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14526,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_70]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_69,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13639_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14524,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_69]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_68,plain,
% 41.86/42.04      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13640_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14522,plain,
% 41.86/42.04      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_68]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_67,plain,
% 41.86/42.04      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13641_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14520,plain,
% 41.86/42.04      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_67]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_66,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13642_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14518,plain,
% 41.86/42.04      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_66]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_65,plain,
% 41.86/42.04      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13643_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14516,plain,
% 41.86/42.04      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_65]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_64,plain,
% 41.86/42.04      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13644_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14514,plain,
% 41.86/42.04      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_64]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_63,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13645_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14512,plain,
% 41.86/42.04      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_63]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_62,plain,
% 41.86/42.04      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13646_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14510,plain,
% 41.86/42.04      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_62]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_61,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13647_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14508,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_61]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_60,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13648_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14506,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_60]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_59,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13649_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14504,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_59]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_58,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13650_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14502,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_58]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_57,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13651_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14500,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_57]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_56,plain,
% 41.86/42.04      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13652_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14498,plain,
% 41.86/42.04      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_56]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_55,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13653_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14496,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_55]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_54,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13654_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14494,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_54]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_53,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13655_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14492,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_53]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_52,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13656_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14490,plain,
% 41.86/42.04      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_52]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_51,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13657_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14488,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_51]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_50,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13658_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14486,plain,
% 41.86/42.04      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_50]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_49,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13659_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14484,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_49]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_48,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13660_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14482,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_48]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_47,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13661_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14480,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_47]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_46,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13662_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14478,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_46]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_45,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13663_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14476,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_45]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_44,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13664_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14474,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_44]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_43,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13665_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14472,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_43]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_42,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13666_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14470,plain,
% 41.86/42.04      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_42]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_41,plain,
% 41.86/42.04      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13667_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14468,plain,
% 41.86/42.04      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_41]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_40,plain,
% 41.86/42.04      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13668_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14466,plain,
% 41.86/42.04      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_40]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_39,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13669_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14464,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_39]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_38,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13670_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14462,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_38]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_37,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13671_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14460,plain,
% 41.86/42.04      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_37]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_36,plain,
% 41.86/42.04      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13672_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14458,plain,
% 41.86/42.04      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_36]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_35,plain,
% 41.86/42.04      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13673_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14456,plain,
% 41.86/42.04      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_35]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_34,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13674_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14454,plain,
% 41.86/42.04      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_34]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_33,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13675_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14452,plain,
% 41.86/42.04      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_33]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_32,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13676_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14450,plain,
% 41.86/42.04      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_32]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_31,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13677_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14448,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_31]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_30,plain,
% 41.86/42.04      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13678_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14446,plain,
% 41.86/42.04      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_30]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_29,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13679_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14444,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_29]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_28,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13680_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14442,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_28]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_27,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13681_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14440,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_27]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_26,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13682_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14438,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_26]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_25,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13683_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14436,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_25]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_24,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13684_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14434,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_24]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_23,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13685_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14432,plain,
% 41.86/42.04      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_23]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_22,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13686_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14430,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_22]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_21,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13687_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14428,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_21]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_20,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13688_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14426,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_20]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_19,plain,
% 41.86/42.04      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13689_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14424,plain,
% 41.86/42.04      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_19]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_18,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13690_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14422,plain,
% 41.86/42.04      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_18]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_17,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13691_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14420,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_17]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_16,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13692_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14418,plain,
% 41.86/42.04      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_16]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_15,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13693_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14416,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_15]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13694_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14414,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_14]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_13,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13695_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14412,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_13]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_12,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13696_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14410,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_12]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_11,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13697_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14408,plain,
% 41.86/42.04      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_11]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_10,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13698_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14406,plain,
% 41.86/42.04      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_10]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_9,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13699_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14404,plain,
% 41.86/42.04      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_9]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_8,plain,
% 41.86/42.04      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13700_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14402,plain,
% 41.86/42.04      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_8]) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_7,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 41.86/42.04      file('/export/starexec/sandbox/tmp/iprover_modulo_9591ab.p', c_0_13701_0) ).
% 41.86/42.04  
% 41.86/42.04  cnf(c_14400,plain,
% 41.86/42.04      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 41.86/42.04      inference(copy,[status(esa)],[c_7]) ).
% 41.86/42.04  
% 41.86/42.04  
% 41.86/42.04  
% 41.86/42.04  % ------                             Statistics
% 41.86/42.04  
% 41.86/42.04  % ------ General
% 41.86/42.04  
% 41.86/42.04  % num_of_input_clauses:                 6014
% 41.86/42.04  % num_of_input_neg_conjectures:         1
% 41.86/42.04  % num_of_splits:                        0
% 41.86/42.04  % num_of_split_atoms:                   0
% 41.86/42.04  % num_of_sem_filtered_clauses:          0
% 41.86/42.04  % num_of_subtypes:                      0
% 41.86/42.04  % monotx_restored_types:                0
% 41.86/42.04  % sat_num_of_epr_types:                 0
% 41.86/42.04  % sat_num_of_non_cyclic_types:          0
% 41.86/42.04  % sat_guarded_non_collapsed_types:      0
% 41.86/42.04  % is_epr:                               0
% 41.86/42.04  % is_horn:                              0
% 41.86/42.04  % has_eq:                               1
% 41.86/42.04  % num_pure_diseq_elim:                  0
% 41.86/42.04  % simp_replaced_by:                     0
% 41.86/42.04  % res_preprocessed:                     2
% 41.86/42.04  % prep_upred:                           0
% 41.86/42.04  % prep_unflattend:                      0
% 41.86/42.04  % pred_elim_cands:                      0
% 41.86/42.04  % pred_elim:                            0
% 41.86/42.04  % pred_elim_cl:                         0
% 41.86/42.04  % pred_elim_cycles:                     0
% 41.86/42.04  % forced_gc_time:                       0
% 41.86/42.04  % gc_basic_clause_elim:                 0
% 41.86/42.04  % parsing_time:                         0.151
% 41.86/42.04  % sem_filter_time:                      0.
% 41.86/42.04  % pred_elim_time:                       0.
% 41.86/42.04  % out_proof_time:                       0.
% 41.86/42.04  % monotx_time:                          0.
% 41.86/42.04  % subtype_inf_time:                     0.
% 41.86/42.04  % unif_index_cands_time:                0.
% 41.86/42.04  % unif_index_add_time:                  0.004
% 41.86/42.04  % total_time:                           18.143
% 41.86/42.04  % num_of_symbols:                       358
% 41.86/42.04  % num_of_terms:                         9769
% 41.86/42.04  
% 41.86/42.04  % ------ Propositional Solver
% 41.86/42.04  
% 41.86/42.04  % prop_solver_calls:                    1
% 41.86/42.04  % prop_fast_solver_calls:               3
% 41.86/42.04  % prop_num_of_clauses:                  6079
% 41.86/42.04  % prop_preprocess_simplified:           17619
% 41.86/42.04  % prop_fo_subsumed:                     0
% 41.86/42.04  % prop_solver_time:                     0.
% 41.86/42.04  % prop_fast_solver_time:                0.
% 41.86/42.04  % prop_unsat_core_time:                 0.
% 41.86/42.04  
% 41.86/42.04  % ------ QBF 
% 41.86/42.04  
% 41.86/42.04  % qbf_q_res:                            0
% 41.86/42.04  % qbf_num_tautologies:                  0
% 41.86/42.04  % qbf_prep_cycles:                      0
% 41.86/42.04  
% 41.86/42.04  % ------ BMC1
% 41.86/42.04  
% 41.86/42.04  % bmc1_current_bound:                   -1
% 41.86/42.04  % bmc1_last_solved_bound:               -1
% 41.86/42.04  % bmc1_unsat_core_size:                 -1
% 41.86/42.04  % bmc1_unsat_core_parents_size:         -1
% 41.86/42.04  % bmc1_merge_next_fun:                  0
% 41.86/42.04  % bmc1_unsat_core_clauses_time:         0.
% 41.86/42.04  
% 41.86/42.04  % ------ Instantiation
% 41.86/42.04  
% 41.86/42.04  % inst_num_of_clauses:                  5888
% 41.86/42.04  % inst_num_in_passive:                  0
% 41.86/42.04  % inst_num_in_active:                   0
% 41.86/42.04  % inst_num_in_unprocessed:              6014
% 41.86/42.04  % inst_num_of_loops:                    0
% 41.86/42.04  % inst_num_of_learning_restarts:        0
% 41.86/42.04  % inst_num_moves_active_passive:        0
% 41.86/42.04  % inst_lit_activity:                    0
% 41.86/42.04  % inst_lit_activity_moves:              0
% 41.86/42.04  % inst_num_tautologies:                 0
% 41.86/42.04  % inst_num_prop_implied:                0
% 41.86/42.04  % inst_num_existing_simplified:         0
% 41.86/42.04  % inst_num_eq_res_simplified:           0
% 41.86/42.04  % inst_num_child_elim:                  0
% 41.86/42.04  % inst_num_of_dismatching_blockings:    0
% 41.86/42.04  % inst_num_of_non_proper_insts:         0
% 41.86/42.04  % inst_num_of_duplicates:               0
% 41.86/42.04  % inst_inst_num_from_inst_to_res:       0
% 41.86/42.04  % inst_dismatching_checking_time:       0.
% 41.86/42.04  
% 41.86/42.04  % ------ Resolution
% 41.86/42.04  
% 41.86/42.04  % res_num_of_clauses:                   6269
% 41.86/42.04  % res_num_in_passive:                   0
% 41.86/42.04  % res_num_in_active:                    2360
% 41.86/42.04  % res_num_of_loops:                     2
% 41.86/42.04  % res_forward_subset_subsumed:          3239
% 41.86/42.04  % res_backward_subset_subsumed:         0
% 41.86/42.04  % res_forward_subsumed:                 0
% 41.86/42.04  % res_backward_subsumed:                0
% 41.86/42.04  % res_forward_subsumption_resolution:   0
% 41.86/42.04  % res_backward_subsumption_resolution:  0
% 41.86/42.04  % res_clause_to_clause_subsumption:     0
% 41.86/42.04  % res_orphan_elimination:               0
% 41.86/42.04  % res_tautology_del:                    0
% 41.86/42.04  % res_num_eq_res_simplified:            0
% 41.86/42.04  % res_num_sel_changes:                  0
% 41.86/42.04  % res_moves_from_active_to_pass:        0
% 41.86/42.04  
% 41.86/42.04  % Status Unknown
% 41.86/42.04  % Last status :
% 41.86/42.04  % SZS status Unknown
%------------------------------------------------------------------------------